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55818137952 = 25321280915131
BaseRepresentation
bin110011111111000001…
…010011000101100000
312100002001200012110200
4303333001103011200
51403303420403302
641350440225200
74014140226033
oct637701230540
9170061605420
1055818137952
112174397a225
12a99946b200
1353572621c5
1429b731d01a
1516ba55781c
hexcff053160

55818137952 has 72 divisors (see below), whose sum is σ = 158755713480. Its totient is φ = 18603363840.

The previous prime is 55818137897. The next prime is 55818137957. The reversal of 55818137952 is 25973181855.

55818137952 is a `hidden beast` number, since 5 + 581 + 8 + 1 + 3 + 7 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55818137957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3681427 + ... + 3696557.

It is an arithmetic number, because the mean of its divisors is an integer number (2204940465).

Almost surely, 255818137952 is an apocalyptic number.

It is an amenable number.

55818137952 is an abundant number, since it is smaller than the sum of its proper divisors (102937575528).

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

55818137952 is a wasteful number, since it uses less digits than its factorization.

55818137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956 (or 27945 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 55818137952 in words is "fifty-five billion, eight hundred eighteen million, one hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12809 15131 25618 30262 38427 45393 51236 60524 76854 90786 102472 115281 121048 136179 153708 181572 204944 230562 242096 272358 307416 363144 409888 461124 484192 544716 614832 726288 922248 1089432 1229664 1452576 1844496 2178864 3688992 4357728 193812979 387625958 581438937 775251916 1162877874 1550503832 1744316811 2325755748 3101007664 3488633622 4651511496 6202015328 6977267244 9303022992 13954534488 18606045984 27909068976 55818137952