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54270546552 = 23323149312
BaseRepresentation
bin110010100010110001…
…101101001001111000
312012002012121102011200
4302202301231021320
51342121224442202
640533114054200
73630606014535
oct624261551170
9165065542150
1054270546552
112101a343972
12a62711a360
13516b748c51
1428ab98bd8c
15162975be1c
hexca2c6d278

54270546552 has 72 divisors (see below), whose sum is σ = 151754884320. Its totient is φ = 17503077600.

The previous prime is 54270546523. The next prime is 54270546557. The reversal of 54270546552 is 25564507245.

54270546552 is a `hidden beast` number, since 5 + 42 + 7 + 0 + 54 + 6 + 552 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54270546498 and 54270546507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54270546557) 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 17 ways as a sum of consecutive naturals, for example, 11003527 + ... + 11008457.

Almost surely, 254270546552 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 54270546552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75877442160).

54270546552 is an abundant number, since it is smaller than the sum of its proper divisors (97484337768).

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

54270546552 is an equidigital number, since it uses as much as digits as its factorization.

54270546552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 54270546552 in words is "fifty-four billion, two hundred seventy million, five hundred forty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4931 9862 14793 19724 29586 39448 44379 59172 88758 118344 152861 177516 305722 355032 458583 611444 917166 1222888 1375749 1834332 2751498 3668664 5502996 11005992 24314761 48629522 72944283 97259044 145888566 194518088 218832849 291777132 437665698 583554264 753757591 875331396 1507515182 1750662792 2261272773 3015030364 4522545546 6030060728 6783818319 9045091092 13567636638 18090182184 27135273276 54270546552