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3660644944 = 2411229113577
BaseRepresentation
bin1101101000110001…
…0000001001010000
3100110010011000211101
43122030100021100
524444111114234
61403124154144
7156466653145
oct33214201120
910403130741
103660644944
11160937a800
12861b38954
134645247c8
1426a2583cc
15166590814
hexda310250

3660644944 has 120 divisors (see below), whose sum is σ = 8150181480. Its totient is φ = 1589575680.

The previous prime is 3660644941. The next prime is 3660644983. The reversal of 3660644944 is 4494460663.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 635644944 + 3025000000 = 25212^2 + 55000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3660644894 and 3660644903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660644941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6343984 + ... + 6344560.

It is an arithmetic number, because the mean of its divisors is an integer number (67918179).

Almost surely, 23660644944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660644944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075090740).

3660644944 is an abundant number, since it is smaller than the sum of its proper divisors (4489536536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3660644944 is a wasteful number, since it uses less digits than its factorization.

3660644944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The square root of 3660644944 is about 60503.2639119577. The cubic root of 3660644944 is about 1541.1770592995.

The spelling of 3660644944 in words is "three billion, six hundred sixty million, six hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 113 116 121 176 226 232 242 319 452 464 484 577 638 904 968 1154 1243 1276 1808 1936 2308 2486 2552 3277 3509 4616 4972 5104 6347 6554 7018 9232 9944 12694 13108 13673 14036 16733 19888 25388 26216 27346 28072 33466 36047 50776 52432 54692 56144 65201 66932 69817 72094 101552 109384 130402 133864 139634 144188 184063 218768 260804 267728 279268 288376 368126 396517 521608 558536 576752 717211 736252 793034 1043216 1117072 1434422 1472504 1586068 1890829 2024693 2868844 2945008 3172136 3781658 4049386 5737688 6344272 7563316 7889321 8098772 11475376 15126632 15778642 16197544 20799119 30253264 31557284 32395088 41598238 63114568 83196476 126229136 166392952 228790309 332785904 457580618 915161236 1830322472 3660644944