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5754149222976 = 263571121983277
BaseRepresentation
bin101001110111011111000…
…0001010011101001000000
3202101002110112221001200000
41103232332001103221000
51223233444200113401
620123230351400000
71132503116250330
oct123567601235100
922332415831600
105754149222976
111919359253900
1278b238b23000
133297c9aab93b
1415c7064970c0
159ea2a56d186
hex53bbe053a40

5754149222976 has 2016 divisors, whose sum is σ = 22972105927680. Its totient is φ = 1393812541440.

The previous prime is 5754149222953. The next prime is 5754149223019. The reversal of 5754149222976 is 6792229414575.

It is a happy number.

5754149222976 is a `hidden beast` number, since 5 + 7 + 54 + 1 + 492 + 2 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×57541492229762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20773101750 + ... + 20773102026.

Almost surely, 25754149222976 is an apocalyptic number.

5754149222976 is a gapful number since it is divisible by the number (56) 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 5754149222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486052963840).

5754149222976 is an abundant number, since it is smaller than the sum of its proper divisors (17217956704704).

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

5754149222976 is a wasteful number, since it uses less digits than its factorization.

5754149222976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 5754149222976 in words is "five trillion, seven hundred fifty-four billion, one hundred forty-nine million, two hundred twenty-two thousand, nine hundred seventy-six".