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545813940672 = 26367111322931
BaseRepresentation
bin1111111000101010000…
…10111100100111000000
31221011211201020001000000
413330111002330213000
532420311332100142
61054424331000000
754301530642450
oct7742502744700
91834751201000
10545813940672
111a0529816190
1289947b99000
133c615883200
141c5bba09d60
15e2e7c4e14c
hex7f150bc9c0

545813940672 has 2352 divisors, whose sum is σ = 2341086382080. Its totient is φ = 122276044800.

The previous prime is 545813940653. The next prime is 545813940713. The reversal of 545813940672 is 276049318545.

It is a happy number.

545813940672 is a `hidden beast` number, since 54 + 58 + 139 + 406 + 7 + 2 = 666.

It is a super-3 number, since 3×5458139406723 (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17606901297 + ... + 17606901327.

It is a 1-persistent number, because it is pandigital, but 2⋅545813940672 = 1091627881344 is not.

Almost surely, 2545813940672 is an apocalyptic number.

545813940672 is a gapful number since it is divisible by the number (52) 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 545813940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170543191040).

545813940672 is an abundant number, since it is smaller than the sum of its proper divisors (1795272441408).

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

545813940672 is a wasteful number, since it uses less digits than its factorization.

545813940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 545813940672 in words is "five hundred forty-five billion, eight hundred thirteen million, nine hundred forty thousand, six hundred seventy-two".