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112653564320 = 2551171901517
BaseRepresentation
bin110100011101010101…
…1001111100110100000
3101202210000120000022002
41220322223033212200
53321203303024240
6123430300503132
711065442332403
oct1507253174640
9352700500262
10112653564320
114385a000280
12199bb54aaa8
13a8141a56cb
1456497a9d3a
152de5058d15
hex1a3aacf9a0

112653564320 has 96 divisors (see below), whose sum is σ = 294428566656. Its totient is φ = 40387916800.

The previous prime is 112653564313. The next prime is 112653564329. The reversal of 112653564320 is 23465356211.

It is a super-3 number, since 3×1126535643203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112653564329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325799 + ... + 575718.

It is an arithmetic number, because the mean of its divisors is an integer number (3066964236).

Almost surely, 2112653564320 is an apocalyptic number.

112653564320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112653564320 is an abundant number, since it is smaller than the sum of its proper divisors (181775002336).

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

112653564320 is a wasteful number, since it uses less digits than its factorization.

112653564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901614 (or 901606 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 112653564320 in words is "one hundred twelve billion, six hundred fifty-three million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 124960 901517 1803034 3606068 4507585 7212136 9015170 9916687 14424272 18030340 19833374 28848544 36060680 39666748 49583435 64007707 72121360 79333496 99166870 128015414 144242720 158666992 198333740 256030828 317333984 320038535 396667480 512061656 640077070 704084777 793334960 1024123312 1280154140 1408169554 1586669920 2048246624 2560308280 2816339108 3520423885 5120616560 5632678216 7040847770 10241233120 11265356432 14081695540 22530712864 28163391080 56326782160 112653564320