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12795214320 = 2432572538733
BaseRepresentation
bin10111110101010011…
…10111100111110000
31020000201110020022200
423322221313213300
5202201033324240
65513353503200
7632035345560
oct137251674760
936021406280
1012795214320
115476623999
122591111b00
13128bb30345
1489549cda0
154ed49e930
hex2faa779f0

12795214320 has 120 divisors (see below), whose sum is σ = 49109270496. Its totient is φ = 2924619264.

The previous prime is 12795214309. The next prime is 12795214321. The reversal of 12795214320 is 2341259721.

12795214320 is a `hidden beast` number, since 1 + 2 + 79 + 521 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×127952143203 (a number of 31 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (12795214321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264327 + ... + 1274406.

Almost surely, 212795214320 is an apocalyptic number.

12795214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12795214320 is an abundant number, since it is smaller than the sum of its proper divisors (36314056176).

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

12795214320 is a wasteful number, since it uses less digits than its factorization.

12795214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538759 (or 2538750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12795214320 in words is "twelve billion, seven hundred ninety-five million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2538733 5077466 7616199 10154932 12693665 15232398 17771131 20309864 22848597 25387330 30464796 35542262 38080995 40619728 45697194 50774660 53313393 60929592 71084524 76161990 88855655 91394388 101549320 106626786 114242985 121859184 142169048 152323980 159940179 177711310 182788776 203098640 213253572 228485970 266566965 284338096 304647960 319880358 355422620 365577552 426507144 456971940 533133930 609295920 639760716 710845240 799700895 853014288 913943880 1066267860 1279521432 1421690480 1599401790 1827887760 2132535720 2559042864 3198803580 4265071440 6397607160 12795214320