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12778002082920 = 2335293671839679
BaseRepresentation
bin1011100111110001110001…
…0001100110110001101000
31200020120020221020212112110
42321330130101212301220
53133323322013123140
643102044430442320
72456115542422344
oct271743421466150
950216227225473
1012778002082920
114087136065938
1215245670633a0
13718c64096379
1432265c586624
151725b9d96380
hexb9f1c466c68

12778002082920 has 64 divisors (see below), whose sum is σ = 39655868544000. Its totient is φ = 3289968351488.

The previous prime is 12778002082877. The next prime is 12778002082927. The reversal of 12778002082920 is 2928020087721.

12778002082920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127780020829202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12778002082920.

It is not an unprimeable number, because it can be changed into a prime (12778002082927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835916360 + ... + 1835923319.

It is an arithmetic number, because the mean of its divisors is an integer number (619622946000).

Almost surely, 212778002082920 is an apocalyptic number.

12778002082920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12778002082920 is an abundant number, since it is smaller than the sum of its proper divisors (26877866461080).

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

12778002082920 is a wasteful number, since it uses less digits than its factorization.

12778002082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671839722 (or 3671839718 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12778002082920 in words is "twelve trillion, seven hundred seventy-eight billion, two million, eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3671839679 7343679358 11015519037 14687358716 18359198395 22031038074 29374717432 36718396790 44062076148 55077595185 73436793580 88124152296 106483350691 110155190370 146873587160 212966701382 220310380740 319450052073 425933402764 440620761480 532416753455 638900104146 851866805528 1064833506910 1277800208292 1597250260365 2129667013820 2555600416584 3194500520730 4259334027640 6389001041460 12778002082920