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12663414960 = 2435721076821
BaseRepresentation
bin10111100101100110…
…00110000010110000
31012200112110010120220
423302303012002300
5201413313234320
65452324533040
7625545152100
oct136263060260
935615403526
1012663414960
1154091930a9
122554b51180
13126a734861
14881b91200
154e1b17e40
hex2f2cc60b0

12663414960 has 120 divisors (see below), whose sum is σ = 45665867376. Its totient is φ = 2894492160.

The previous prime is 12663414941. The next prime is 12663414979. The reversal of 12663414960 is 6941436621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12663414941) and next prime (12663414979).

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 526651 + ... + 550170.

Almost surely, 212663414960 is an apocalyptic number.

12663414960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12663414960 is an abundant number, since it is smaller than the sum of its proper divisors (33002452416).

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

12663414960 is a wasteful number, since it uses less digits than its factorization.

12663414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076851 (or 1076838 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 12663414960 in words is "twelve billion, six hundred sixty-three million, four hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1076821 2153642 3230463 4307284 5384105 6460926 7537747 8614568 10768210 12921852 15075494 16152315 17229136 21536420 22613241 25843704 30150988 32304630 37688735 43072840 45226482 51687408 52764229 60301976 64609260 75377470 86145680 90452964 105528458 113066205 120603952 129218520 150754940 158292687 180905928 211056916 226132410 258437040 263821145 301509880 316585374 361811856 422113832 452264820 527642290 603019760 633170748 791463435 844227664 904529640 1055284580 1266341496 1582926870 1809059280 2110569160 2532682992 3165853740 4221138320 6331707480 12663414960