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71385042027476 = 224135312241100733
BaseRepresentation
bin10000001110110010100000…
…000100101000001111010100
3100100202100021022112211110002
4100032302200010220033110
533324033031224334401
6411453500252550432
721015253613434532
oct2016624004501724
9310670238484402
1071385042027476
1120822254247251
12800aa96182418
1330aa7716bb158
14138b0a966b152
1583bd4e893a6b
hex40eca01283d4

71385042027476 has 48 divisors (see below), whose sum is σ = 128345027419728. Its totient is φ = 34720144588800.

The previous prime is 71385042027463. The next prime is 71385042027493. The reversal of 71385042027476 is 67472024058317.

It can be written as a sum of positive squares in 8 ways, for example, as 13990023624976 + 57395018402500 = 3740324^2 + 7575950^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708605606 + ... + 708706338.

It is an arithmetic number, because the mean of its divisors is an integer number (2673854737911).

Almost surely, 271385042027476 is an apocalyptic number.

It is an amenable number.

71385042027476 is a deficient number, since it is larger than the sum of its proper divisors (56959985392252).

71385042027476 is a wasteful number, since it uses less digits than its factorization.

71385042027476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113372 (or 113370 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 71385042027476 in words is "seventy-one trillion, three hundred eighty-five billion, forty-two million, twenty-seven thousand, four hundred seventy-six".

Divisors: 1 2 4 41 82 164 353 706 1412 12241 14473 24482 28946 48964 57892 100733 201466 402932 501881 1003762 2007524 4130053 4321073 8260106 8642146 16520212 17284292 35558749 71117498 142234996 177163993 354327986 708655972 1233072653 1457908709 2466145306 2915817418 4932290612 5831634836 50555978773 101111957546 202223915092 435274646509 870549293018 1741098586036 17846260506869 35692521013738 71385042027476