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12568045980736 = 2650328812
BaseRepresentation
bin1011011011100011100111…
…1010101000110001000000
31122111111022201210210101201
42312320321322220301000
53121403324232340421
642421403002510544
72435003616124351
oct266707172506100
948444281723351
1012568045980736
114006095342814
1214ab931205454
137022141b978c
143164220cbd28
1516bdcc835b91
hexb6e39ea8c40

12568045980736 has 63 divisors (see below), whose sum is σ = 25017793761493. Its totient is φ = 6264411253760.

The previous prime is 12568045980713. The next prime is 12568045980761. The reversal of 12568045980736 is 63708954086521.

The square root of 12568045980736 is 3545144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2204797340736 + 10363248640000 = 1484856^2 + 3219200^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14265659016 + ... + 14265659896.

It is a 1-persistent number, because it is pandigital, but 2⋅12568045980736 = 25136091961472 is not.

Almost surely, 212568045980736 is an apocalyptic number.

12568045980736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12568045980736 is the 3545144-th square number.

It is an amenable number.

12568045980736 is a deficient number, since it is larger than the sum of its proper divisors (12449747780757).

12568045980736 is an frugal number, since it uses more digits than its factorization.

12568045980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

Multiplying 12568045980736 by its sum of digits (64), we get a square (804354942767104 = 283611522).

12568045980736 divided by its sum of digits (64) gives a square (196375718449 = 4431432).

The spelling of 12568045980736 in words is "twelve trillion, five hundred sixty-eight billion, forty-five million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 503 881 1006 1762 2012 3524 4024 7048 8048 14096 16096 28192 32192 56384 253009 443143 506018 776161 886286 1012036 1552322 1772572 2024072 3104644 3545144 4048144 6209288 7090288 8096288 12418576 14180576 16192576 24837152 28361152 49674304 222900929 390408983 445801858 780817966 891603716 1561635932 1783207432 3123271864 3566414864 6246543728 7132829728 12493087456 14265659456 24986174912 196375718449 392751436898 785502873796 1571005747592 3142011495184 6284022990368 12568045980736