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12352053605616 = 24321671021503077
BaseRepresentation
bin1011001110111110111111…
…0001000111010011110000
31121201211210212001021110200
42303233233301013103300
53104334001210334431
642134242144355200
72413256255205114
oct263575761072360
947654725037420
1012352053605616
113a3252727447a
121475ab1915b00
136b7a41883b5a
14309bb20a1744
1516648a3c4ee6
hexb3befc474f0

12352053605616 has 120 divisors (see below), whose sum is σ = 34809721556064. Its totient is φ = 4088679759360.

The previous prime is 12352053605611. The next prime is 12352053605623. The reversal of 12352053605616 is 61650635025321.

12352053605616 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 20 + 5 + 3 + 6 + 0 + 5 + 616 = 666.

It is a super-2 number, since 2×123520536056162 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12352053605611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24301470 + ... + 24804546.

Almost surely, 212352053605616 is an apocalyptic number.

12352053605616 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 12352053605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404860778032).

12352053605616 is an abundant number, since it is smaller than the sum of its proper divisors (22457667950448).

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

12352053605616 is a wasteful number, since it uses less digits than its factorization.

12352053605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504279 (or 504270 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 12352053605616 in words is "twelve trillion, three hundred fifty-two billion, fifty-three million, six hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1021 1336 1503 2004 2042 2672 3006 3063 4008 4084 6012 6126 8016 8168 9189 12024 12252 16336 18378 24048 24504 36756 49008 73512 147024 170507 341014 503077 511521 682028 1006154 1023042 1364056 1509231 1534563 2012308 2046084 2728112 3018462 3069126 4024616 4092168 4527693 6036924 6138252 8049232 8184336 9055386 12073848 12276504 18110772 24147696 24553008 36221544 72443088 84013859 168027718 252041577 336055436 504083154 513641617 672110872 756124731 1008166308 1027283234 1344221744 1512249462 1540924851 2016332616 2054566468 3024498924 3081849702 4032665232 4109132936 4622774553 6048997848 6163699404 8218265872 9245549106 12097995696 12327398808 18491098212 24654797616 36982196424 73964392848 85778150039 171556300078 257334450117 343112600156 514668900234 686225200312 772003350351 1029337800468 1372450400624 1544006700702 2058675600936 3088013401404 4117351201872 6176026802808 12352053605616