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168089272760 = 235174119333119
BaseRepresentation
bin1001110010001011100…
…1101100000110111000
3121001212102121210002202
42130202321230012320
510223221323212020
6205115200245332
715100260146543
oct2344271540670
9531772553082
10168089272760
1165317015552
12286b0910848
1312b0a138956
1481c7db985a
15458bc1de75
hex2722e6c1b8

168089272760 has 128 divisors (see below), whose sum is σ = 410558803200. Its totient is φ = 61685514240.

The previous prime is 168089272733. The next prime is 168089272873. The reversal of 168089272760 is 67272980861.

It is a junction number, because it is equal to n+sod(n) for n = 168089272696 and 168089272705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53890481 + ... + 53893599.

It is an arithmetic number, because the mean of its divisors is an integer number (3207490650).

Almost surely, 2168089272760 is an apocalyptic number.

168089272760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168089272760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205279401600).

168089272760 is an abundant number, since it is smaller than the sum of its proper divisors (242469530440).

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

168089272760 is a wasteful number, since it uses less digits than its factorization.

168089272760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 168089272760 in words is "one hundred sixty-eight billion, eighty-nine million, two hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 1933 2788 3119 3485 3866 5576 6238 6970 7732 9665 12476 13940 15464 15595 19330 24952 27880 31190 32861 38660 53023 62380 65722 77320 79253 106046 124760 127879 131444 158506 164305 212092 255758 262888 265115 317012 328610 396265 424184 511516 530230 634024 639395 657220 792530 1023032 1060460 1278790 1314440 1347301 1585060 2120920 2173943 2557580 2694602 3170120 4347886 5115160 5389204 6029027 6736505 8695772 10778408 10869715 12058054 13473010 17391544 21739430 24116108 26946020 30145135 43478860 48232216 53892040 60290270 86957720 102493459 120580540 204986918 241161080 247190107 409973836 494380214 512467295 819947672 988760428 1024934590 1235950535 1977520856 2049869180 2471901070 4099738360 4202231819 4943802140 8404463638 9887604280 16808927276 21011159095 33617854552 42022318190 84044636380 168089272760