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71240311692 = 2232111396911873
BaseRepresentation
bin100001001011001000…
…0001110001110001100
320210212212012210122200
41002112100032032030
52131400004433232
652421035041500
75101254441504
oct1022620161614
9223785183580
1071240311692
1128238331660
12119822a0290
1369443b44b4
14363b63aa04
151cbe46077c
hex109640e38c

71240311692 has 144 divisors (see below), whose sum is σ = 198256007040. Its totient is φ = 21390220800.

The previous prime is 71240311687. The next prime is 71240311771. The reversal of 71240311692 is 29611304217.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38034468 + ... + 38036340.

Almost surely, 271240311692 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 71240311692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99128003520).

71240311692 is an abundant number, since it is smaller than the sum of its proper divisors (127015695348).

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

71240311692 is a wasteful number, since it uses less digits than its factorization.

71240311692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 71240311692 in words is "seventy-one billion, two hundred forty million, three hundred eleven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 691 834 1251 1382 1529 1668 1873 2073 2502 2764 3058 3746 4146 4587 5004 5619 6116 6219 7492 7601 8292 9174 11238 12438 13761 15202 16857 18348 20603 22476 22803 24876 27522 30404 33714 41206 45606 55044 61809 67428 68409 82412 91212 96049 123618 136818 185427 192098 247236 260347 273636 288147 370854 384196 520694 576294 741708 781041 864441 1041388 1056539 1152588 1294243 1562082 1728882 2113078 2343123 2588486 2863817 3124164 3169617 3457764 3882729 4226156 4686246 5176972 5727634 6339234 7765458 8591451 9372492 9508851 11455268 11648187 12678468 14236673 15530916 17182902 19017702 23296374 25774353 28473346 34365804 38035404 42710019 46592748 51548706 56946692 85420038 103097412 128130057 170840076 179899777 256260114 359799554 512520228 539699331 719599108 1079398662 1619097993 1978897547 2158797324 3238195986 3957795094 5936692641 6476391972 7915590188 11873385282 17810077923 23746770564 35620155846 71240311692