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1054928931840 = 210335719181317
BaseRepresentation
bin11110101100111101010…
…10100000110000000000
310201211221210220021111000
433112132222200300000
5114240443301304330
62124343324052000
7136134056653320
oct17263652406000
93654853807430
101054928931840
11377435975433
12150551694000
1378630243384
14390b7619280
151c693bc5560
hexf59eaa0c00

1054928931840 has 1408 divisors, whose sum is σ = 4549331404800. Its totient is φ = 226457026560.

The previous prime is 1054928931743. The next prime is 1054928931853. The reversal of 1054928931840 is 481398294501.

It is a happy number.

1054928931840 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 289 + 318 + 40 = 666.

It is a super-2 number, since 2×10549289318402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 3327851362 + ... + 3327851678.

Almost surely, 21054928931840 is an apocalyptic number.

1054928931840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054928931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274665702400).

1054928931840 is an abundant number, since it is smaller than the sum of its proper divisors (3494402472960).

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

1054928931840 is a wasteful number, since it uses less digits than its factorization.

1054928931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1054928931840 in words is "one trillion, fifty-four billion, nine hundred twenty-eight million, nine hundred thirty-one thousand, eight hundred forty".