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19111630032 = 24321116374021
BaseRepresentation
bin10001110011001001…
…000101010011010000
31211022220220101202100
4101303021011103100
5303120034130112
612440232320400
71244414113665
oct216311052320
954286811670
1019111630032
118118020570
123854543100
131a57623a31
14cd4315a6c
1576cc8a2dc
hex4732454d0

19111630032 has 120 divisors (see below), whose sum is σ = 58707144288. Its totient is φ = 5755795200.

The previous prime is 19111630019. The next prime is 19111630123. The reversal of 19111630032 is 23003611191.

19111630032 is a `hidden beast` number, since 19 + 1 + 11 + 630 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19111629978 and 19111630005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221182 + ... + 295202.

Almost surely, 219111630032 is an apocalyptic number.

19111630032 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 19111630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29353572144).

19111630032 is an abundant number, since it is smaller than the sum of its proper divisors (39595514256).

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

19111630032 is a wasteful number, since it uses less digits than its factorization.

19111630032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74209 (or 74200 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 19111630032 in words is "nineteen billion, one hundred eleven million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 163 176 198 264 326 396 489 528 652 792 978 1304 1467 1584 1793 1956 2608 2934 3586 3912 5379 5868 7172 7824 10758 11736 14344 16137 21516 23472 28688 32274 43032 64548 74021 86064 129096 148042 222063 258192 296084 444126 592168 666189 814231 888252 1184336 1332378 1628462 1776504 2442693 2664756 3256924 3553008 4885386 5329512 6513848 7328079 9770772 10659024 12065423 13027696 14656158 19541544 24130846 29312316 36196269 39083088 48261692 58624632 72392538 96523384 108588807 117249264 132719653 144785076 193046768 217177614 265439306 289570152 398158959 434355228 530878612 579140304 796317918 868710456 1061757224 1194476877 1592635836 1737420912 2123514448 2388953754 3185271672 4777907508 6370543344 9555815016 19111630032