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9942565680 = 2432561226379
BaseRepresentation
bin10010100001001111…
…11000001100110000
3221122220200200001100
421100213320030300
5130330244100210
64322331404400
7501246261645
oct112047701460
927586620040
109942565680
114242356833
121b158b3700
13c25b2b278
146a4691dcc
153d2d155c0
hex2509f8330

9942565680 has 120 divisors (see below), whose sum is σ = 33937984080. Its totient is φ = 2607874560.

The previous prime is 9942565679. The next prime is 9942565681. The reversal of 9942565680 is 865652499.

It is a happy number.

9942565680 is a `hidden beast` number, since 99 + 425 + 6 + 56 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9942565679) and next prime (9942565681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×99425656802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9942565681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69270 + ... + 157109.

It is an arithmetic number, because the mean of its divisors is an integer number (282816534).

Almost surely, 29942565680 is an apocalyptic number.

9942565680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9942565680 is an abundant number, since it is smaller than the sum of its proper divisors (23995418400).

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

9942565680 is a wasteful number, since it uses less digits than its factorization.

9942565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226459 (or 226450 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 9942565680 is about 99712.4148739765. The cubic root of 9942565680 is about 2150.3021518742.

The spelling of 9942565680 in words is "nine billion, nine hundred forty-two million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 226379 452758 679137 905516 1131895 1358274 1811032 2037411 2263790 2716548 3395685 3622064 4074822 4527580 5433096 6791370 8149644 9055160 10187055 10866192 13582740 13809119 16299288 18110320 20374110 27165480 27618238 32598576 40748220 41427357 54330960 55236476 69045595 81496440 82854714 110472952 124282071 138091190 162992880 165709428 207136785 220945904 248564142 276182380 331418856 414273570 497128284 552364760 621410355 662837712 828547140 994256568 1104729520 1242820710 1657094280 1988513136 2485641420 3314188560 4971282840 9942565680