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554213975040 = 21034511121487
BaseRepresentation
bin10000001000010011011…
…10100010010000000000
31221222112010100222220000
420010021232202100000
533040012234200130
61102334040520000
755016640026535
oct10041156422000
91858463328800
10554213975040
111a404a382350
128b4b1180000
1340353c4a44b
141cb77486d8c
15e63a418260
hex8109ba2400

554213975040 has 440 divisors, whose sum is σ = 2166551874432. Its totient is φ = 134353797120.

The previous prime is 554213975023. The next prime is 554213975059. The reversal of 554213975040 is 40579312455.

554213975040 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 139 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4501177 + ... + 4622663.

Almost surely, 2554213975040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554213975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083275937216).

554213975040 is an abundant number, since it is smaller than the sum of its proper divisors (1612337899392).

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

554213975040 is a wasteful number, since it uses less digits than its factorization.

554213975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121535 (or 121508 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 554213975040 in words is "five hundred fifty-four billion, two hundred thirteen million, nine hundred seventy-five thousand, forty".