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10473885072 = 2432712781817
BaseRepresentation
bin10011100000100101…
…01100110110010000
31000000221110111020100
421300102230312100
5132422303310242
64451151412400
7520360361040
oct116022546620
930027414210
1010473885072
114495264972
122043824100
13cabc2aa41
1471507b720
154147b854c
hex2704acd90

10473885072 has 120 divisors (see below), whose sum is σ = 33763997696. Its totient is φ = 2968939008.

The previous prime is 10473885053. The next prime is 10473885073. The reversal of 10473885072 is 27058837401.

10473885072 is a `hidden beast` number, since 104 + 7 + 38 + 8 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10473885073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87108 + ... + 168924.

Almost surely, 210473885072 is an apocalyptic number.

10473885072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10473885072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881998848).

10473885072 is an abundant number, since it is smaller than the sum of its proper divisors (23290112624).

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

10473885072 is a wasteful number, since it uses less digits than its factorization.

10473885072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81965 (or 81956 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10473885072 in words is "ten billion, four hundred seventy-three million, eight hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1524 1778 2032 2286 2667 3048 3556 4572 5334 6096 7112 8001 9144 10668 14224 16002 18288 21336 32004 42672 64008 81817 128016 163634 245451 327268 490902 572719 654536 736353 981804 1145438 1309072 1472706 1718157 1963608 2290876 2945412 3436314 3927216 4581752 5154471 5890824 6872628 9163504 10308942 10390759 11781648 13745256 20617884 20781518 27490512 31172277 41235768 41563036 62344554 72735313 82471536 83126072 93516831 124689108 145470626 166252144 187033662 218205939 249378216 290941252 374067324 436411878 498756432 581882504 654617817 748134648 872823756 1163765008 1309235634 1496269296 1745647512 2618471268 3491295024 5236942536 10473885072