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10746225315 = 335715772431
BaseRepresentation
bin10100000001000011…
…00110001010100011
31000201220220210211000
422000201212022203
5134002013202230
64534200523043
7530205256650
oct120041461243
930656823730
1010746225315
114614a67151
1220baa80483
131023492b07
1473d2d0c27
1542d661b60
hex2808662a3

10746225315 has 64 divisors (see below), whose sum is σ = 21972971520. Its totient is φ = 4881202560.

The previous prime is 10746225313. The next prime is 10746225323. The reversal of 10746225315 is 51352264701.

10746225315 is a `hidden beast` number, since 10 + 7 + 4 + 622 + 5 + 3 + 15 = 666.

It is not a de Polignac number, because 10746225315 - 21 = 10746225313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10746225315.

It is not an unprimeable number, because it can be changed into a prime (10746225313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112150 + ... + 184580.

It is an arithmetic number, because the mean of its divisors is an integer number (343327680).

Almost surely, 210746225315 is an apocalyptic number.

10746225315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10746225315 is an abundant number, since it is smaller than the sum of its proper divisors (11226746205).

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

10746225315 is a wasteful number, since it uses less digits than its factorization.

10746225315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72609 (or 72603 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10746225315 in words is "ten billion, seven hundred forty-six million, two hundred twenty-five thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 315 471 785 945 1099 1413 2355 3297 4239 5495 7065 9891 16485 21195 29673 49455 72431 148365 217293 362155 507017 651879 1086465 1521051 1955637 2535085 3259395 4563153 7605255 9778185 11371667 13689459 22815765 34115001 56858335 68447295 79601669 102345003 170575005 238805007 307035009 398008345 511725015 716415021 1194025035 1535175045 2149245063 3582075105 10746225315