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11079473152 = 211112321383
BaseRepresentation
bin10100101000110001…
…10101100000000000
31001121010222112220111
422110120311200000
5140142321120102
65031223321104
7541362652666
oct122430654000
931533875814
1011079473152
11477608a190
1221925b0194
131077531c97
1477167ac36
1544ca3bcd7
hex294635800

11079473152 has 96 divisors (see below), whose sum is σ = 25219434240. Its totient is φ = 4816936960.

The previous prime is 11079473131. The next prime is 11079473219. The reversal of 11079473152 is 25137497011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507453 + ... + 528835.

It is an arithmetic number, because the mean of its divisors is an integer number (262702440).

Almost surely, 211079473152 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 11079473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609717120).

11079473152 is an abundant number, since it is smaller than the sum of its proper divisors (14139961088).

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

11079473152 is a wasteful number, since it uses less digits than its factorization.

11079473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21439 (or 21419 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 11079473152 in words is "eleven billion, seventy-nine million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2048 2816 2944 4048 5632 5888 8096 11264 11776 16192 21383 22528 23552 32384 42766 47104 64768 85532 129536 171064 235213 259072 342128 470426 491809 518144 684256 940852 983618 1368512 1881704 1967236 2737024 3763408 3934472 5409899 5474048 7526816 7868944 10819798 10948096 15053632 15737888 21639596 21896192 30107264 31475776 43279192 43792384 60214528 62951552 86558384 120429056 125903104 173116768 240858112 251806208 346233536 481716224 503612416 692467072 1007224832 1384934144 2769868288 5539736576 11079473152