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10398718368 = 2532311164731
BaseRepresentation
bin10011010111100111…
…11101100110100000
3222211201000121220100
421223303331212200
5132244032441433
64435504342400
7515455435113
oct115363754640
928751017810
1010398718368
114456895025
122022614a00
13c994a05bc
147090b257a
1540cdbbb13
hex26bcfd9a0

10398718368 has 72 divisors (see below), whose sum is σ = 30525296256. Its totient is φ = 3354422400.

The previous prime is 10398718367. The next prime is 10398718387. The reversal of 10398718368 is 86381789301.

10398718368 is a `hidden beast` number, since 10 + 398 + 7 + 183 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10398718361) 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 11 ways as a sum of consecutive naturals, for example, 573438 + ... + 591293.

It is an arithmetic number, because the mean of its divisors is an integer number (423962448).

Almost surely, 210398718368 is an apocalyptic number.

10398718368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10398718368 is an abundant number, since it is smaller than the sum of its proper divisors (20126577888).

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

10398718368 is a wasteful number, since it uses less digits than its factorization.

10398718368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164778 (or 1164767 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10398718368 in words is "ten billion, three hundred ninety-eight million, seven hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1164731 2329462 3494193 4658924 6988386 9317848 10482579 13976772 18635696 20965158 27953544 36106661 37271392 41930316 55907088 72213322 83860632 108319983 111814176 144426644 167721264 216639966 288853288 324959949 335442528 433279932 577706576 649919898 866559864 1155413152 1299839796 1733119728 2599679592 3466239456 5199359184 10398718368