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100881672640 = 2657231958107
BaseRepresentation
bin101110111110100000…
…1000010100111000000
3100122101121122221201221
41131331001002213000
53123101202011030
6114202220204424
710200641032450
oct1357501024700
9318347587657
10100881672640
113986908a881
1217675099714
13968938a128
144c501a9d60
152956845e7a
hex177d0429c0

100881672640 has 112 divisors (see below), whose sum is σ = 286479032832. Its totient is φ = 33084158976.

The previous prime is 100881672613. The next prime is 100881672677. The reversal of 100881672640 is 46276188001.

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

It is a super-2 number, since 2×1008816726402 (a number of 23 digits) contains 22 as substring.

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, 927534 + ... + 1030573.

Almost surely, 2100881672640 is an apocalyptic number.

100881672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100881672640 is an abundant number, since it is smaller than the sum of its proper divisors (185597360192).

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

100881672640 is a wasteful number, since it uses less digits than its factorization.

100881672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958154 (or 1958144 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 100881672640 in words is "one hundred billion, eight hundred eighty-one million, six hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 51520 1958107 3916214 7832428 9790535 13706749 15664856 19581070 27413498 31329712 39162140 45036461 54826996 62659424 68533745 78324280 90072922 109653992 125318848 137067490 156648560 180145844 219307984 225182305 274134980 313297120 315255227 360291688 438615968 450364610 548269960 626594240 630510454 720583376 877231936 900729220 1096539920 1261020908 1441166752 1576276135 1801458440 2193079840 2522041816 2882333504 3152552270 3602916880 4386159680 5044083632 6305104540 7205833760 10088167264 12610209080 14411667520 20176334528 25220418160 50440836320 100881672640