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71148137401367 = 13291999450720947
BaseRepresentation
bin10000001011010101110111…
…011101001100110000010111
3100022220200210000200220011122
4100023111313131030300113
533311142341133320432
6411153000400354155
720662166112356435
oct2013256735146027
9308820700626148
1071148137401367
112074083480a254
127b90b9b31595b
1330913186b4c10
14137d83412dd55
15835ad656a612
hex40b57774cc17

71148137401367 has 32 divisors (see below), whose sum is σ = 79324210560000. Its totient is φ = 63361733113728.

The previous prime is 71148137401351. The next prime is 71148137401379. The reversal of 71148137401367 is 76310473184117.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71148137401367 - 24 = 71148137401351 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71148137400367) 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, 3396568388 + ... + 3396589334.

It is an arithmetic number, because the mean of its divisors is an integer number (2478881580000).

Almost surely, 271148137401367 is an apocalyptic number.

71148137401367 is a deficient number, since it is larger than the sum of its proper divisors (8176073158633).

71148137401367 is a wasteful number, since it uses less digits than its factorization.

71148137401367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27495.

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 71148137401367 in words is "seventy-one trillion, one hundred forty-eight billion, one hundred thirty-seven million, four hundred one thousand, three hundred sixty-seven".

Divisors: 1 13 29 377 1999 4507 20947 25987 57971 58591 130703 272311 607463 753623 1699139 7897019 9009493 41873053 94408129 117123409 261275297 544349689 1214318537 1227305677 2737835741 3396578861 15786140981 35591864633 188721849871 2453384048323 5472933646259 71148137401367