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72399003312 = 2437125472
BaseRepresentation
bin100001101101101010…
…0010001111010110000
320220212121111102202010
41003123110101322300
52141233121101222
653132025522520
75142054242256
oct1033324217260
9226777442663
1072399003312
1128782393839
1212046343440
136a9a47473c
14370b4965d6
151d3b03b80c
hex10db511eb0

72399003312 has 90 divisors (see below), whose sum is σ = 190049535084. Its totient is φ = 23749602240.

The previous prime is 72399003301. The next prime is 72399003329. The reversal of 72399003312 is 21330099327.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132356223 + ... + 132356769.

Almost surely, 272399003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72399003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95024767542).

72399003312 is an abundant number, since it is smaller than the sum of its proper divisors (117650531772).

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

72399003312 is an frugal number, since it uses more digits than its factorization.

72399003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The spelling of 72399003312 in words is "seventy-two billion, three hundred ninety-nine million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 547 568 852 1094 1136 1641 1704 2188 3282 3408 4376 5041 6564 8752 10082 13128 15123 20164 26256 30246 38837 40328 60492 77674 80656 116511 120984 155348 233022 241968 299209 310696 466044 598418 621392 897627 932088 1196836 1795254 1864176 2393672 2757427 3590508 4787344 5514854 7181016 8272281 11029708 14362032 16544562 21243839 22059416 33089124 42487678 44118832 63731517 66178248 84975356 127463034 132356496 169950712 254926068 339901424 509852136 1019704272 1508312569 3016625138 4524937707 6033250276 9049875414 12066500552 18099750828 24133001104 36199501656 72399003312