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52544199384 = 233223264711987
BaseRepresentation
bin110000111011111000…
…001101101011011000
312000121220011220001200
4300323320031223120
51330102303340014
640045524314200
73540044216445
oct607370155330
9160556156050
1052544199384
1120313915776
12a224b42960
134c54ba6251
1427865a89cc
151577e01a09
hexc3be0dad8

52544199384 has 96 divisors (see below), whose sum is σ = 148562968320. Its totient is φ = 16745496768.

The previous prime is 52544199349. The next prime is 52544199431. The reversal of 52544199384 is 48399144525.

It is a happy number.

52544199384 is a `hidden beast` number, since 5 + 2 + 544 + 1 + 9 + 93 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52544199384.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4377439 + ... + 4389425.

It is an arithmetic number, because the mean of its divisors is an integer number (1547530920).

Almost surely, 252544199384 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 52544199384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74281484160).

52544199384 is an abundant number, since it is smaller than the sum of its proper divisors (96018768936).

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

52544199384 is a wasteful number, since it uses less digits than its factorization.

52544199384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14662 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 52544199384 in words is "fifty-two billion, five hundred forty-four million, one hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2647 5294 7941 10588 11987 15882 21176 23823 23974 31764 35961 47646 47948 60881 63528 71922 95292 95896 107883 121762 143844 182643 190584 215766 243524 275701 287688 365286 431532 487048 547929 551402 730572 827103 863064 1095858 1102804 1461144 1654206 2191716 2205608 2481309 3308412 4383432 4962618 6616824 9925236 19850472 31729589 63459178 95188767 126918356 190377534 253836712 285566301 380755068 571132602 729780547 761510136 1142265204 1459561094 2189341641 2284530408 2919122188 4378683282 5838244376 6568024923 8757366564 13136049846 17514733128 26272099692 52544199384