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11942756352 = 219322531
BaseRepresentation
bin10110001111101100…
…00000000000000000
31010211022101212211100
423013312000000000
5143424321200402
65253022414400
7601644516432
oct130766000000
933738355740
1011942756352
11507941367a
122393731400
131184341347
1481419a652
1549d71471c
hex2c7d80000

11942756352 has 120 divisors (see below), whose sum is σ = 34514894700. Its totient is φ = 3979345920.

The previous prime is 11942756327. The next prime is 11942756359. The reversal of 11942756352 is 25365724911.

11942756352 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 2 + 7 + 5 + 635 + 2 = 666.

It is a super-3 number, since 3×119427563523 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11942756298 and 11942756307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11942756359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4717327 + ... + 4719857.

Almost surely, 211942756352 is an apocalyptic number.

11942756352 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 11942756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257447350).

11942756352 is an abundant number, since it is smaller than the sum of its proper divisors (22572138348).

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

11942756352 is an frugal number, since it uses more digits than its factorization.

11942756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2536 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 11942756352 in words is "eleven billion, nine hundred forty-two million, seven hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2531 3072 4096 4608 5062 6144 7593 8192 9216 10124 12288 15186 16384 18432 20248 22779 24576 30372 32768 36864 40496 45558 49152 60744 65536 73728 80992 91116 98304 121488 131072 147456 161984 182232 196608 242976 262144 294912 323968 364464 393216 485952 524288 589824 647936 728928 786432 971904 1179648 1295872 1457856 1572864 1943808 2359296 2591744 2915712 3887616 4718592 5183488 5831424 7775232 10366976 11662848 15550464 20733952 23325696 31100928 41467904 46651392 62201856 82935808 93302784 124403712 165871616 186605568 248807424 331743232 373211136 497614848 663486464 746422272 995229696 1326972928 1492844544 1990459392 2985689088 3980918784 5971378176 11942756352