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211525425144 = 233211267077557
BaseRepresentation
bin1100010011111111100…
…1011101011111111000
3202012222120101221112100
43010333321131133320
511431201002101034
6241101243543400
721165540306405
oct3047771353770
9665876357470
10211525425144
1181786651750
1234bb352ab60
1316c40061477
14a348a852ac
155780200099
hex313fe5d7f8

211525425144 has 48 divisors (see below), whose sum is σ = 624961485720. Its totient is φ = 64098613440.

The previous prime is 211525425143. The next prime is 211525425161. The reversal of 211525425144 is 441524525112.

211525425144 is a `hidden beast` number, since 2 + 1 + 1 + 525 + 42 + 51 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211525425099 and 211525425108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211525425143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133537987 + ... + 133539570.

Almost surely, 2211525425144 is an apocalyptic number.

211525425144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211525425144 is an abundant number, since it is smaller than the sum of its proper divisors (413436060576).

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

211525425144 is a wasteful number, since it uses less digits than its factorization.

211525425144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267077580 (or 267077573 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 211525425144 in words is "two hundred eleven billion, five hundred twenty-five million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 267077557 534155114 801232671 1068310228 1602465342 2136620456 2403698013 2937853127 3204930684 4807396026 5875706254 6409861368 8813559381 9614792052 11751412508 17627118762 19229584104 23502825016 26440678143 35254237524 52881356286 70508475048 105762712572 211525425144