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104558440572 = 22332964152081
BaseRepresentation
bin110000101100000101…
…0110011000001111100
3100222212212011010011000
41201120022303001330
53203113430044242
6120011122130300
710361025036465
oct1413012630174
9328785133130
10104558440572
1140385571a63
12183204b0990
139b24038461
1450bc61dd6c
152abe51da4c
hex18582b307c

104558440572 has 96 divisors (see below), whose sum is σ = 280867809600. Its totient is φ = 33597849600.

The previous prime is 104558440549. The next prime is 104558440579. The reversal of 104558440572 is 275044855401.

104558440572 is a `hidden beast` number, since 1 + 0 + 4 + 558 + 4 + 40 + 57 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104558440579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981572 + ... + 2033652.

It is an arithmetic number, because the mean of its divisors is an integer number (2925706350).

Almost surely, 2104558440572 is an apocalyptic number.

104558440572 is a gapful number since it is divisible by the number (12) 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 104558440572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140433904800).

104558440572 is an abundant number, since it is smaller than the sum of its proper divisors (176309369028).

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

104558440572 is a wasteful number, since it uses less digits than its factorization.

104558440572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52764 (or 52756 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 104558440572 in words is "one hundred four billion, five hundred fifty-eight million, four hundred forty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 641 783 1044 1282 1566 1923 2564 3132 3846 5769 7692 11538 17307 18589 23076 34614 37178 52081 55767 69228 74356 104162 111534 156243 167301 208324 223068 312486 334602 468729 501903 624972 669204 937458 1003806 1406187 1510349 1874916 2007612 2812374 3020698 4531047 5624748 6041396 9062094 13593141 18124188 27186282 33383921 40779423 54372564 66767842 81558846 100151763 133535684 163117692 200303526 300455289 400607052 600910578 901365867 968133709 1201821156 1802731734 1936267418 2904401127 3605463468 3872534836 5808802254 8713203381 11617604508 17426406762 26139610143 34852813524 52279220286 104558440572