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9985026728736 = 253311556743899
BaseRepresentation
bin1001000101001101000111…
…1110001010001100100000
31022100120002200101021002000
42101103101332022030200
52302043313320304421
633123020303524000
72050252161550233
oct221232176121440
938316080337060
109985026728736
1131aa698308774
1211531b92b9600
1357577900a4b7
142673c66a541a
15124b0065d226
hex914d1f8a320

9985026728736 has 48 divisors (see below), whose sum is σ = 29122994628000. Its totient is φ = 3328342242624.

The previous prime is 9985026728717. The next prime is 9985026728737. The reversal of 9985026728736 is 6378276205899.

9985026728736 is a `hidden beast` number, since 9 + 9 + 8 + 50 + 267 + 287 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9985026728737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5778371086 + ... + 5778372813.

It is an arithmetic number, because the mean of its divisors is an integer number (606729054750).

Almost surely, 29985026728736 is an apocalyptic number.

9985026728736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9985026728736 is an abundant number, since it is smaller than the sum of its proper divisors (19137967899264).

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

9985026728736 is a wasteful number, since it uses less digits than its factorization.

9985026728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556743918 (or 11556743904 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 9985026728736 in words is "nine trillion, nine hundred eighty-five billion, twenty-six million, seven hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11556743899 23113487798 34670231697 46226975596 69340463394 92453951192 104010695091 138680926788 184907902384 208021390182 277361853576 312032085273 369815804768 416042780364 554723707152 624064170546 832085560728 1109447414304 1248128341092 1664171121456 2496256682184 3328342242912 4992513364368 9985026728736