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72908310941050 = 25213112166632217
BaseRepresentation
bin10000100100111101001001…
…111110011000110101111010
3100120010222002112202020211111
4100210331021332120311322
534024012210100103200
6415021340552150534
721233310624530344
oct2044751176306572
9316128075666744
1072908310941050
112125a2718a0822
12821615199844a
13318b2bb7c9070
141400ad13c6294
158667a496b0ba
hex424f49f98d7a

72908310941050 has 24 divisors (see below), whose sum is σ = 146040955147836. Its totient is φ = 26919991731840.

The previous prime is 72908310941023. The next prime is 72908310941093. The reversal of 72908310941050 is 5014901380927.

It is a happy number.

72908310941050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 288991181241 + 72619319759809 = 537579^2 + 8521697^2 .

It is a super-2 number, since 2×729083109410502 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) 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 = 72908310940985 and 72908310941003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56083315459 + ... + 56083316758.

Almost surely, 272908310941050 is an apocalyptic number.

72908310941050 is an abundant number, since it is smaller than the sum of its proper divisors (73132644206786).

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

72908310941050 is a wasteful number, since it uses less digits than its factorization.

72908310941050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112166632242 (or 112166632237 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 72908310941050 in words is "seventy-two trillion, nine hundred eight billion, three hundred ten million, nine hundred forty-one thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 112166632217 224333264434 560833161085 1121666322170 1458166218821 2804165805425 2916332437642 5608331610850 7290831094105 14581662188210 36454155470525 72908310941050