Search a number
-
+
123572194292256 = 2537118129723341
BaseRepresentation
bin11100000110001101100100…
…101111101011001000100000
3121012112101102200120001121020
4130012031210233223020200
5112144101323214323011
61114452140553525440
735012540112525033
oct3406154457531040
9535471380501536
10123572194292256
1136412745180726
1211a39151a13880
1353c4a67005668
142272cd739501a
15e445e2a7e006
hex706364beb220

123572194292256 has 48 divisors (see below), whose sum is σ = 328945700317248. Its totient is φ = 40610580281600.

The previous prime is 123572194292243. The next prime is 123572194292321. The reversal of 123572194292256 is 652292491275321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 123572194292256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9064854855 + ... + 9064868486.

It is an arithmetic number, because the mean of its divisors is an integer number (6853035423276).

Almost surely, 2123572194292256 is an apocalyptic number.

123572194292256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123572194292256 is an abundant number, since it is smaller than the sum of its proper divisors (205373506024992).

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

123572194292256 is a wasteful number, since it uses less digits than its factorization.

123572194292256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129723425 (or 18129723417 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 60.

The spelling of 123572194292256 in words is "one hundred twenty-three trillion, five hundred seventy-two billion, one hundred ninety-four million, two hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 18129723341 36259446682 54389170023 72518893364 108778340046 145037786728 217556680092 290075573456 435113360184 580151146912 870226720368 1287210357211 1740453440736 2574420714422 3861631071633 5148841428844 7723262143266 10297682857688 15446524286532 20595365715376 30893048573064 41190731430752 61786097146128 123572194292256