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72055070652222 = 23275608110197137
BaseRepresentation
bin10000011000100010100000…
…111000111111011100111110
3100110010101201202121121120200
4100120202200320333130332
533421022241041332342
6413125350435424330
721114543551662350
oct2030424070773476
9313111652547520
1072055070652222
1120a60424a03029
1280b89094550a6
1331289c16a6008
1413b16ac2590d0
1584e4b75c894c
hex4188a0e3f73e

72055070652222 has 48 divisors (see below), whose sum is σ = 178425278714592. Its totient is φ = 20586793927680.

The previous prime is 72055070652217. The next prime is 72055070652251. The reversal of 72055070652222 is 22225607055027.

72055070652222 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 50 + 70 + 6 + 522 + 2 + 2 = 666.

It is a super-3 number, since 3×720550706522223 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967638 + ... + 12164774.

It is an arithmetic number, because the mean of its divisors is an integer number (3717193306554).

Almost surely, 272055070652222 is an apocalyptic number.

72055070652222 is an abundant number, since it is smaller than the sum of its proper divisors (106370208062370).

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

72055070652222 is a wasteful number, since it uses less digits than its factorization.

72055070652222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253233 (or 10253230 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 72055070652222 in words is "seventy-two trillion, fifty-five billion, seventy million, six hundred fifty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 56081 112162 168243 336486 392567 504729 785134 1009458 1177701 2355402 3533103 7066206 10197137 20394274 30591411 61182822 71379959 91774233 142759918 183548466 214139877 428279754 642419631 1284839262 571865640097 1143731280194 1715596920291 3431193840582 4003059480679 5146790760873 8006118961358 10293581521746 12009178442037 24018356884074 36027535326111 72055070652222