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10041848352 = 2532311124759
BaseRepresentation
bin10010101101000101…
…00111001000100000
3221220211111202021100
421112202213020200
5131031203121402
64340235354400
7503563205544
oct112642471040
927824452240
1010041848352
1142933a8328
121b42bb2a00
13c40580403
146b3937a24
153db8c771c
hex2568a7220

10041848352 has 72 divisors (see below), whose sum is σ = 29477710080. Its totient is φ = 3239303040.

The previous prime is 10041848317. The next prime is 10041848381. The reversal of 10041848352 is 25384814001.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553452 + ... + 571307.

It is an arithmetic number, because the mean of its divisors is an integer number (409412640).

Almost surely, 210041848352 is an apocalyptic number.

10041848352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041848352 is an abundant number, since it is smaller than the sum of its proper divisors (19435861728).

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

10041848352 is a wasteful number, since it uses less digits than its factorization.

10041848352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124806 (or 1124795 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10041848352 in words is "ten billion, forty-one million, eight hundred forty-eight thousand, three hundred fifty-two".

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 1124759 2249518 3374277 4499036 6748554 8998072 10122831 13497108 17996144 20245662 26994216 34867529 35992288 40491324 53988432 69735058 80982648 104602587 107976864 139470116 161965296 209205174 278940232 313807761 323930592 418410348 557880464 627615522 836820696 1115760928 1255231044 1673641392 2510462088 3347282784 5020924176 10041848352