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19868252375916 = 22337220631819871
BaseRepresentation
bin1001000010001111100000…
…01000000000101101101100
32121100101102200001202111000
410201013300020000231230
510101010140102012131
6110131203225200300
74120301546501400
oct441076010005554
977311380052430
1019868252375916
11637009555808a
12228a725630090
13b11750329b19
144c98b2a31100
15246c438b2ce6
hex1211f0200b6c

19868252375916 has 144 divisors (see below), whose sum is σ = 59949204295680. Its totient is φ = 5673888773280.

The previous prime is 19868252375893. The next prime is 19868252375947. The reversal of 19868252375916 is 61957325286891.

19868252375916 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 8 + 2 + 5 + 23 + 7 + 591 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10007461 + ... + 11827331.

It is an arithmetic number, because the mean of its divisors is an integer number (416313918720).

Almost surely, 219868252375916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19868252375916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29974602147840).

19868252375916 is an abundant number, since it is smaller than the sum of its proper divisors (40080951919764).

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

19868252375916 is a wasteful number, since it uses less digits than its factorization.

19868252375916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821961 (or 1821946 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 19868252375916 in words is "nineteen trillion, eight hundred sixty-eight billion, two hundred fifty-two million, three hundred seventy-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2063 2646 4126 5292 6189 8252 12378 14441 18567 24756 28882 37134 43323 55701 57764 74268 86646 101087 111402 129969 173292 202174 222804 259938 303261 389907 404348 519876 606522 779814 909783 1213044 1559628 1819566 1819871 2729349 3639132 3639742 5458698 5459613 7279484 10917396 10919226 12739097 16378839 21838452 25478194 32757678 38217291 49136517 50956388 65515356 76434582 89173679 98273034 114651873 152869164 178347358 196546068 229303746 267521037 343955619 356694716 458607492 535042074 687911238 802563111 1070084148 1375822476 1605126222 2407689333 3210252444 3754393873 4815378666 7508787746 9630757332 11263181619 15017575492 22526363238 26280757111 33789544857 45052726476 52561514222 67579089714 78842271333 101368634571 105123028444 135158179428 157684542666 183965299777 202737269142 236526813999 315369085332 367930599554 405474538284 473053627998 551895899331 709580441997 735861199108 946107255996 1103791798662 1419160883994 1655687697993 2207583597324 2838321767988 3311375395986 4967063093979 6622750791972 9934126187958 19868252375916