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12194269103952 = 2432136514032641
BaseRepresentation
bin1011000101110011001100…
…0101000000011101010000
31121011202112120200002211200
42301130303011000131100
53044242330342311302
641533545255111200
72366002233110535
oct261346305003520
947152476602750
1012194269103952
113981619006a81
12144b3b8072500
136a5bb7613cc0
143022c4900d8c
151623031b681c
hexb1733140750

12194269103952 has 60 divisors (see below), whose sum is σ = 36752172166164. Its totient is φ = 3752082800640.

The previous prime is 12194269103923. The next prime is 12194269103957. The reversal of 12194269103952 is 25930196249121.

12194269103952 is a `hidden beast` number, since 1 + 2 + 194 + 2 + 69 + 1 + 0 + 395 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3508069064256 + 8686200039696 = 1872984^2 + 2947236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12194269103957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3257014449 + ... + 3257018192.

Almost surely, 212194269103952 is an apocalyptic number.

12194269103952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12194269103952 is an abundant number, since it is smaller than the sum of its proper divisors (24557903062212).

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

12194269103952 is a wasteful number, since it uses less digits than its factorization.

12194269103952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514032668 (or 6514032659 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 12194269103952 in words is "twelve trillion, one hundred ninety-four billion, two hundred sixty-nine million, one hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 6514032641 13028065282 19542097923 26056130564 39084195846 52112261128 58626293769 78168391692 84682424333 104224522256 117252587538 156336783384 169364848666 234505175076 254047272999 312673566768 338729697332 469010350152 508094545998 677459394664 762141818997 938020700304 1016189091996 1354918789328 1524283637994 2032378183992 3048567275988 4064756367984 6097134551976 12194269103952