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9054977253504 = 273713418376147
BaseRepresentation
bin1000001111000100011010…
…1100111110000010000000
31012001122110221012200012120
42003301012230332002000
52141324043134103004
631131444335524240
71623125530500210
oct203610654760200
935048427180176
109054977253504
112981215662426
121022ab9689680
13508b5ab55a20
14234398476240
1510a819ed33d9
hex83c46b3e080

9054977253504 has 512 divisors, whose sum is σ = 30690592450560. Its totient is φ = 2301777838080.

The previous prime is 9054977253503. The next prime is 9054977253529. The reversal of 9054977253504 is 4053527794509.

It is a super-2 number, since 2×90549772535042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9054977253503) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 118876359 + ... + 118952505.

It is an arithmetic number, because the mean of its divisors is an integer number (59942563380).

Almost surely, 29054977253504 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 9054977253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345296225280).

9054977253504 is an abundant number, since it is smaller than the sum of its proper divisors (21635615197056).

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

9054977253504 is a wasteful number, since it uses less digits than its factorization.

9054977253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76308 (or 76296 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 60.

The spelling of 9054977253504 in words is "nine trillion, fifty-four billion, nine hundred seventy-seven million, two hundred fifty-three thousand, five hundred four".