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11370163968 = 28331644989
BaseRepresentation
bin10101001011011011…
…01110111100000000
31002100101222011202000
422211231232330000
5141241230221333
65120130024000
7551522541042
oct124555567400
932311864660
1011370163968
114905185529
122253a18000
1310c2820797
1479c109a92
1546830c713
hex2a5b6ef00

11370163968 has 72 divisors (see below), whose sum is σ = 33623595600. Its totient is φ = 3790052352.

The previous prime is 11370163967. The next prime is 11370163969. The reversal of 11370163968 is 86936107311.

11370163968 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 0 + 1 + 639 + 6 + 8 = 666.

11370163968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11370163967) and next prime (11370163969).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11370163967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815583 + ... + 829406.

Almost surely, 211370163968 is an apocalyptic number.

11370163968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11370163968 is an abundant number, since it is smaller than the sum of its proper divisors (22253431632).

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

11370163968 is an equidigital number, since it uses as much as digits as its factorization.

11370163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645014 (or 1644994 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11370163968 in words is "eleven billion, three hundred seventy million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1644989 3289978 4934967 6579956 9869934 13159912 14804901 19739868 26319824 29609802 39479736 44414703 52639648 59219604 78959472 88829406 105279296 118439208 157918944 177658812 210558592 236878416 315837888 355317624 421117184 473756832 631675776 710635248 947513664 1263351552 1421270496 1895027328 2842540992 3790054656 5685081984 11370163968