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216148364256 = 25311204685951
BaseRepresentation
bin1100100101001101110…
…0100100101111100000
3202122220202021120210110
43021103130210233200
512020132440124011
6243144105331320
721421233532116
oct3112334445740
9678822246713
10216148364256
1183739131290
1235a83796b40
13174c8a508b6
14a666a33ab6
155950ec4ba6
hex3253724be0

216148364256 has 48 divisors (see below), whose sum is σ = 618970318848. Its totient is φ = 65499504000.

The previous prime is 216148364251. The next prime is 216148364261. The reversal of 216148364256 is 652463841612.

It is an interprime number because it is at equal distance from previous prime (216148364251) and next prime (216148364261).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216148364251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102341920 + ... + 102344031.

It is an arithmetic number, because the mean of its divisors is an integer number (12895214976).

Almost surely, 2216148364256 is an apocalyptic number.

It is an amenable number.

216148364256 is an abundant number, since it is smaller than the sum of its proper divisors (402821954592).

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

216148364256 is a wasteful number, since it uses less digits than its factorization.

216148364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204685975 (or 204685967 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 216148364256 in words is "two hundred sixteen billion, one hundred forty-eight million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 204685951 409371902 614057853 818743804 1228115706 1637487608 2251545461 2456231412 3274975216 4503090922 4912462824 6549950432 6754636383 9006181844 9824925648 13509272766 18012363688 19649851296 27018545532 36024727376 54037091064 72049454752 108074182128 216148364256