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104081227272 = 233211211946881
BaseRepresentation
bin110000011101110111…
…0010111111000001000
3100221122121012011120100
41200323232113320020
53201124243233042
6115451513525400
710343141556201
oct1407356277010
9327577164510
10104081227272
1140160159600
1218208713860
139a79201019
1450750ba5a8
152a926a724c
hex183bb97e08

104081227272 has 72 divisors (see below), whose sum is σ = 309842384670. Its totient is φ = 31539763200.

The previous prime is 104081227253. The next prime is 104081227297. The reversal of 104081227272 is 272722180401.

104081227272 is a `hidden beast` number, since 1 + 0 + 408 + 1 + 227 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89349579396 + 14731647876 = 298914^2 + 121374^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 5964729 + ... + 5982152.

Almost surely, 2104081227272 is an apocalyptic number.

104081227272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104081227272 is an abundant number, since it is smaller than the sum of its proper divisors (205761157398).

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

104081227272 is a wasteful number, since it uses less digits than its factorization.

104081227272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946915 (or 11946897 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 104081227272 in words is "one hundred four billion, eighty-one million, two hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 11946881 23893762 35840643 47787524 71681286 95575048 107521929 131415691 143362572 215043858 262831382 286725144 394247073 430087716 525662764 788494146 860175432 1051325528 1182741219 1445572601 1576988292 2365482438 2891145202 3153976584 4336717803 4730964876 5782290404 8673435606 9461929752 11564580808 13010153409 17346871212 26020306818 34693742424 52040613636 104081227272