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72258510800220 = 22358269145641373
BaseRepresentation
bin10000011011011111111110…
…110111100100010101011100
3100110211211211212010220221220
4100123133332313210111130
533432340412231101340
6413403033540053340
721135335154466353
oct2033377667442534
9313754755126856
1072258510800220
1121029731631348
128130225094250
133141c43637004
1413bb48b19899a
15854922a85ed0
hex41b7fede455c

72258510800220 has 48 divisors (see below), whose sum is σ = 202348299380640. Its totient is φ = 19266605819136.

The previous prime is 72258510800213. The next prime is 72258510800239. The reversal of 72258510800220 is 2200801585227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72324547 + ... + 73316826.

It is an arithmetic number, because the mean of its divisors is an integer number (4215589570430).

Almost surely, 272258510800220 is an apocalyptic number.

It is an amenable number.

72258510800220 is an abundant number, since it is smaller than the sum of its proper divisors (130089788580420).

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

72258510800220 is a wasteful number, since it uses less digits than its factorization.

72258510800220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145649654 (or 145649652 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 72258510800220 in words is "seventy-two trillion, two hundred fifty-eight billion, five hundred ten million, eight hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 8269 16538 24807 33076 41345 49614 82690 99228 124035 165380 248070 496140 145641373 291282746 436924119 582565492 728206865 873848238 1456413730 1747696476 2184620595 2912827460 4369241190 8738482380 1204308513337 2408617026674 3612925540011 4817234053348 6021542566685 7225851080022 12043085133370 14451702160044 18064627700055 24086170266740 36129255400110 72258510800220