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327939797088 = 25327965322073
BaseRepresentation
bin1001100010110101011…
…11000011000001100000
31011100110200120210000200
410301122233003001200
520333110042001323
6410353051545200
732456440165611
oct4613257030140
91140420523020
10327939797088
111170955143a2
125368245b200
1324c0342b217
1411c2daddc08
1587e54d2443
hex4c5abc3060

327939797088 has 144 divisors (see below), whose sum is σ = 945872665920. Its totient is φ = 107759388672.

The previous prime is 327939797041. The next prime is 327939797093. The reversal of 327939797088 is 880797939723.

327939797088 is a `hidden beast` number, since 3 + 2 + 79 + 397 + 97 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3279397970882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14846020 + ... + 14868092.

It is an arithmetic number, because the mean of its divisors is an integer number (6568560180).

Almost surely, 2327939797088 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 327939797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472936332960).

327939797088 is an abundant number, since it is smaller than the sum of its proper divisors (617932868832).

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

327939797088 is a wasteful number, since it uses less digits than its factorization.

327939797088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22821 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 327939797088 in words is "three hundred twenty-seven billion, nine hundred thirty-nine million, seven hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 653 711 948 1264 1306 1422 1896 1959 2528 2612 2844 3792 3918 5224 5688 5877 7584 7836 10448 11376 11754 15672 20896 22073 22752 23508 31344 44146 47016 51587 62688 66219 88292 94032 103174 132438 154761 176584 188064 198657 206348 264876 309522 353168 397314 412696 464283 529752 619044 706336 794628 825392 928566 1059504 1238088 1589256 1650784 1743767 1857132 2119008 2476176 3178512 3487534 3714264 4952352 5231301 6357024 6975068 7428528 10462602 13950136 14413669 14857056 15693903 20925204 27900272 28827338 31387806 41850408 43241007 55800544 57654676 62775612 83700816 86482014 115309352 125551224 129723021 167401632 172964028 230618704 251102448 259446042 345928056 461237408 502204896 518892084 691856112 1037784168 1138679851 1383712224 2075568336 2277359702 3416039553 4151136672 4554719404 6832079106 9109438808 10248118659 13664158212 18218877616 20496237318 27328316424 36437755232 40992474636 54656632848 81984949272 109313265696 163969898544 327939797088