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86821996128 = 2537246140037
BaseRepresentation
bin101000011011011111…
…1101000011001100000
322022002202220101101020
41100312333220121200
52410302412334003
6103515132405440
76162346535100
oct1206677503140
9268082811336
1086821996128
113390383180a
12149b0616880
1382585b560a
1442b8bdb200
1523d2375d53
hex1436fe8660

86821996128 has 144 divisors (see below), whose sum is σ = 265698894384. Its totient is φ = 24751856640.

The previous prime is 86821996087. The next prime is 86821996139. The reversal of 86821996128 is 82169912868.

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, 2148526 + ... + 2188562.

It is an arithmetic number, because the mean of its divisors is an integer number (1845131211).

Almost surely, 286821996128 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 86821996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132849447192).

86821996128 is an abundant number, since it is smaller than the sum of its proper divisors (178876898256).

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

86821996128 is a wasteful number, since it uses less digits than its factorization.

86821996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40525 (or 40510 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 60.

The spelling of 86821996128 in words is "eighty-six billion, eight hundred twenty-one million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 461 588 672 784 922 1176 1383 1568 1844 2352 2766 3227 3688 4704 5532 6454 7376 9681 11064 12908 14752 19362 22128 22589 25816 38724 40037 44256 45178 51632 67767 77448 80074 90356 103264 120111 135534 154896 160148 180712 240222 271068 280259 309792 320296 361424 480444 542136 560518 640592 722848 840777 960888 1084272 1121036 1281184 1681554 1921776 1961813 2168544 2242072 3363108 3843552 3923626 4484144 5885439 6726216 7847252 8968288 11770878 13452432 15694504 18457057 23541756 26904864 31389008 36914114 47083512 55371171 62778016 73828228 94167024 110742342 129199399 147656456 188334048 221484684 258398798 295312912 387598197 442969368 516797596 590625824 775196394 885938736 904395793 1033595192 1550392788 1771877472 1808791586 2067190384 2713187379 3100785576 3617583172 4134380768 5426374758 6201571152 7235166344 10852749516 12403142304 14470332688 21705499032 28940665376 43410998064 86821996128