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19376014104 = 23331916132927
BaseRepresentation
bin10010000010111001…
…101000001100011000
31212000100101111112000
4102002321220030120
5304140224422404
612522355121000
71254104255016
oct220271501430
955010344460
1019376014104
1182432891a7
123908ba3160
131a9a331605
14d1b4978b6
157860b1339
hex482e68318

19376014104 has 128 divisors (see below), whose sum is σ = 56709504000. Its totient is φ = 6112858752.

The previous prime is 19376014043. The next prime is 19376014139. The reversal of 19376014104 is 40141067391.

19376014104 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 601 + 41 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6618289 + ... + 6621215.

It is an arithmetic number, because the mean of its divisors is an integer number (443043000).

Almost surely, 219376014104 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 19376014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354752000).

19376014104 is an abundant number, since it is smaller than the sum of its proper divisors (37333489896).

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

19376014104 is a wasteful number, since it uses less digits than its factorization.

19376014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19376014104 in words is "nineteen billion, three hundred seventy-six million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 1613 2052 2927 3226 4104 4839 5854 6452 8781 9678 11708 12904 14517 17562 19356 23416 26343 29034 30647 35124 38712 43551 52686 55613 58068 61294 70248 79029 87102 91941 105372 111226 116136 122588 158058 166839 174204 183882 210744 222452 245176 275823 316116 333678 348408 367764 444904 500517 551646 632232 667356 735528 827469 1001034 1103292 1334712 1501551 1654938 2002068 2206584 3003102 3309876 4004136 4721251 6006204 6619752 9442502 12012408 14163753 18885004 28327506 37770008 42491259 56655012 84982518 89703769 113310024 127473777 169965036 179407538 254947554 269111307 339930072 358815076 509895108 538222614 717630152 807333921 1019790216 1076445228 1614667842 2152890456 2422001763 3229335684 4844003526 6458671368 9688007052 19376014104