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96960680640 = 263453740767
BaseRepresentation
bin101101001001101001…
…1101001001011000000
3100021021100121220220000
41122103103221023000
53042033413240030
6112313151520000
710001530121055
oct1322323511300
9307240556800
1096960680640
113813685a51a
121695bb29000
1391b2c3c415
14499b54102c
1527c74ca860
hex16934e92c0

96960680640 has 140 divisors (see below), whose sum is σ = 344906291136. Its totient is φ = 25856174592.

The previous prime is 96960680629. The next prime is 96960680657. The reversal of 96960680640 is 4608606969.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1844464 + ... + 1896303.

Almost surely, 296960680640 is an apocalyptic number.

96960680640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96960680640 is an abundant number, since it is smaller than the sum of its proper divisors (247945610496).

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

96960680640 is a wasteful number, since it uses less digits than its factorization.

96960680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740796 (or 3740777 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 96960680640 in words is "ninety-six billion, nine hundred sixty million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 3740767 7481534 11222301 14963068 18703835 22444602 29926136 33666903 37407670 44889204 56111505 59852272 67333806 74815340 89778408 101000709 112223010 119704544 134667612 149630680 168334515 179556816 202001418 224446020 239409088 269335224 299261360 303002127 336669030 359113632 404002836 448892040 505003545 538670448 598522720 606004254 673338060 718227264 808005672 897784080 1010007090 1077340896 1197045440 1212008508 1346676120 1515010635 1616011344 1795568160 2020014180 2154681792 2424017016 2693352240 3030021270 3232022688 3591136320 4040028360 4848034032 5386704480 6060042540 6464045376 8080056720 9696068064 10773408960 12120085080 16160113440 19392136128 24240170160 32320226880 48480340320 96960680640