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123532053541152 = 25316713099588239
BaseRepresentation
bin11100000101101000001100…
…001010110111000100100000
3121012101112211012122121212220
4130011220030022313010200
5112142422121201304102
61114421501510151040
735006616306005124
oct3405501412670440
9535345735577786
10123532053541152
11363a7716828263
1211a3140a952480
1353c103aa41c29
142270daa229584
15e43543a431bc
hex705a0c2b7120

123532053541152 has 96 divisors (see below), whose sum is σ = 326238845184000. Its totient is φ = 40927585913088.

The previous prime is 123532053541147. The next prime is 123532053541187. The reversal of 123532053541152 is 251145350235321.

It is a tau number, because it is divible by the number of its divisors (96).

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, 209709049 + ... + 210297287.

It is an arithmetic number, because the mean of its divisors is an integer number (3398321304000).

Almost surely, 2123532053541152 is an apocalyptic number.

123532053541152 is a gapful number since it is divisible by the number (12) 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 123532053541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163119422592000).

123532053541152 is an abundant number, since it is smaller than the sum of its proper divisors (202706791642848).

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

123532053541152 is a wasteful number, since it uses less digits than its factorization.

123532053541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601518 (or 601510 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 123532053541152 in words is "one hundred twenty-three trillion, five hundred thirty-two billion, fifty-three million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 13099 16032 26198 39297 52396 78594 104792 157188 209584 314376 419168 588239 628752 1176478 1257504 1764717 2187533 2352956 3529434 4375066 4705912 6562599 7058868 8750132 9411824 13125198 14117736 17500264 18823648 26250396 28235472 35000528 52500792 56470944 70001056 98235913 105001584 196471826 210003168 294707739 392943652 589415478 785887304 1178830956 1571774608 2357661912 3143549216 4715323824 7705342661 9430647648 15410685322 23116027983 30821370644 46232055966 61642741288 92464111932 123285482576 184928223864 246570965152 369856447728 739712895456 1286792224387 2573584448774 3860376673161 5147168897548 7720753346322 10294337795096 15441506692644 20588675590192 30883013385288 41177351180384 61766026770576 123532053541152