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661121244 = 223374312029
BaseRepresentation
bin100111011001111…
…110100011011100
31201002000102212000
4213121332203130
52323221334434
6145334042300
722245303120
oct4731764334
91632012760
10661121244
1130a2051a3
121654a9390
13a6c79004
1463b37580
153d092b99
hex2767e8dc

661121244 has 96 divisors (see below), whose sum is σ = 1964390400. Its totient is φ = 188360640.

The previous prime is 661121203. The next prime is 661121249. The reversal of 661121244 is 442121166.

661121244 is a `hidden beast` number, since 6 + 611 + 2 + 1 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661121249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324822 + ... + 326850.

It is an arithmetic number, because the mean of its divisors is an integer number (20462400).

Almost surely, 2661121244 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 661121244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982195200).

661121244 is an abundant number, since it is smaller than the sum of its proper divisors (1303269156).

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

661121244 is a wasteful number, since it uses less digits than its factorization.

661121244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2472 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 661121244 is about 25712.2780787701. The cubic root of 661121244 is about 871.1515310482.

The spelling of 661121244 in words is "six hundred sixty-one million, one hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 2029 2586 3017 3879 4058 5172 6034 6087 7758 8116 9051 11637 12068 12174 14203 15516 18102 18261 23274 24348 27153 28406 36204 36522 42609 46548 54306 54783 56812 73044 81459 85218 108612 109566 127827 162918 170436 219132 255654 325836 383481 511308 766962 874499 1533924 1748998 2623497 3497996 5246994 6121493 7870491 10493988 12242986 15740982 18364479 23611473 24485972 31481964 36728958 47222946 55093437 73457916 94445892 110186874 165280311 220373748 330560622 661121244