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232780688640 = 2832520206657
BaseRepresentation
bin1101100011001011001…
…1110110110100000000
3211020211212221012120200
43120302303312310000
512303213324014030
6254534334005200
722550344130553
oct3306263666400
9736755835520
10232780688640
118a7a36a2815
1239145946800
1318c4980c666
14b3a396469a
1560c6270d60
hex3632cf6d00

232780688640 has 108 divisors (see below), whose sum is σ = 805396974564. Its totient is φ = 62074847232.

The previous prime is 232780688633. The next prime is 232780688653. The reversal of 232780688640 is 46886087232.

It can be written as a sum of positive squares in 2 ways, for example, as 145325638656 + 87455049984 = 381216^2 + 295728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10091809 + ... + 10114848.

Almost surely, 2232780688640 is an apocalyptic number.

232780688640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232780688640 is an abundant number, since it is smaller than the sum of its proper divisors (572616285924).

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

232780688640 is a wasteful number, since it uses less digits than its factorization.

232780688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20206684 (or 20206667 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 232780688640 in words is "two hundred thirty-two billion, seven hundred eighty million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 20206657 40413314 60619971 80826628 101033285 121239942 161653256 181859913 202066570 242479884 303099855 323306512 363719826 404133140 484959768 606199710 646613024 727439652 808266280 909299565 969919536 1212399420 1293226048 1454879304 1616532560 1818599130 1939839072 2424798840 2586452096 2909758608 3233065120 3637198260 3879678144 4849597680 5172904192 5819517216 6466130240 7274396520 7759356288 9699195360 11639034432 12932260480 14548793040 15518712576 19398390720 23278068864 25864520960 29097586080 38796781440 46556137728 58195172160 77593562880 116390344320 232780688640