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5823149540 = 22513293720873
BaseRepresentation
bin1010110110001011…
…00011010111100100
3120000211021122110012
411123011203113210
543411211241130
62401454145352
7264205645235
oct53305432744
916024248405
105823149540
11251901a48a
1211661b2258
1371a558620
143d353508c
15241352995
hex15b1635e4

5823149540 has 96 divisors (see below), whose sum is σ = 13992259680. Its totient is φ = 2019741696.

The previous prime is 5823149537. The next prime is 5823149543. The reversal of 5823149540 is 459413285.

It is an interprime number because it is at equal distance from previous prime (5823149537) and next prime (5823149543).

It can be written as a sum of positive squares in 16 ways, for example, as 1381460224 + 4441689316 = 37168^2 + 66646^2 .

It is not an unprimeable number, because it can be changed into a prime (5823149543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268544 + ... + 289416.

It is an arithmetic number, because the mean of its divisors is an integer number (145752705).

Almost surely, 25823149540 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 5823149540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996129840).

5823149540 is an abundant number, since it is smaller than the sum of its proper divisors (8169110140).

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

5823149540 is a wasteful number, since it uses less digits than its factorization.

5823149540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20961 (or 20959 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 5823149540 is about 76309.5638829105. The cubic root of 5823149540 is about 1799.0889978561.

The spelling of 5823149540 in words is "five billion, eight hundred twenty-three million, one hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 37 52 58 65 74 116 130 145 148 185 260 290 370 377 481 580 740 754 962 1073 1508 1885 1924 2146 2405 3770 4292 4810 5365 7540 9620 10730 13949 20873 21460 27898 41746 55796 69745 83492 104365 139490 208730 271349 278980 417460 542698 605317 772301 1085396 1210634 1356745 1544602 2421268 2713490 3026585 3089204 3861505 5426980 6053170 7723010 7869121 10039913 12106340 15446020 15738242 20079826 22396729 31476484 39345605 40159652 44793458 50199565 78691210 89586916 100399130 111983645 157382420 200798260 223967290 291157477 447934580 582314954 1164629908 1455787385 2911574770 5823149540