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72047000058 = 231126328114771
BaseRepresentation
bin100001100011001010…
…1011111100111111010
320212222002010211001120
41003012111133213322
52140023013000213
653033053130110
75130251252565
oct1030625374772
9225862124046
1072047000058
1128611720560
1211b68489936
136a425697a7
1436b68274dc
151d1a1a9423
hex10c655f9fa

72047000058 has 64 divisors (see below), whose sum is σ = 158363403264. Its totient is φ = 21670544000.

The previous prime is 72047000057. The next prime is 72047000107. The reversal of 72047000058 is 85000074027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72046999992 and 72047000028.

It is not an unprimeable number, because it can be changed into a prime (72047000057) 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, 4870213 + ... + 4884983.

It is an arithmetic number, because the mean of its divisors is an integer number (2474428176).

Almost surely, 272047000058 is an apocalyptic number.

72047000058 is an abundant number, since it is smaller than the sum of its proper divisors (86316403206).

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

72047000058 is a wasteful number, since it uses less digits than its factorization.

72047000058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331.

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 72047000058 in words is "seventy-two billion, forty-seven million, fifty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 11 22 33 66 263 281 526 562 789 843 1578 1686 2893 3091 5786 6182 8679 9273 14771 17358 18546 29542 44313 73903 88626 147806 162481 221709 324962 443418 487443 812933 974886 1625866 2438799 3884773 4150651 4877598 7769546 8301302 11654319 12451953 23308638 24903906 42732503 45657161 85465006 91314322 128197509 136971483 256395018 273942966 1091621213 2183242426 3274863639 6549727278 12007833343 24015666686 36023500029 72047000058