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12587942416 = 247240072
BaseRepresentation
bin10111011100100110…
…01100001000010000
31012111021102201201111
423232103030020100
5201240003124131
65441031143104
7623640513400
oct135623141020
935437381644
1012587942416
11537a6244a5
122533814a94
131257bcb14a
14875b46800
154da1aaab1
hex2ee4cc210

12587942416 has 45 divisors (see below), whose sum is σ = 28378120719. Its totient is φ = 5393486112.

The previous prime is 12587942387. The next prime is 12587942441. The reversal of 12587942416 is 61424978521.

The square root of 12587942416 is 112196.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12587942416.

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, 3139485 + ... + 3143491.

Almost surely, 212587942416 is an apocalyptic number.

12587942416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12587942416 is the 112196-th square number.

It is an amenable number.

12587942416 is an abundant number, since it is smaller than the sum of its proper divisors (15790178303).

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

12587942416 is an frugal number, since it uses more digits than its factorization.

12587942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 4016 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 12587942416 by its sum of digits (49), we get a square (616809178384 = 7853722).

12587942416 divided by its sum of digits (49) gives a square (256896784 = 160282).

The spelling of 12587942416 in words is "twelve billion, five hundred eighty-seven million, nine hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4007 8014 16028 28049 32056 56098 64112 112196 196343 224392 392686 448784 785372 1570744 3141488 16056049 32112098 64224196 112392343 128448392 224784686 256896784 449569372 786746401 899138744 1573492802 1798277488 3146985604 6293971208 12587942416