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1122296442480 = 243251558745059
BaseRepresentation
bin10000010101001110000…
…101001010111001110000
310222021211202202101211200
4100111032011022321300
5121341430342124410
62215324215411200
7144040360235013
oct20251605127160
93867752671750
101122296442480
113a2a660a1264
12161612983b00
1381aa81809c5
143c46877337a
151e2d81393c0
hex1054e14ae70

1122296442480 has 60 divisors (see below), whose sum is σ = 3769045555080. Its totient is φ = 299279051136.

The previous prime is 1122296442451. The next prime is 1122296442497. The reversal of 1122296442480 is 842446922211.

1122296442480 is a `hidden beast` number, since 1 + 122 + 2 + 9 + 6 + 4 + 42 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779371810 + ... + 779373249.

It is an arithmetic number, because the mean of its divisors is an integer number (62817425918).

Almost surely, 21122296442480 is an apocalyptic number.

1122296442480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122296442480 is an abundant number, since it is smaller than the sum of its proper divisors (2646749112600).

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

1122296442480 is a wasteful number, since it uses less digits than its factorization.

1122296442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558745078 (or 1558745069 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1122296442480 in words is "one trillion, one hundred twenty-two billion, two hundred ninety-six million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1558745059 3117490118 4676235177 6234980236 7793725295 9352470354 12469960472 14028705531 15587450590 18704940708 23381175885 24939920944 28057411062 31174901180 37409881416 46762351770 56114822124 62349802360 70143527655 74819762832 93524703540 112229644248 124699604720 140287055310 187049407080 224459288496 280574110620 374098814160 561148221240 1122296442480