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10044973152 = 2532311125109
BaseRepresentation
bin10010101101011101…
…00010000001100000
3221221001101111200200
421112232202001200
5131033003120102
64340430345200
7503631602004
oct112656420140
927831344620
1010044973152
114295142005
121b4405b200
13c411057c6
146b410c704
153dbce351c
hex256ba2060

10044973152 has 72 divisors (see below), whose sum is σ = 29486882880. Its totient is φ = 3240311040.

The previous prime is 10044973051. The next prime is 10044973189. The reversal of 10044973152 is 25137944001.

10044973152 is a `hidden beast` number, since 10 + 0 + 4 + 497 + 3 + 152 = 666.

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 a congruent number.

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, 553627 + ... + 571482.

It is an arithmetic number, because the mean of its divisors is an integer number (409540040).

Almost surely, 210044973152 is an apocalyptic number.

10044973152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10044973152 is an abundant number, since it is smaller than the sum of its proper divisors (19441909728).

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

10044973152 is a wasteful number, since it uses less digits than its factorization.

10044973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125156 (or 1125145 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10044973152 in words is "ten billion, forty-four million, nine hundred seventy-three thousand, one 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 1125109 2250218 3375327 4500436 6750654 9000872 10125981 13501308 18001744 20251962 27002616 34878379 36003488 40503924 54005232 69756758 81007848 104635137 108010464 139513516 162015696 209270274 279027032 313905411 324031392 418540548 558054064 627810822 837081096 1116108128 1255621644 1674162192 2511243288 3348324384 5022486576 10044973152