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96950652480 = 2632511192347149
BaseRepresentation
bin101101001001010110…
…1011000111001000000
3100021020122202102211200
41122102231120321000
53042023331334410
6112312152541200
710001345643333
oct1322255307100
9307218672750
1096950652480
1138131130190
12169586b1800
1391b0b3aab6
14499a09061a
1527c66993c0
hex1692b58e40

96950652480 has 1344 divisors, whose sum is σ = 410821632000. Its totient is φ = 20705034240.

The previous prime is 96950652479. The next prime is 96950652523. The reversal of 96950652480 is 8425605969.

It is a happy number.

96950652480 is a `hidden beast` number, since 9 + 6 + 9 + 506 + 52 + 4 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 650675446 + ... + 650675594.

Almost surely, 296950652480 is an apocalyptic number.

96950652480 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 96950652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816000).

96950652480 is an abundant number, since it is smaller than the sum of its proper divisors (313870979520).

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

96950652480 is a wasteful number, since it uses less digits than its factorization.

96950652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 96950652480 in words is "ninety-six billion, nine hundred fifty million, six hundred fifty-two thousand, four hundred eighty".