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12995366820408 = 2332725784457977
BaseRepresentation
bin1011110100011011100000…
…1110010001101000111000
31201000100022110100121201100
42331012320032101220320
53200404002401223113
643345553351251400
72510612206255230
oct275067016215070
951010273317640
1012995366820408
114160338866355
12155a70a079b60
137335c4b21b2b
1432cd9c96ccc0
1517808ca3cd73
hexbd1b8391a38

12995366820408 has 48 divisors (see below), whose sum is σ = 40223754445680. Its totient is φ = 3712961948544.

The previous prime is 12995366820407. The next prime is 12995366820427. The reversal of 12995366820408 is 80402866359921.

12995366820408 is a `hidden beast` number, since 1 + 2 + 9 + 95 + 3 + 66 + 82 + 0 + 408 = 666.

It is a super-2 number, since 2×129953668204082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12995366820407) 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, 12892228485 + ... + 12892229492.

It is an arithmetic number, because the mean of its divisors is an integer number (837994884285).

Almost surely, 212995366820408 is an apocalyptic number.

12995366820408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12995366820408 is an abundant number, since it is smaller than the sum of its proper divisors (27228387625272).

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

12995366820408 is a wasteful number, since it uses less digits than its factorization.

12995366820408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784457996 (or 25784457989 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12995366820408 in words is "twelve trillion, nine hundred ninety-five billion, three hundred sixty-six million, eight hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 25784457977 51568915954 77353373931 103137831908 154706747862 180491205839 206275663816 232060121793 309413495724 360982411678 464120243586 541473617517 618826991448 721964823356 928240487172 1082947235034 1443929646712 1624420852551 1856480974344 2165894470068 3248841705102 4331788940136 6497683410204 12995366820408