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5156152100 = 22521110214591
BaseRepresentation
bin1001100110101010…
…01010001100100100
3111022100012122222022
410303111022030210
541024433331400
62211350122312
7241526366261
oct46325121444
914270178868
105156152100
112206571430
12bba950398
13642302a98
1436cb0c268
152029edb85
hex13354a324

5156152100 has 72 divisors (see below), whose sum is σ = 12220634496. Its totient is φ = 1872720000.

The previous prime is 5156152091. The next prime is 5156152103. The reversal of 5156152100 is 12516515.

It is a self number, because there is not a number n which added to its sum of digits gives 5156152100.

It is not an unprimeable number, because it can be changed into a prime (5156152103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120805 + ... + 1125395.

Almost surely, 25156152100 is an apocalyptic number.

5156152100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110317248).

5156152100 is an abundant number, since it is smaller than the sum of its proper divisors (7064482396).

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

5156152100 is a wasteful number, since it uses less digits than its factorization.

5156152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 5156152100 is about 71806.3513903889. The cubic root of 5156152100 is about 1727.5948736084.

Adding to 5156152100 its reverse (12516515), we get a palindrome (5168668615).

It can be divided in two parts, 515615 and 2100, that added together give a palindrome (517715).

The spelling of 5156152100 in words is "five billion, one hundred fifty-six million, one hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1021 1100 2042 4084 4591 5105 9182 10210 11231 18364 20420 22462 22955 25525 44924 45910 50501 51050 56155 91820 101002 102100 112310 114775 202004 224620 229550 252505 280775 459100 505010 561550 1010020 1123100 1262525 2525050 4687411 5050100 9374822 18749644 23437055 46874110 51561521 93748220 103123042 117185275 206246084 234370550 257807605 468741100 515615210 1031230420 1289038025 2578076050 5156152100