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212837934144 = 26311100775537
BaseRepresentation
bin1100011000111000100…
…0010010010001000000
3202100101001010022101210
43012032020102101000
511441343002343034
6241435411330120
721243215406303
oct3061610222100
9670331108353
10212837934144
118229a513130
12352babb0940
13170bbc59004
14a431100b3a
15580a5618e9
hex318e212440

212837934144 has 56 divisors (see below), whose sum is σ = 614327679648. Its totient is φ = 64496343040.

The previous prime is 212837934119. The next prime is 212837934151. The reversal of 212837934144 is 441439738212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212837934093 and 212837934102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50385657 + ... + 50389880.

Almost surely, 2212837934144 is an apocalyptic number.

212837934144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212837934144 is an abundant number, since it is smaller than the sum of its proper divisors (401489745504).

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

212837934144 is a wasteful number, since it uses less digits than its factorization.

212837934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100775563 (or 100775553 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 212837934144 in words is "two hundred twelve billion, eight hundred thirty-seven million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 100775537 201551074 302326611 403102148 604653222 806204296 1108530907 1209306444 1612408592 2217061814 2418612888 3224817184 3325592721 4434123628 4837225776 6449634368 6651185442 8868247256 9674451552 13302370884 17736494512 19348903104 26604741768 35472989024 53209483536 70945978048 106418967072 212837934144