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212027917552 = 24119157131561
BaseRepresentation
bin1100010101110111011…
…0010100010011110000
3202021021120221012112021
43011131312110103300
511433213121330202
6241223154041224
721214151364013
oct3053566242360
9667246835467
10212027917552
1181a14260730
1235113879214
1316cc01a9b59
14a3956c937a
1557ae3aba37
hex315dd944f0

212027917552 has 40 divisors (see below), whose sum is σ = 448202264112. Its totient is φ = 96365068800.

The previous prime is 212027917547. The next prime is 212027917603. The reversal of 212027917552 is 255719720212.

212027917552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212027917499 and 212027917508.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1545852 + ... + 1677412.

Almost surely, 2212027917552 is an apocalyptic number.

212027917552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212027917552 is an abundant number, since it is smaller than the sum of its proper divisors (236174346560).

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

212027917552 is a wasteful number, since it uses less digits than its factorization.

212027917552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140737 (or 140731 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 212027917552 in words is "two hundred twelve billion, twenty-seven million, nine hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 9157 18314 36628 73256 100727 131561 146512 201454 263122 402908 526244 805816 1052488 1447171 1611632 2104976 2894342 5788684 11577368 23154736 1204704077 2409408154 4818816308 9637632616 13251744847 19275265232 26503489694 53006979388 106013958776 212027917552