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11432722896 = 2432729391103
BaseRepresentation
bin10101010010111000…
…11000000111010000
31002111202200111110100
422221130120013100
5141403234113041
65130242532400
7553212353430
oct125134300720
932452614410
1011432722896
114937523a21
122270967100
1311027853ba
147a65522c0
1546da686b6
hex2a97181d0

11432722896 has 120 divisors (see below), whose sum is σ = 37827578880. Its totient is φ = 3153846528.

The previous prime is 11432722877. The next prime is 11432722913. The reversal of 11432722896 is 69822723411.

11432722896 is a `hidden beast` number, since 1 + 14 + 327 + 228 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166320 + ... + 224783.

It is an arithmetic number, because the mean of its divisors is an integer number (315229824).

Almost surely, 211432722896 is an apocalyptic number.

11432722896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11432722896 is an abundant number, since it is smaller than the sum of its proper divisors (26394855984).

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

11432722896 is a wasteful number, since it uses less digits than its factorization.

11432722896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391153 (or 391144 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11432722896 in words is "eleven billion, four hundred thirty-two million, seven hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 391103 782206 1173309 1564412 2346618 2737721 3128824 3519927 4693236 5475442 6257648 7039854 8213163 9386472 10950884 11341987 14079708 16426326 18772944 21901768 22683974 24639489 28159416 32852652 34025961 43803536 45367948 49278978 56318832 65705304 68051922 79393909 90735896 98557956 102077883 131410608 136103844 158787818 181471792 197115912 204155766 238181727 272207688 317575636 394231824 408311532 476363454 544415376 635151272 714545181 816623064 952726908 1270302544 1429090362 1633246128 1905453816 2858180724 3810907632 5716361448 11432722896