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193142816412 = 223713405143661
BaseRepresentation
bin1011001111100000110…
…1010111111010011100
3200110112110021122222220
42303320031113322130
511131024030111122
6224421212505340
716645154565060
oct2637015277234
9613473248886
10193142816412
1174a030a2727
123152317b250
13152a079b4b0
1494c34ddaa0
15505646b25c
hex2cf8357e9c

193142816412 has 96 divisors (see below), whose sum is σ = 554816177664. Its totient is φ = 50925024000.

The previous prime is 193142816357. The next prime is 193142816417. The reversal of 193142816412 is 214618241391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193142816417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4401862 + ... + 4445522.

It is an arithmetic number, because the mean of its divisors is an integer number (5779335184).

Almost surely, 2193142816412 is an apocalyptic number.

193142816412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193142816412 is an abundant number, since it is smaller than the sum of its proper divisors (361673361252).

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

193142816412 is a wasteful number, since it uses less digits than its factorization.

193142816412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47739 (or 47737 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 193142816412 in words is "one hundred ninety-three billion, one hundred forty-two million, eight hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 4051 8102 12153 16204 24306 28357 43661 48612 52663 56714 85071 87322 105326 113428 130983 157989 170142 174644 210652 261966 305627 315978 340284 368641 523932 567593 611254 631956 737282 916881 1105923 1135186 1222508 1474564 1702779 1833762 2211846 2270372 3405558 3667524 3973151 4423692 6811116 7946302 11919453 15892604 23838906 47677812 176870711 353741422 530612133 707482844 1061224266 1238094977 2122448532 2299319243 2476189954 3714284931 4598638486 4952379908 6897957729 7428569862 9197276972 13795915458 14857139724 16095234701 27591830916 32190469402 48285704103 64380938804 96571408206 193142816412