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11538531456 = 27335938363
BaseRepresentation
bin10101011111100000…
…00000010010000000
31002210010210010111220
422233300000102000
5142112331001311
65144542435040
7555635620254
oct125760002200
932703703456
1011538531456
114991222511
1222a0292a80
13111b680a0a
147b6616264
15477eb9206
hex2afc00480

11538531456 has 64 divisors (see below), whose sum is σ = 30661420320. Its totient is φ = 3844646912.

The previous prime is 11538531449. The next prime is 11538531457. The reversal of 11538531456 is 65413583511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×115385314562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11538531457) by changing a digit.

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, 1375531 + ... + 1383893.

Almost surely, 211538531456 is an apocalyptic number.

11538531456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11538531456 is an abundant number, since it is smaller than the sum of its proper divisors (19122888864).

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

11538531456 is an equidigital number, since it uses as much as digits as its factorization.

11538531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11961 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The spelling of 11538531456 in words is "eleven billion, five hundred thirty-eight million, five hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3593 7186 8363 10779 14372 16726 21558 25089 28744 33452 43116 50178 57488 66904 86232 100356 114976 133808 172464 200712 229952 267616 344928 401424 459904 535232 689856 802848 1070464 1379712 1605696 3211392 30048259 60096518 90144777 120193036 180289554 240386072 360579108 480772144 721158216 961544288 1442316432 1923088576 2884632864 3846177152 5769265728 11538531456