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12604415203152 = 243287530661133
BaseRepresentation
bin1011011101101011000110…
…1100001101011101010000
31122121222012100220201101100
42313122301230031131100
53123002320243000102
642450215521304400
72440432105325643
oct267326154153520
948558170821340
1012604415203152
11401a558870923
1214b69a1195100
1370578bca4026
143180b23b7a5a
1516cd0a6cba1c
hexb76b1b0d750

12604415203152 has 30 divisors (see below), whose sum is σ = 35274856437002. Its totient is φ = 4201471734336.

The previous prime is 12604415203139. The next prime is 12604415203201. The reversal of 12604415203152 is 25130251440621.

12604415203152 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 441 + 5 + 203 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8517969125136 + 4086446078016 = 2918556^2 + 2021496^2 .

It is a super-2 number, since 2×126044152031522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43765330423 + ... + 43765330710.

Almost surely, 212604415203152 is an apocalyptic number.

12604415203152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12604415203152 is an abundant number, since it is smaller than the sum of its proper divisors (22670441233850).

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

12604415203152 is a wasteful number, since it uses less digits than its factorization.

12604415203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87530661147 (or 87530661138 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12604415203152 its reverse (25130251440621), we get a palindrome (37734666643773).

The spelling of 12604415203152 in words is "twelve trillion, six hundred four billion, four hundred fifteen million, two hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 87530661133 175061322266 262591983399 350122644532 525183966798 700245289064 787775950197 1050367933596 1400490578128 1575551900394 2100735867192 3151103800788 4201471734384 6302207601576 12604415203152