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19994271672 = 2331973959333
BaseRepresentation
bin10010100111110000…
…000101111110111000
31220121102202020110110
4102213300011332320
5311422013143142
613104002344320
71305322335144
oct224760057670
956542666413
1019994271672
118530277271
123a6005b0a0
131b684504ab
14d79634224
157c04d899c
hex4a7c05fb8

19994271672 has 64 divisors (see below), whose sum is σ = 52688592000. Its totient is φ = 6305330304.

The previous prime is 19994271607. The next prime is 19994271679. The reversal of 19994271672 is 27617249991.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19994271679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307318 + ... + 366650.

It is an arithmetic number, because the mean of its divisors is an integer number (823259250).

Almost surely, 219994271672 is an apocalyptic number.

19994271672 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 19994271672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26344296000).

19994271672 is an abundant number, since it is smaller than the sum of its proper divisors (32694320328).

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

19994271672 is a wasteful number, since it uses less digits than its factorization.

19994271672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60100 (or 60096 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The spelling of 19994271672 in words is "nineteen billion, nine hundred ninety-four million, two hundred seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 739 1478 2217 2956 4434 5912 8868 14041 17736 28082 42123 56164 59333 84246 112328 118666 168492 177999 237332 336984 355998 474664 711996 1127327 1423992 2254654 3381981 4509308 6763962 9018616 13527924 27055848 43847087 87694174 131541261 175388348 263082522 350776696 526165044 833094653 1052330088 1666189306 2499283959 3332378612 4998567918 6664757224 9997135836 19994271672