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2116455366240 = 253251469760671
BaseRepresentation
bin11110110011000110100…
…100011111111001100000
321111022221102011102001200
4132303012210133321200
5234134000033204430
64300141451401200
7305623510533165
oct36630644377140
97438842142050
102116455366240
11746646973116
122a2224753200
131247722853c7
147461913a06c
153a0c1bab460
hex1ecc691fe60

2116455366240 has 72 divisors (see below), whose sum is σ = 7222403942208. Its totient is φ = 564388097280.

The previous prime is 2116455366217. The next prime is 2116455366257. The reversal of 2116455366240 is 426635546112.

2116455366240 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 45 + 5 + 366 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734878896 + ... + 734881775.

It is an arithmetic number, because the mean of its divisors is an integer number (100311165864).

Almost surely, 22116455366240 is an apocalyptic number.

2116455366240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116455366240 is an abundant number, since it is smaller than the sum of its proper divisors (5105948575968).

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

2116455366240 is a wasteful number, since it uses less digits than its factorization.

2116455366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469760692 (or 1469760681 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2116455366240 in words is "two trillion, one hundred sixteen billion, four hundred fifty-five million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1469760671 2939521342 4409282013 5879042684 7348803355 8818564026 11758085368 13227846039 14697606710 17637128052 22046410065 23516170736 26455692078 29395213420 35274256104 44092820130 47032341472 52911384156 58790426840 66139230195 70548512208 88185640260 105822768312 117580853680 132278460390 141097024416 176371280520 211645536624 235161707360 264556920780 352742561040 423291073248 529113841560 705485122080 1058227683120 2116455366240