Search a number
-
+
19679847642 = 2347137318287
BaseRepresentation
bin10010010101000000…
…101010010011011010
31212210112002211210000
4102111000222103122
5310301020111032
613012451233430
71264453642050
oct222500522332
955715084700
1019679847642
1183898408a4
1239928a8876
131b18272280
14d499881d0
157a2acae7c
hex49502a4da

19679847642 has 160 divisors (see below), whose sum is σ = 55020252672. Its totient is φ = 5118909696.

The previous prime is 19679847641. The next prime is 19679847647. The reversal of 19679847642 is 24674897691.

19679847642 is a `hidden beast` number, since 1 + 96 + 79 + 8 + 476 + 4 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19679847642.

It is not an unprimeable number, because it can be changed into a prime (19679847641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1067023 + ... + 1085309.

Almost surely, 219679847642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19679847642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27510126336).

19679847642 is an abundant number, since it is smaller than the sum of its proper divisors (35340405030).

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

19679847642 is a wasteful number, since it uses less digits than its factorization.

19679847642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18394 (or 18385 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 19679847642 in words is "nineteen billion, six hundred seventy-nine million, eight hundred forty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 73 78 81 91 117 126 146 162 182 189 219 234 273 351 378 438 511 546 567 657 702 819 949 1022 1053 1134 1314 1533 1638 1898 1971 2106 2457 2847 3066 3942 4599 4914 5694 5913 6643 7371 8541 9198 11826 13286 13797 14742 17082 18287 19929 25623 27594 36574 39858 41391 51246 54861 59787 76869 82782 109722 119574 128009 153738 164583 179361 237731 256018 329166 358722 384027 475462 493749 538083 713193 768054 987498 1076166 1152081 1334951 1426386 1481247 1664117 2139579 2304162 2669902 2962494 3328234 3456243 4004853 4279158 4992351 6418737 6912486 8009706 9344657 9984702 10368729 12014559 12837474 14977053 17354363 18689314 19256211 20737458 24029118 28033971 29954106 34708726 36043677 38512422 44931159 52063089 56067942 72087354 84101913 89862318 104126178 108131031 121480541 134793477 156189267 168203826 216262062 242961082 252305739 269586954 312378534 364441623 468567801 504611478 728883246 756917217 937135602 1093324869 1405703403 1513834434 2186649738 2811406806 3279974607 6559949214 9839923821 19679847642