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11426045625 = 33542113209
BaseRepresentation
bin10101010010000101…
…11001111010111001
31002111022010020222000
422221002321322321
5141400031430000
65125443451213
7553101533241
oct125102717271
932438106860
1011426045625
114933783215
12226a686b09
131101288057
147a56d4b21
1546d19a000
hex2a90b9eb9

11426045625 has 80 divisors (see below), whose sum is σ = 21259444800. Its totient is φ = 6063120000.

The previous prime is 11426045623. The next prime is 11426045693. The reversal of 11426045625 is 52654062411.

11426045625 is a `hidden beast` number, since 1 + 1 + 4 + 26 + 0 + 4 + 5 + 625 = 666.

It is not a de Polignac number, because 11426045625 - 21 = 11426045623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11426045625.

It is not an unprimeable number, because it can be changed into a prime (11426045623) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3559021 + ... + 3562229.

It is an arithmetic number, because the mean of its divisors is an integer number (265743060).

Almost surely, 211426045625 is an apocalyptic number.

11426045625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11426045625 is a deficient number, since it is larger than the sum of its proper divisors (9833399175).

11426045625 is an equidigital number, since it uses as much as digits as its factorization.

11426045625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11426045625 in words is "eleven billion, four hundred twenty-six million, forty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 211 225 375 625 633 675 1055 1125 1875 1899 3165 3209 3375 5275 5625 5697 9495 9627 15825 16045 16875 26375 28485 28881 47475 48135 79125 80225 86643 131875 142425 144405 237375 240675 395625 401125 433215 677099 712125 722025 1186875 1203375 2005625 2031297 2166075 3385495 3560625 3610125 6016875 6093891 10156485 10830375 16927475 18050625 18281673 30469455 50782425 54151875 84637375 91408365 152347275 253912125 423186875 457041825 761736375 1269560625 2285209125 3808681875 11426045625