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42996053215584 = 2533771210113963
BaseRepresentation
bin10011100011010110011000…
…11110101000100101100000
312122020101022212121212101000
421301223030132220211200
521113421404110344314
6231240040354312000
712025235165143530
oct1161531436504540
9178211285555330
1042996053215584
1112777584154247
1249a4b0b288600
131acb683518b71
14a8903d1514c0
154e865cbed209
hex271acc7a8960

42996053215584 has 576 divisors, whose sum is σ = 146816995530240. Its totient is φ = 11990788992000.

The previous prime is 42996053215573. The next prime is 42996053215597. The reversal of 42996053215584 is 48551235069924.

42996053215584 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 6 + 0 + 5 + 32 + 15 + 584 = 666.

It is a super-2 number, since 2×429960532155842 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3079277787 + ... + 3079291749.

It is an arithmetic number, because the mean of its divisors is an integer number (254890617240).

Almost surely, 242996053215584 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 42996053215584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73408497765120).

42996053215584 is an abundant number, since it is smaller than the sum of its proper divisors (103820942314656).

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

42996053215584 is a wasteful number, since it uses less digits than its factorization.

42996053215584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14232 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 42996053215584 in words is "forty-two trillion, nine hundred ninety-six billion, fifty-three million, two hundred fifteen thousand, five hundred eighty-four".