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72930000858 = 231113389218509
BaseRepresentation
bin100001111101011110…
…1110111111111011010
320222020121122220102220
41003322331313333122
52143330040011413
653300435004510
75161162531131
oct1037275677732
9228217586386
1072930000858
1128a250a2090
1212174139736
136b53490880
14375bbda918
151d6c979223
hex10faf77fda

72930000858 has 64 divisors (see below), whose sum is σ = 171801302400. Its totient is φ = 20347464960.

The previous prime is 72930000853. The next prime is 72930000953. The reversal of 72930000858 is 85800003927.

It is not an unprimeable number, because it can be changed into a prime (72930000853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224508 + ... + 443016.

It is an arithmetic number, because the mean of its divisors is an integer number (2684395350).

Almost surely, 272930000858 is an apocalyptic number.

72930000858 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72930000858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85900651200).

72930000858 is an abundant number, since it is smaller than the sum of its proper divisors (98871301542).

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

72930000858 is a wasteful number, since it uses less digits than its factorization.

72930000858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218927.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 72930000858 in words is "seventy-two billion, nine hundred thirty million, eight hundred fifty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 389 429 778 858 1167 2334 4279 5057 8558 10114 12837 15171 25674 30342 55627 111254 166881 218509 333762 437018 655527 1311054 2403599 2840617 4807198 5681234 7210797 8521851 14421594 17043702 31246787 62493574 85000001 93740361 170000002 187480722 255000003 510000006 935000011 1105000013 1870000022 2210000026 2805000033 3315000039 5610000066 6630000078 12155000143 24310000286 36465000429 72930000858