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96448008691440 = 243257191007184719
BaseRepresentation
bin10101111011100000001101…
…010011000001111011110000
3110122111100011120000102011100
4111323200031103001323300
5100120201010211111230
6541043334205444400
726213065365160440
oct2573401523017360
9418440146012140
1096448008691440
112880540956a3aa
12a99832ab70700
1341a8015005293
1419b6173b30120
15b23c79d5a660
hex57b80d4c1ef0

96448008691440 has 240 divisors, whose sum is σ = 389659624473600. Its totient is φ = 20884982312448.

The previous prime is 96448008691409. The next prime is 96448008691471. The reversal of 96448008691440 is 4419680084469.

96448008691440 is a `hidden beast` number, since 9 + 6 + 4 + 480 + 0 + 8 + 6 + 9 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96448008691409) and next prime (96448008691471).

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

It is a super-3 number, since 3×964480086914403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503496600 + ... + 503688119.

It is an arithmetic number, because the mean of its divisors is an integer number (1623581768640).

Almost surely, 296448008691440 is an apocalyptic number.

96448008691440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96448008691440 is an abundant number, since it is smaller than the sum of its proper divisors (293211615782160).

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

96448008691440 is a wasteful number, since it uses less digits than its factorization.

96448008691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007184764 (or 1007184755 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 96448008691440 in words is "ninety-six trillion, four hundred forty-eight billion, eight million, six hundred ninety-one thousand, four hundred forty".