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72999909000 = 2332538111101
BaseRepresentation
bin100001111111100100…
…0100011011010001000
320222102111012121101100
41003333020203122020
52144000434042000
653311413221400
75163001663014
oct1037710433210
9228374177340
1072999909000
1128a60600107
1212193631860
136b64ac9635
1437671d7544
151d73b87a00
hex10ff223688

72999909000 has 96 divisors (see below), whose sum is σ = 246739722840. Its totient is φ = 19466640000.

The previous prime is 72999908953. The next prime is 72999909011. The reversal of 72999909000 is 90999927.

It can be written as a sum of positive squares in 4 ways, for example, as 32957497764 + 40042411236 = 181542^2 + 200106^2 .

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 23 ways as a sum of consecutive naturals, for example, 4046551 + ... + 4064550.

Almost surely, 272999909000 is an apocalyptic number.

It is an amenable number.

72999909000 is an abundant number, since it is smaller than the sum of its proper divisors (173739813840).

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

72999909000 is a wasteful number, since it uses less digits than its factorization.

72999909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111128 (or 8111111 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The spelling of 72999909000 in words is "seventy-two billion, nine hundred ninety-nine million, nine hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 8111101 16222202 24333303 32444404 40555505 48666606 64888808 72999909 81111010 97333212 121666515 145999818 162222020 194666424 202777525 243333030 291999636 324444040 364999545 405555050 486666060 583999272 608332575 729999090 811110100 973332120 1013887625 1216665150 1459998180 1622220200 1824997725 2027775250 2433330300 2919996360 3041662875 3649995450 4055550500 4866660600 6083325750 7299990900 8111101000 9124988625 12166651500 14599981800 18249977250 24333303000 36499954500 72999909000