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11252215152 = 2432411905863
BaseRepresentation
bin10100111101010111…
…10010110101110000
31002001012000202101100
422132223302311300
5141021031341102
65100314004400
7545561151663
oct123653626560
932035022340
1011252215152
114854644872
122220416700
1310a4264399
1478a5a56da
1545ccaea1c
hex29eaf2d70

11252215152 has 60 divisors (see below), whose sum is σ = 32258654064. Its totient is φ = 3659255040.

The previous prime is 11252215141. The next prime is 11252215157. The reversal of 11252215152 is 25151225211.

11252215152 is a `hidden beast` number, since 1 + 125 + 2 + 21 + 515 + 2 = 666.

It is a super-2 number, since 2×112522151522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252215157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947028 + ... + 958835.

Almost surely, 211252215152 is an apocalyptic number.

11252215152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11252215152 is an abundant number, since it is smaller than the sum of its proper divisors (21006438912).

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

11252215152 is a wasteful number, since it uses less digits than its factorization.

11252215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905918 (or 1905909 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The spelling of 11252215152 in words is "eleven billion, two hundred fifty-two million, two hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 1905863 3811726 5717589 7623452 11435178 15246904 17152767 22870356 30493808 34305534 45740712 68611068 78140383 91481424 137222136 156280766 234421149 274444272 312561532 468842298 625123064 703263447 937684596 1250246128 1406526894 1875369192 2813053788 3750738384 5626107576 11252215152