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20007679152 = 2434388111003
BaseRepresentation
bin10010101000100011…
…001111010010110000
31220122100222102001210
4102220203033102300
5311433431213102
613105202000120
71305544316046
oct225043172260
956570872053
1020007679152
1185378a452a
123a64646040
131b6b166006
14d7b324396
157c178636c
hex4a88cf4b0

20007679152 has 80 divisors (see below), whose sum is σ = 52953360768. Its totient is φ = 6506142720.

The previous prime is 20007679141. The next prime is 20007679163. The reversal of 20007679152 is 25197670002.

It is an interprime number because it is at equal distance from previous prime (20007679141) and next prime (20007679163).

It is a self number, because there is not a number n which added to its sum of digits gives 20007679152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812883 + ... + 1823885.

Almost surely, 220007679152 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 20007679152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26476680384).

20007679152 is an abundant number, since it is smaller than the sum of its proper divisors (32945681616).

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

20007679152 is a wasteful number, since it uses less digits than its factorization.

20007679152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 20007679152 in words is "twenty billion, seven million, six hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 881 1032 1762 2064 2643 3524 5286 7048 10572 11003 14096 21144 22006 33009 37883 42288 44012 66018 75766 88024 113649 132036 151532 176048 227298 264072 303064 454596 473129 528144 606128 909192 946258 1419387 1818384 1892516 2838774 3785032 5677548 7570064 9693643 11355096 19387286 22710192 29080929 38774572 58161858 77549144 116323716 155098288 232647432 416826649 465294864 833653298 1250479947 1667306596 2500959894 3334613192 5001919788 6669226384 10003839576 20007679152