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104058001296 = 24331136921187
BaseRepresentation
bin110000011101001010…
…1110001011110010000
3100221120222111011112000
41200322111301132100
53201102322020141
6115445324034000
710342440263034
oct1407225613620
9327528434460
10104058001296
1140149035587
1218200992900
139a7445b442
145071d921c4
152a9061a5b6
hex183a571790

104058001296 has 80 divisors (see below), whose sum is σ = 298725374400. Its totient is φ = 34681312512.

The previous prime is 104058001291. The next prime is 104058001303. The reversal of 104058001296 is 692100850401.

104058001296 is a `hidden beast` number, since 10 + 40 + 580 + 0 + 1 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104058001296.

It is not an unprimeable number, because it can be changed into a prime (104058001291) 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 15 ways as a sum of consecutive naturals, for example, 4900815 + ... + 4922001.

It is an arithmetic number, because the mean of its divisors is an integer number (3734067180).

Almost surely, 2104058001296 is an apocalyptic number.

104058001296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104058001296 is an abundant number, since it is smaller than the sum of its proper divisors (194667373104).

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

104058001296 is a wasteful number, since it uses less digits than its factorization.

104058001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32573 (or 32561 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 104058001296 its reverse (692100850401), we get a palindrome (796158851697).

The spelling of 104058001296 in words is "one hundred four billion, fifty-eight million, one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11369 21187 22738 34107 42374 45476 63561 68214 84748 90952 102321 127122 136428 169496 181904 190683 204642 254244 272856 306963 338992 381366 409284 508488 545712 572049 613926 762732 818568 1016976 1144098 1227852 1525464 1637136 2288196 2455704 3050928 4576392 4911408 9152784 240875003 481750006 722625009 963500012 1445250018 1927000024 2167875027 2890500036 3854000048 4335750054 5781000072 6503625081 8671500108 11562000144 13007250162 17343000216 26014500324 34686000432 52029000648 104058001296