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54561362604 = 2237318477177
BaseRepresentation
bin110010110100000111…
…000101001010101100
312012211110211101210120
4302310013011022230
51343220202100404
641022023204540
73641036634000
oct626407051254
9165743741716
1054561362604
1121159515311
12a6a85a6750
1351b6a7c758
1428d8450700
1516450549d9
hexcb41c52ac

54561362604 has 96 divisors (see below), whose sum is σ = 148567372800. Its totient is φ = 15578349696.

The previous prime is 54561362599. The next prime is 54561362617. The reversal of 54561362604 is 40626316545.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7598664 + ... + 7605840.

It is an arithmetic number, because the mean of its divisors is an integer number (1547576800).

Almost surely, 254561362604 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 54561362604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74283686400).

54561362604 is an abundant number, since it is smaller than the sum of its proper divisors (94006010196).

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

54561362604 is a wasteful number, since it uses less digits than its factorization.

54561362604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 54561362604 in words is "fifty-four billion, five hundred sixty-one million, three hundred sixty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1847 2058 3694 4116 5541 7177 7388 11082 12929 14354 21531 22164 25858 28708 38787 43062 50239 51716 77574 86124 90503 100478 150717 155148 181006 200956 271509 301434 351673 362012 543018 602868 633521 703346 1055019 1086036 1267042 1406692 1900563 2110038 2461711 2534084 3801126 4220076 4923422 7385133 7602252 9846844 13255919 14770266 26511838 29540532 39767757 53023676 79535514 92791433 159071028 185582866 278374299 371165732 556748598 649540031 1113497196 1299080062 1948620093 2598160124 3897240186 4546780217 7794480372 9093560434 13640340651 18187120868 27280681302 54561362604