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81590099328 = 273231273699
BaseRepresentation
bin100101111111100100…
…1100001110110000000
321210121011011111012200
41023333021201312000
52314044031134303
6101252034553200
75615610254463
oct1137711416600
9253534144180
1081590099328
1131669536261
1213990438800
1379036b22aa
143d400132da
1521c7db43a3
hex12ff261d80

81590099328 has 144 divisors (see below), whose sum is σ = 242605291500. Its totient is φ = 26319029760.

The previous prime is 81590099309. The next prime is 81590099341. The reversal of 81590099328 is 82399009518.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1070223 + ... + 1143921.

Almost surely, 281590099328 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 81590099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121302645750).

81590099328 is an abundant number, since it is smaller than the sum of its proper divisors (161015192172).

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

81590099328 is a wasteful number, since it uses less digits than its factorization.

81590099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73781 (or 73735 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 81590099328 in words is "eighty-one billion, five hundred ninety million, ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 961 992 1116 1152 1488 1922 1984 2232 2883 2976 3844 3968 4464 5766 5952 7688 8649 8928 11532 11904 15376 17298 17856 23064 30752 34596 35712 46128 61504 69192 73699 92256 123008 138384 147398 184512 221097 276768 294796 369024 442194 553536 589592 663291 884388 1107072 1179184 1326582 1768776 2284669 2358368 2653164 3537552 4569338 4716736 5306328 6854007 7075104 9138676 9433472 10612656 13708014 14150208 18277352 20562021 21225312 27416028 28300416 36554704 41124042 42450624 54832056 70824739 73109408 82248084 84901248 109664112 141649478 146218816 164496168 212474217 219328224 283298956 292437632 328992336 424948434 438656448 566597912 637422651 657984672 849896868 877312896 1133195824 1274845302 1315969344 1699793736 2266391648 2549690604 2631938688 3399587472 4532783296 5099381208 6799174944 9065566592 10198762416 13598349888 20397524832 27196699776 40795049664 81590099328