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5831068032 = 273219126501
BaseRepresentation
bin1010110111000111…
…10000100110000000
3120001101011221120200
411123203300212000
543420223134112
62402340005200
7264333155226
oct53343604600
916041157520
105831068032
112522538799
121168990800
1371c09b91a
143d45d6b16
15241db8cdc
hex15b8f0980

5831068032 has 96 divisors (see below), whose sum is σ = 16867992960. Its totient is φ = 1933440000.

The previous prime is 5831068013. The next prime is 5831068043. The reversal of 5831068032 is 2308601385.

5831068032 is a `hidden beast` number, since 583 + 10 + 68 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206782 + ... + 233282.

It is an arithmetic number, because the mean of its divisors is an integer number (175708260).

Almost surely, 25831068032 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 5831068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433996480).

5831068032 is an abundant number, since it is smaller than the sum of its proper divisors (11036924928).

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

5831068032 is a wasteful number, since it uses less digits than its factorization.

5831068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5831068032 is about 76361.4302642375. The cubic root of 5831068032 is about 1799.9041134107.

The spelling of 5831068032 in words is "five billion, eight hundred thirty-one million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 24448 26501 27504 36672 53002 55008 73344 79503 106004 110016 159006 212008 220032 238509 318012 424016 477018 636024 848032 954036 1272048 1696064 1908072 2544096 3392128 3816144 5061691 5088192 7632288 10123382 10176384 15185073 15264576 20246764 30370146 30529152 40493528 45555219 60740292 80987056 91110438 121480584 161974112 182220876 242961168 323948224 364441752 485922336 647896448 728883504 971844672 1457767008 1943689344 2915534016 5831068032