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71013233088 = 263375870803
BaseRepresentation
bin100001000100010110…
…1111111000111000000
320210022000221000101000
41002020231333013000
52130413341424323
652342324012000
75062526343660
oct1021055770700
9223260830330
1071013233088
1128131134096
121191a231000
136909338b65
14361940a1a0
151ca9557e43
hex1088b7f1c0

71013233088 has 112 divisors (see below), whose sum is σ = 238589474560. Its totient is φ = 20289491712.

The previous prime is 71013233087. The next prime is 71013233099. The reversal of 71013233088 is 88033231017.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×710132330883 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71013233087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923306 + ... + 2947497.

Almost surely, 271013233088 is an apocalyptic number.

It is an amenable number.

71013233088 is an abundant number, since it is smaller than the sum of its proper divisors (167576241472).

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

71013233088 is a wasteful number, since it uses less digits than its factorization.

71013233088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870831 (or 5870815 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71013233088 in words is "seventy-one billion, thirteen million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 5870803 11741606 17612409 23483212 35224818 41095621 46966424 52837227 70449636 82191242 93932848 105674454 123286863 140899272 158511681 164382484 187865696 211348908 246573726 281798544 317023362 328764968 369860589 375731392 422697816 493147452 563597088 634046724 657529936 739721178 845395632 986294904 1109581767 1127194176 1268093448 1315059872 1479442356 1690791264 1972589808 2219163534 2536186896 2630119744 2958884712 3381582528 3945179616 4438327068 5072373792 5917769424 7890359232 8876654136 10144747584 11835538848 17753308272 23671077696 35506616544 71013233088