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72402504754404 = 223112389283780929
BaseRepresentation
bin10000011101100110000101…
…100100111010010011100100
3100111100121112001011200212010
4100131212011210322103210
533442220312204120104
6413553130154154220
721151623364062066
oct2035460544722344
9314317461150763
1072402504754404
112108480344a370
128154110422970
1331526b07b18b6
1413c442b005736
1585854e236489
hex41d98593a4e4

72402504754404 has 96 divisors (see below), whose sum is σ = 184441697193600. Its totient is φ = 21922967900160.

The previous prime is 72402504754397. The next prime is 72402504754409. The reversal of 72402504754404 is 40445740520427.

It is a happy number.

It is a super-2 number, since 2×724025047544042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72402504754409) 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, 894601812 + ... + 894682740.

It is an arithmetic number, because the mean of its divisors is an integer number (1921267679100).

Almost surely, 272402504754404 is an apocalyptic number.

It is an amenable number.

72402504754404 is an abundant number, since it is smaller than the sum of its proper divisors (112039192439196).

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

72402504754404 is a wasteful number, since it uses less digits than its factorization.

72402504754404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86173 (or 86171 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 48.

The spelling of 72402504754404 in words is "seventy-two trillion, four hundred two billion, five hundred four million, seven hundred fifty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2389 2837 4778 5674 7167 8511 9556 11348 14334 17022 26279 28668 31207 34044 52558 62414 78837 80929 93621 105116 124828 157674 161858 187242 242787 315348 323716 374484 485574 890219 971148 1780438 2670657 3560876 5341314 6777593 10682628 13555186 20332779 27110372 40665558 74553523 81331116 149107046 193339381 223660569 229595573 298214092 386678762 447321138 459191146 580018143 688786719 773357524 894642276 918382292 1160036286 1377573438 2126733191 2320072572 2525551303 2755146876 4253466382 5051102606 6380199573 7576653909 8506932764 10102205212 12760399146 15153307818 25520798292 30306615636 548503823897 1097007647794 1645511471691 2194015295588 3291022943382 6033542062867 6582045886764 12067084125734 18100626188601 24134168251468 36201252377202 72402504754404