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5764933400152 = 2313125170930911
BaseRepresentation
bin101001111100100000011…
…0011101011011001011000
3202102010022010021000122111
41103321000303223121120
51223423040422301102
620132212430002104
71133334265245163
oct123710063533130
922363263230574
105764933400152
111922992681823
12791348646334
1332a82809bc74
1415d04a826ada
159ee5c1c9cd7
hex53e40ceb658

5764933400152 has 64 divisors (see below), whose sum is σ = 10950934579200. Its totient is φ = 2844956400000.

The previous prime is 5764933400147. The next prime is 5764933400159. The reversal of 5764933400152 is 2510043394675.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5764933400096 and 5764933400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764933400159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186485577 + ... + 186516487.

It is an arithmetic number, because the mean of its divisors is an integer number (171108352800).

Almost surely, 25764933400152 is an apocalyptic number.

It is an amenable number.

5764933400152 is a deficient number, since it is larger than the sum of its proper divisors (5186001179048).

5764933400152 is a wasteful number, since it uses less digits than its factorization.

5764933400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32008 (or 32004 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 5764933400152 in words is "five trillion, seven hundred sixty-four billion, nine hundred thirty-three million, four hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 8 131 251 262 502 524 709 1004 1048 1418 2008 2836 5672 30911 32881 61822 65762 92879 123644 131524 177959 185758 247288 263048 355918 371516 711836 743032 1423672 4049341 7758661 8098682 15517322 16197364 21915899 23312629 31034644 32394728 43831798 46625258 62069288 87663596 93250516 175327192 186501032 1016384591 2032769182 2870982769 4065538364 5500890649 5741965538 8131076728 11001781298 11483931076 22003562596 22967862152 44007125192 720616675019 1441233350038 2882466700076 5764933400152