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11004831744 = 21136172903
BaseRepresentation
bin10100011111111000…
…00110100000000000
31001101221112101010220
422033330012200000
5140014214103434
65015555423040
7536465345364
oct121774064000
931357471126
1011004831744
114737a38a75
1221715b4a80
131064c2997a
147657ab2a4
154461e5d49
hex28ff06800

11004831744 has 96 divisors (see below), whose sum is σ = 29396727360. Its totient is φ = 3661070336.

The previous prime is 11004831737. The next prime is 11004831751. The reversal of 11004831744 is 44713840011.

It is an interprime number because it is at equal distance from previous prime (11004831737) and next prime (11004831751).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110048317442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3789397 + ... + 3792299.

It is an arithmetic number, because the mean of its divisors is an integer number (306215910).

Almost surely, 211004831744 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 11004831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698363680).

11004831744 is an abundant number, since it is smaller than the sum of its proper divisors (18391895616).

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

11004831744 is an equidigital number, since it uses as much as digits as its factorization.

11004831744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 11004831744 in words is "eleven billion, four million, eight hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 617 768 1024 1234 1536 1851 2048 2468 2903 3072 3702 4936 5806 6144 7404 8709 9872 11612 14808 17418 19744 23224 29616 34836 39488 46448 59232 69672 78976 92896 118464 139344 157952 185792 236928 278688 315904 371584 473856 557376 631808 743168 947712 1114752 1263616 1486336 1791151 1895424 2229504 2972672 3582302 3790848 4459008 5373453 5945344 7164604 8918016 10746906 14329208 17836032 21493812 28658416 42987624 57316832 85975248 114633664 171950496 229267328 343900992 458534656 687801984 917069312 1375603968 1834138624 2751207936 3668277248 5502415872 11004831744