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10412977936 = 249722632
BaseRepresentation
bin10011011001010100…
…10110111100010000
3222212200212002100111
421230222112330100
5132311210243221
64441134131104
7516020565154
oct115452267420
928780762314
1010412977936
114463944499
122027350a94
13c9c423c0a
1470ad45064
1540e286be1
hex26ca96f10

10412977936 has 45 divisors (see below), whose sum is σ = 20463085461. Its totient is φ = 5133221376.

The previous prime is 10412977871. The next prime is 10412977943. The reversal of 10412977936 is 63977921401.

The square root of 10412977936 is 102044.

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., 4675824400 + 5737153536 = 68380^2 + 75744^2 .

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 10412977936.

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, 39592941 + ... + 39593203.

Almost surely, 210412977936 is an apocalyptic number.

10412977936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10412977936 is the 102044-th square number.

It is an amenable number.

10412977936 is a deficient number, since it is larger than the sum of its proper divisors (10050107525).

10412977936 is an frugal number, since it uses more digits than its factorization.

10412977936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 10412977936 by its sum of digits (49), we get a square (510235918864 = 7143082).

The spelling of 10412977936 in words is "ten billion, four hundred twelve million, nine hundred seventy-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 97 194 263 388 526 776 1052 1552 2104 4208 9409 18818 25511 37636 51022 69169 75272 102044 138338 150544 204088 276676 408176 553352 1106704 2474567 4949134 6709393 9898268 13418786 19796536 26837572 39593072 53675144 107350288 650811121 1301622242 2603244484 5206488968 10412977936