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11404926976 = 2132961787
BaseRepresentation
bin10101001111100100…
…10110000000000000
31002102211101022121211
422213302112000000
5141324130130401
65123411055504
7552424164652
oct124762260000
932384338554
1011404926976
114922869493
1222635a1594
1310c9aa2701
147a29986d2
1546b3c7951
hex2a7c96000

11404926976 has 112 divisors (see below), whose sum is σ = 24012235440. Its totient is φ = 5408686080.

The previous prime is 11404926971. The next prime is 11404926977. The reversal of 11404926976 is 67962940411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404926971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14491255 + ... + 14492041.

Almost surely, 211404926976 is an apocalyptic number.

11404926976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12006117720).

11404926976 is an abundant number, since it is smaller than the sum of its proper divisors (12607308464).

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

11404926976 is an frugal number, since it uses more digits than its factorization.

11404926976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 11404926976 in words is "eleven billion, four hundred four million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 512 787 928 976 1024 1574 1769 1856 1952 2048 3148 3538 3712 3904 4096 6296 7076 7424 7808 8192 12592 14152 14848 15616 22823 25184 28304 29696 31232 45646 48007 50368 56608 59392 62464 91292 96014 100736 113216 118784 124928 182584 192028 201472 226432 237568 249856 365168 384056 402944 452864 499712 730336 768112 805888 905728 1392203 1460672 1536224 1611776 1811456 2784406 2921344 3072448 3223552 3622912 5568812 5842688 6144896 6447104 7245824 11137624 11685376 12289792 14491648 22275248 23370752 24579584 44550496 46741504 49159168 89100992 93483008 98318336 178201984 186966016 196636672 356403968 393273344 712807936 1425615872 2851231744 5702463488 11404926976