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19964172144 = 2437187331723
BaseRepresentation
bin10010100101111101…
…010001011101110000
31220112100010000200010
4102211331101131300
5311341312002034
613101005254520
71304505443340
oct224575213560
956470100603
1019964172144
118515289024
123a51b64440
131b62142117
14d7563ad20
157bca403e9
hex4a5f51770

19964172144 has 80 divisors (see below), whose sum is σ = 58975169792. Its totient is φ = 5700824064.

The previous prime is 19964172101. The next prime is 19964172161. The reversal of 19964172144 is 44127146991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 19964172093 and 19964172102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613467 + ... + 645189.

Almost surely, 219964172144 is an apocalyptic number.

19964172144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19964172144 is an abundant number, since it is smaller than the sum of its proper divisors (39010997648).

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

19964172144 is a wasteful number, since it uses less digits than its factorization.

19964172144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33614 (or 33608 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 19964172144 in words is "nineteen billion, nine hundred sixty-four million, one hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1873 3746 5619 7492 11238 13111 14984 22476 26222 29968 31723 39333 44952 52444 63446 78666 89904 95169 104888 126892 157332 190338 209776 222061 253784 314664 380676 444122 507568 629328 666183 761352 888244 1332366 1522704 1776488 2664732 3552976 5329464 10658928 59417179 118834358 178251537 237668716 356503074 415920253 475337432 713006148 831840506 950674864 1247760759 1426012296 1663681012 2495521518 2852024592 3327362024 4991043036 6654724048 9982086072 19964172144