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11376257376 = 253112979361
BaseRepresentation
bin10101001100001001…
…11110100101100000
31002100211102202022210
422212010332211200
5141244310214001
65120504402120
7551625410061
oct124604764540
932324382283
1011376257376
114908667600
122255a76340
1310c3b75153
1479cc54568
15468b12dd6
hex2a613e960

11376257376 has 72 divisors (see below), whose sum is σ = 32824296792. Its totient is φ = 3447347200.

The previous prime is 11376257357. The next prime is 11376257377. The reversal of 11376257376 is 67375267311.

11376257376 = T215 + T216 + ... + T4086.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11376257377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478065 + ... + 501296.

It is an arithmetic number, because the mean of its divisors is an integer number (455893011).

Almost surely, 211376257376 is an apocalyptic number.

11376257376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11376257376 is an abundant number, since it is smaller than the sum of its proper divisors (21448039416).

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

11376257376 is a wasteful number, since it uses less digits than its factorization.

11376257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979396 (or 979377 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 48.

The spelling of 11376257376 in words is "eleven billion, three hundred seventy-six million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 979361 1958722 2938083 3917444 5876166 7834888 10772971 11752332 15669776 21545942 23504664 31339552 32318913 43091884 47009328 64637826 86183768 94018656 118502681 129275652 172367536 237005362 258551304 344735072 355508043 474010724 517102608 711016086 948021448 1034205216 1422032172 1896042896 2844064344 3792085792 5688128688 11376257376