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714145664376 = 2332411911266593
BaseRepresentation
bin10100110010001100110…
…01100000110101111000
32112021100001001121021100
422121012121200311320
543200032242230001
61304023552011400
7102411123663354
oct12310631406570
92467301047240
10714145664376
1125595a678711
12b64a5b30b60
1352460cba451
14267c9c98464
151389adb0586
hexa646660d78

714145664376 has 96 divisors (see below), whose sum is σ = 1991693733120. Its totient is φ = 231026380800.

The previous prime is 714145664311. The next prime is 714145664387. The reversal of 714145664376 is 673466541417.

714145664376 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 4 + 566 + 4 + 3 + 76 = 666.

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, 69465 + ... + 1197128.

It is an arithmetic number, because the mean of its divisors is an integer number (20746809720).

Almost surely, 2714145664376 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 714145664376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995846866560).

714145664376 is an abundant number, since it is smaller than the sum of its proper divisors (1277548068744).

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

714145664376 is a wasteful number, since it uses less digits than its factorization.

714145664376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266837 (or 1266830 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 714145664376 in words is "seven hundred fourteen billion, one hundred forty-five million, six hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 191 246 328 369 382 492 573 738 764 984 1146 1476 1528 1719 2292 2952 3438 4584 6876 7831 13752 15662 23493 31324 46986 62648 70479 93972 140958 187944 281916 563832 1266593 2533186 3799779 5066372 7599558 10132744 11399337 15199116 22798674 30398232 45597348 51930313 91194696 103860626 155790939 207721252 241919263 311581878 415442504 467372817 483838526 623163756 725757789 934745634 967677052 1246327512 1451515578 1869491268 1935354104 2177273367 2903031156 3738982536 4354546734 5806062312 8709093468 9918689783 17418186936 19837379566 29756069349 39674759132 59512138698 79349518264 89268208047 119024277396 178536416094 238048554792 357072832188 714145664376