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12801201535416 = 2337756791006853
BaseRepresentation
bin1011101001001000001100…
…0100011111100110111000
31200022210010202010011111210
42322102003010133212320
53134213330043113131
643120442451323120
72460566464466160
oct272220304374670
950283122104453
1012801201535416
114095a605a3978
121528b605b04a0
1371b1c057a558
1432381d7535a0
15172ec6953146
hexba48311f9b8

12801201535416 has 64 divisors (see below), whose sum is σ = 36575381145600. Its totient is φ = 3657434191488.

The previous prime is 12801201535411. The next prime is 12801201535417. The reversal of 12801201535416 is 61453510210821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801201535411) 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, 12210646 + ... + 13217498.

It is an arithmetic number, because the mean of its divisors is an integer number (571490330400).

Almost surely, 212801201535416 is an apocalyptic number.

It is an amenable number.

12801201535416 is an abundant number, since it is smaller than the sum of its proper divisors (23774179610184).

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

12801201535416 is a wasteful number, since it uses less digits than its factorization.

12801201535416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082548 (or 1082544 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 12801201535416 in words is "twelve trillion, eight hundred one billion, two hundred one million, five hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 75679 151358 227037 302716 454074 529753 605432 908148 1006853 1059506 1589259 1816296 2013706 2119012 3020559 3178518 4027412 4238024 6041118 6357036 7047971 8054824 12082236 12714072 14095942 21143913 24164472 28191884 42287826 56383768 84575652 169151304 76197628187 152395256374 228592884561 304790512748 457185769122 533383397309 609581025496 914371538244 1066766794618 1600150191927 1828743076488 2133533589236 3200300383854 4267067178472 6400600767708 12801201535416