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11453508264 = 23311331131071
BaseRepresentation
bin10101010101010111…
…01010101010101000
31002120012210111121210
422222223222222220
5141424044231024
65132304233120
7553554133242
oct125253525250
932505714553
1011453508264
114948230310
12227790b7a0
131106b82133
147a9203092
154707c2129
hex2aaaeaaa8

11453508264 has 64 divisors (see below), whose sum is σ = 31331450880. Its totient is φ = 3460248000.

The previous prime is 11453508263. The next prime is 11453508293. The reversal of 11453508264 is 46280535411.

11453508264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11453508263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21849 + ... + 152919.

It is an arithmetic number, because the mean of its divisors is an integer number (489553920).

Almost surely, 211453508264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11453508264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665725440).

11453508264 is an abundant number, since it is smaller than the sum of its proper divisors (19877942616).

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

11453508264 is a wasteful number, since it uses less digits than its factorization.

11453508264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131422 (or 131418 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 11453508264 in words is "eleven billion, four hundred fifty-three million, five hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2648 3641 3972 7282 7944 10923 14564 21846 29128 43692 87384 131071 262142 393213 524284 786426 1048568 1441781 1572852 2883562 3145704 4325343 5767124 8650686 11534248 17301372 34602744 43384501 86769002 130153503 173538004 260307006 347076008 477229511 520614012 954459022 1041228024 1431688533 1908918044 2863377066 3817836088 5726754132 11453508264