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96574805486640 = 2432513102731004363
BaseRepresentation
bin10101111101010110010010…
…111110011010110000110000
3110122221110110020112222212100
4111331112102332122300300
5100124240200201033030
6541221504141100400
726225204465146335
oct2575262276326060
9418843406488770
1096574805486640
1128854165aa7338
12a9b8a16b57700
1341b6c71388650
1419bc361a1898c
15b271eb88b360
hex57d592f9ac30

96574805486640 has 240 divisors, whose sum is σ = 349313227335072. Its totient is φ = 23769922093056.

The previous prime is 96574805486531. The next prime is 96574805486647. The reversal of 96574805486640 is 4668450847569.

It is a happy number.

96574805486640 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 4 + 80 + 5 + 486 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96574805486647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95653099 + ... + 96657461.

Almost surely, 296574805486640 is an apocalyptic number.

96574805486640 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 96574805486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174656613667536).

96574805486640 is an abundant number, since it is smaller than the sum of its proper divisors (252738421848432).

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

96574805486640 is a wasteful number, since it uses less digits than its factorization.

96574805486640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014668 (or 1014659 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 96574805486640 in words is "ninety-six trillion, five hundred seventy-four billion, eight hundred five million, four hundred eighty-six thousand, six hundred forty".