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96451226565120 = 2938572117193
BaseRepresentation
bin10101111011100011001101…
…000110001111101000000000
3110122111122110211000100000000
4111323203031012033220000
5100120224103000040440
6541045025400000000
726213241210512400
oct2573431506175000
9418448424010000
1096451226565120
112880680aa10539
12a998a88760000
1341a840889144b
1419b639b24c800
15b23db75d9730
hex57b8cd18fa00

96451226565120 has 1080 divisors, whose sum is σ = 403502610875364. Its totient is φ = 22045806526464.

The previous prime is 96451226565103. The next prime is 96451226565121. The reversal of 96451226565120 is 2156562215469.

96451226565120 is a `hidden beast` number, since 9 + 6 + 4 + 51 + 2 + 2 + 6 + 565 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85123209298176 + 11328017266944 = 9226224^2 + 3365712^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×964512265651202 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96451226565121) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 822953244 + ... + 823070436.

Almost surely, 296451226565120 is an apocalyptic number.

96451226565120 is a gapful number since it is divisible by the number (90) 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 96451226565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201751305437682).

96451226565120 is an abundant number, since it is smaller than the sum of its proper divisors (307051384310244).

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

96451226565120 is an frugal number, since it uses more digits than its factorization.

96451226565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117254 (or 117210 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 96451226565120 in words is "ninety-six trillion, four hundred fifty-one billion, two hundred twenty-six million, five hundred sixty-five thousand, one hundred twenty".