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5156040090 = 235598833299
BaseRepresentation
bin1001100110101001…
…01110110110011010
3111022022222222022210
410303110232312122
541024421240330
62211343455550
7241525421565
oct46324566632
914268888283
105156040090
1122064a5263
12bba8b75b6
13642293ac6
1436cabd4dc
152029ca8b0
hex13352ed9a

5156040090 has 64 divisors (see below), whose sum is σ = 12602304000. Its totient is φ = 1349699904.

The previous prime is 5156040083. The next prime is 5156040103. The reversal of 5156040090 is 900406515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561261 + ... + 1564559.

It is an arithmetic number, because the mean of its divisors is an integer number (196911000).

Almost surely, 25156040090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156040090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301152000).

5156040090 is an abundant number, since it is smaller than the sum of its proper divisors (7446263910).

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

5156040090 is a wasteful number, since it uses less digits than its factorization.

5156040090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5156040090 is about 71805.5714412190. The cubic root of 5156040090 is about 1727.5823636786.

The spelling of 5156040090 in words is "five billion, one hundred fifty-six million, forty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 883 885 1766 1770 2649 3299 4415 5298 6598 8830 9897 13245 16495 19794 26490 32990 49485 52097 98970 104194 156291 194641 260485 312582 389282 520970 583923 781455 973205 1167846 1562910 1946410 2913017 2919615 5826034 5839230 8739051 14565085 17478102 29130170 43695255 87390510 171868003 343736006 515604009 859340015 1031208018 1718680030 2578020045 5156040090