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15230020656 = 2431759931159
BaseRepresentation
bin11100010111100011…
…11010110000110000
31110022101222012201010
432023301322300300
5222142341130111
610555132110520
71046262016404
oct161361726060
943271865633
1015230020656
116505a49a34
122b50605440
1315893b4856
14a469bd104
155e20edaa6
hex38bc7ac30

15230020656 has 80 divisors (see below), whose sum is σ = 41729472000. Its totient is φ = 4769915904.

The previous prime is 15230020651. The next prime is 15230020667. The reversal of 15230020656 is 65602003251.

15230020656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15230020651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 473205 + ... + 504363.

It is an arithmetic number, because the mean of its divisors is an integer number (521618400).

Almost surely, 215230020656 is an apocalyptic number.

15230020656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15230020656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20864736000).

15230020656 is an abundant number, since it is smaller than the sum of its proper divisors (26499451344).

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

15230020656 is a wasteful number, since it uses less digits than its factorization.

15230020656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31786 (or 31780 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 15230020656 in words is "fifteen billion, two hundred thirty million, twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 599 816 1198 1797 2396 3594 4792 7188 9584 10183 14376 20366 28752 30549 31159 40732 61098 62318 81464 93477 122196 124636 162928 186954 244392 249272 373908 488784 498544 529703 747816 1059406 1495632 1589109 2118812 3178218 4237624 6356436 8475248 12712872 18664241 25425744 37328482 55992723 74656964 111985446 149313928 223970892 298627856 317292097 447941784 634584194 895883568 951876291 1269168388 1903752582 2538336776 3807505164 5076673552 7615010328 15230020656