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872021600128 = 2774371318781
BaseRepresentation
bin11001011000010001000…
…10011010011110000000
310002100211200111002220001
430230020202122132000
5103241400012201003
61504333505125344
7120000336205420
oct14541042323600
93070750432801
10872021600128
11306905506978
12121006329854
1364301191c03
14302c565a480
1517a3b13061d
hexcb0889a780

872021600128 has 128 divisors (see below), whose sum is σ = 2060198807040. Its totient is φ = 359889868800.

The previous prime is 872021600113. The next prime is 872021600141. The reversal of 872021600128 is 821006120278.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2576098 + ... + 2894878.

It is an arithmetic number, because the mean of its divisors is an integer number (16095303180).

Almost surely, 2872021600128 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 872021600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030099403520).

872021600128 is an abundant number, since it is smaller than the sum of its proper divisors (1188177206912).

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

872021600128 is a wasteful number, since it uses less digits than its factorization.

872021600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318916 (or 318904 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 872021600128 in words is "eight hundred seventy-two billion, twenty-one million, six hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 71 86 112 128 142 172 224 284 301 344 448 497 568 602 688 896 994 1136 1204 1376 1988 2272 2408 2752 3053 3976 4544 4816 5504 6106 7952 9088 9632 12212 15904 19264 21371 24424 31808 38528 42742 48848 63616 85484 97696 170968 195392 318781 341936 390784 637562 683872 1275124 1367744 2231467 2550248 2735488 4462934 5100496 8925868 10200992 13707583 17851736 20401984 22633451 27415166 35703472 40803968 45266902 54830332 71406944 90533804 95953081 109660664 142813888 158434157 181067608 191906162 219321328 285627776 316868314 362135216 383812324 438642656 633736628 724270432 767624648 877285312 973238393 1267473256 1448540864 1535249296 1754570624 1946476786 2534946512 2897081728 3070498592 3892953572 5069893024 6140997184 6812668751 7785907144 10139786048 12281994368 13625337502 15571814288 20279572096 27250675004 31143628576 54501350008 62287257152 109002700016 124574514304 218005400032 436010800064 872021600128