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23671601096064 = 273409449335681
BaseRepresentation
bin1010110000111011110010…
…10111111110010110000000
310002210222112120200101100220
411120131321113332112000
511100313414340033224
6122202330003543040
74662134225300145
oct530357127762600
9102728476611326
1023671601096064
1175a7084779569
1227a386b38aa80
1310292b78163ac
145bb9d690c3cc
152b0b453c2279
hex1587795fe580

23671601096064 has 128 divisors (see below), whose sum is σ = 63171995580000. Its totient is φ = 7853687439360.

The previous prime is 23671601096029. The next prime is 23671601096071. The reversal of 23671601096064 is 46069010617632.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23671601095998 and 23671601096016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70350304 + ... + 70685984.

Almost surely, 223671601096064 is an apocalyptic number.

23671601096064 is a gapful number since it is divisible by the number (24) 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 23671601096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585997790000).

23671601096064 is an abundant number, since it is smaller than the sum of its proper divisors (39500394483936).

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

23671601096064 is a wasteful number, since it uses less digits than its factorization.

23671601096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336556 (or 336544 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 23671601096064 in words is "twenty-three trillion, six hundred seventy-one billion, six hundred one million, ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 449 818 898 1227 1347 1636 1796 2454 2694 3272 3592 4908 5388 6544 7184 9816 10776 13088 14368 19632 21552 26176 28736 39264 43104 52352 57472 78528 86208 157056 172416 183641 335681 367282 550923 671362 734564 1007043 1101846 1342724 1469128 2014086 2203692 2685448 2938256 4028172 4407384 5370896 5876512 8056344 8814768 10741792 11753024 16112688 17629536 21483584 23506048 32225376 35259072 42967168 64450752 70518144 128901504 137293529 150720769 274587058 301441538 411880587 452162307 549174116 602883076 823761174 904324614 1098348232 1205766152 1647522348 1808649228 2196696464 2411532304 3295044696 3617298456 4393392928 4823064608 6590089392 7234596912 8786785856 9646129216 13180178784 14469193824 17573571712 19292258432 26360357568 28938387648 52720715136 57876775296 61644794521 123289589042 184934383563 246579178084 369868767126 493158356168 739737534252 986316712336 1479475068504 1972633424672 2958950137008 3945266849344 5917900274016 7890533698688 11835800548032 23671601096064