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52941534118704 = 243371122331307661
BaseRepresentation
bin11000000100110011010010…
…10101011100001100110000
320221110011100112120001002000
430002121221111130030300
523414343230213244304
6304333001030054000
714102620366036620
oct1402315125341460
9227404315501060
1052941534118704
1115961418910900
125b305107aa300
1323704995a283a
14d105536b2880
1561c1e6689939
hex30266955c330

52941534118704 has 1920 divisors, whose sum is σ = 206601389998080. Its totient is φ = 12668223744000.

The previous prime is 52941534118699. The next prime is 52941534118741. The reversal of 52941534118704 is 40781143514925.

52941534118704 is a `hidden beast` number, since 5 + 2 + 9 + 4 + 153 + 411 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80093092134 + ... + 80093092794.

It is an arithmetic number, because the mean of its divisors is an integer number (107604890624).

Almost surely, 252941534118704 is an apocalyptic number.

52941534118704 is a gapful number since it is divisible by the number (54) 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 52941534118704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103300694999040).

52941534118704 is an abundant number, since it is smaller than the sum of its proper divisors (153659855879376).

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

52941534118704 is a wasteful number, since it uses less digits than its factorization.

52941534118704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 52941534118704 in words is "fifty-two trillion, nine hundred forty-one billion, five hundred thirty-four million, one hundred eighteen thousand, seven hundred four".