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12820087563156 = 22324172471198523
BaseRepresentation
bin1011101010001110100011…
…0000111110001110010100
31200101120212221111210002200
42322203220300332032110
53140021014404010111
643133244504404500
72462135502204426
oct272435060761624
950346787453080
1012820087563156
1140a2a72235065
121530751476730
1371cc102218b3
143246d1b00816
1517372e9c8256
hexba8e8c3e394

12820087563156 has 72 divisors (see below), whose sum is σ = 33201339260544. Its totient is φ = 4168555397760.

The previous prime is 12820087563139. The next prime is 12820087563163. The reversal of 12820087563156 is 65136578002821.

12820087563156 is a `hidden beast` number, since 1 + 2 + 8 + 20 + 0 + 8 + 7 + 563 + 1 + 56 = 666.

12820087563156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10097311 + ... + 11295833.

It is an arithmetic number, because the mean of its divisors is an integer number (461129711952).

Almost surely, 212820087563156 is an apocalyptic number.

It is an amenable number.

12820087563156 is an abundant number, since it is smaller than the sum of its proper divisors (20381251697388).

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

12820087563156 is a wasteful number, since it uses less digits than its factorization.

12820087563156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205821 (or 1205816 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 12820087563156 in words is "twelve trillion, eight hundred twenty billion, eighty-seven million, five hundred sixty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7247 14494 21741 28988 43482 65223 86964 130446 260892 297127 594254 891381 1188508 1198523 1782762 2397046 2674143 3565524 3595569 4794092 5348286 7191138 10696572 10786707 14382276 21573414 43146828 49139443 98278886 147418329 196557772 294836658 442254987 589673316 884509974 1769019948 8685696181 17371392362 26057088543 34742784724 52114177086 78171265629 104228354172 156342531258 312685062516 356113543421 712227086842 1068340630263 1424454173684 2136681260526 3205021890789 4273362521052 6410043781578 12820087563156