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19864714968 = 2333746128499
BaseRepresentation
bin10010100000000001…
…110111111011011000
31220021101222002002000
4102200001313323120
5311140331334333
613043053441000
71302160201620
oct224001677330
956241862060
1019864714968
11847412840a
123a247a0160
131b4765b717
14d6634b880
157b3e46713
hex4a0077ed8

19864714968 has 128 divisors (see below), whose sum is σ = 63201600000. Its totient is φ = 5663122560.

The previous prime is 19864714943. The next prime is 19864714973. The reversal of 19864714968 is 86941746891.

19864714968 is a `hidden beast` number, since 19 + 8 + 64 + 71 + 496 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682783 + ... + 711281.

It is an arithmetic number, because the mean of its divisors is an integer number (493762500).

Almost surely, 219864714968 is an apocalyptic number.

19864714968 is a gapful number since it is divisible by the number (18) 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 19864714968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600800000).

19864714968 is an abundant number, since it is smaller than the sum of its proper divisors (43336885032).

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

19864714968 is a wasteful number, since it uses less digits than its factorization.

19864714968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28982 (or 28972 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 19864714968 in words is "nineteen billion, eight hundred sixty-four million, seven hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 461 504 756 922 1383 1512 1844 2766 3227 3688 4149 5532 6454 8298 9681 11064 12447 12908 16596 19362 24894 25816 28499 29043 33192 38724 49788 56998 58086 77448 85497 87129 99576 113996 116172 170994 174258 199493 227992 232344 256491 341988 348516 398986 512982 598479 683976 697032 769473 797972 1025964 1196958 1538946 1595944 1795437 2051928 2393916 3077892 3590874 4787832 5386311 6155784 7181748 10772622 13138039 14363496 21545244 26276078 39414117 43090488 52552156 78828234 91966273 105104312 118242351 157656468 183932546 236484702 275898819 315312936 354727053 367865092 472969404 551797638 709454106 735730184 827696457 945938808 1103595276 1418908212 1655392914 2207190552 2483089371 2837816424 3310785828 4966178742 6621571656 9932357484 19864714968