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482940091041408 = 273271113418800029
BaseRepresentation
bin110110111001110110100000…
…0100100110000011010000000
32100022221121210022002222210200
41231303231000210300122000
51001244442301301311113
64431043340502125200
7203503161443423160
oct15563550044603200
92308847708088720
10482940091041408
1112a974819197190
12461b9037420800
13179620942aa930
1487385d47805a0
153ac75a7a3d873
hex1b73b40930680

482940091041408 has 384 divisors, whose sum is σ = 1865904901660800. Its totient is φ = 115789831741440.

The previous prime is 482940091041383. The next prime is 482940091041413. The reversal of 482940091041408 is 804140190049284.

482940091041408 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 400 + 91 + 0 + 4 + 140 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4829400910414082 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208246863 + ... + 210553166.

It is an arithmetic number, because the mean of its divisors is an integer number (4859127348075).

Almost surely, 2482940091041408 is an apocalyptic number.

482940091041408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

482940091041408 is an abundant number, since it is smaller than the sum of its proper divisors (1382964810619392).

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

482940091041408 is a wasteful number, since it uses less digits than its factorization.

482940091041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418800080 (or 418800065 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 482940091041408 in words is "four hundred eighty-two trillion, nine hundred forty billion, ninety-one million, forty-one thousand, four hundred eight".