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72994380800 = 2105211259213
BaseRepresentation
bin100001111111011001…
…1011101110000000000
320222102002210202010012
41003332303131300000
52143443030141200
653311054524052
75162603666555
oct1037663356000
9228362722105
1072994380800
1128a58474750
1212191806628
136b63912303
143766598a2c
151d73444a35
hex10fecddc00

72994380800 has 132 divisors (see below), whose sum is σ = 197387313576. Its totient is φ = 26543308800.

The previous prime is 72994380799. The next prime is 72994380817. The reversal of 72994380800 is 808349927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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, 151994 + ... + 411206.

Almost surely, 272994380800 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 72994380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98693656788).

72994380800 is an abundant number, since it is smaller than the sum of its proper divisors (124392932776).

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

72994380800 is a wasteful number, since it uses less digits than its factorization.

72994380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259254 (or 259231 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 72994380800 in words is "seventy-two billion, nine hundred ninety-four million, three hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2200 2560 2816 3200 3520 4400 5120 5632 6400 7040 8800 11264 12800 14080 17600 25600 28160 35200 56320 70400 140800 259213 281600 518426 1036852 1296065 2073704 2592130 2851343 4147408 5184260 5702686 6480325 8294816 10368520 11405372 12960650 14256715 16589632 20737040 22810744 25921300 28513430 33179264 41474080 45621488 51842600 57026860 66358528 71283575 82948160 91242976 103685200 114053720 132717056 142567150 165896320 182485952 207370400 228107440 265434112 285134300 331792640 364971904 414740800 456214880 570268600 663585280 729943808 829481600 912429760 1140537200 1327170560 1459887616 1658963200 1824859520 2281074400 2919775232 3317926400 3649719040 4562148800 6635852800 7299438080 9124297600 14598876160 18248595200 36497190400 72994380800