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554671942440 = 23357211417379
BaseRepresentation
bin10000001001001010000…
…01100010101100101000
31222000201001010011001120
420010211001202230220
533041432004124230
61102451320415240
755034200501500
oct10044501425450
91860631104046
10554671942440
111a4264940000
128b5ba617520
13403c7aa6785
141cbbc21aa00
15e66572c310
hex8125062b28

554671942440 has 960 divisors, whose sum is σ = 2260446264000. Its totient is φ = 108190494720.

The previous prime is 554671942411. The next prime is 554671942441. The reversal of 554671942440 is 44249176455.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (554671942441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1463514171 + ... + 1463514549.

It is an arithmetic number, because the mean of its divisors is an integer number (2354631525).

Almost surely, 2554671942440 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 554671942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130223132000).

554671942440 is an abundant number, since it is smaller than the sum of its proper divisors (1705774321560).

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

554671942440 is a wasteful number, since it uses less digits than its factorization.

554671942440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 554671942440 in words is "five hundred fifty-four billion, six hundred seventy-one million, nine hundred forty-two thousand, four hundred forty".