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10475801712 = 2433371315003
BaseRepresentation
bin10011100000110100…
…00000110001110000
31000001002001212101000
421300122000301300
5132423301123322
64451300442000
7520412562645
oct116032006160
930032055330
1010475801712
114496353972
1220443a9300
13cac44c24c
14715419dcc
15414a463ac
hex270680c70

10475801712 has 160 divisors (see below), whose sum is σ = 31124079360. Its totient is φ = 3370947840.

The previous prime is 10475801669. The next prime is 10475801717. The reversal of 10475801712 is 21710857401.

10475801712 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 580 + 1 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475801717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091403 + ... + 2096405.

It is an arithmetic number, because the mean of its divisors is an integer number (194525496).

Almost surely, 210475801712 is an apocalyptic number.

10475801712 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 10475801712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562039680).

10475801712 is an abundant number, since it is smaller than the sum of its proper divisors (20648277648).

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

10475801712 is a wasteful number, since it uses less digits than its factorization.

10475801712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 10475801712 in words is "ten billion, four hundred seventy-five million, eight hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 131 144 148 216 222 262 296 333 393 432 444 524 592 666 786 888 999 1048 1179 1332 1572 1776 1998 2096 2358 2664 3144 3537 3996 4716 4847 5003 5328 6288 7074 7992 9432 9694 10006 14148 14541 15009 15984 18864 19388 20012 28296 29082 30018 38776 40024 43623 45027 56592 58164 60036 77552 80048 87246 90054 116328 120072 130869 135081 174492 180108 185111 232656 240144 261738 270162 348984 360216 370222 523476 540324 555333 655393 697968 720432 740444 1046952 1080648 1110666 1310786 1480888 1665999 1966179 2093904 2161296 2221332 2621572 2961776 3331998 3932358 4442664 4997997 5243144 5898537 6663996 7864716 8885328 9995994 10486288 11797074 13327992 15729432 17695611 19991988 23594148 24249541 26655984 31458864 35391222 39983976 47188296 48499082 70782444 72748623 79967952 94376592 96998164 141564888 145497246 193996328 218245869 283129776 290994492 387992656 436491738 581988984 654737607 872983476 1163977968 1309475214 1745966952 2618950428 3491933904 5237900856 10475801712