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96947540496 = 2438314
BaseRepresentation
bin101101001001010000…
…1100001001000010000
3100021020102220100000000
41122102201201020100
53042022032243441
6112312002130000
710001310332442
oct1322241411020
9307212810000
1096947540496
113812a3a50a4
1216957650900
1391b02bb4a1
1449998c0492
1527c62822b6
hex1692861210

96947540496 has 225 divisors, whose sum is σ = 291130780655. Its totient is φ = 31273400160.

The previous prime is 96947540479. The next prime is 96947540509. The reversal of 96947540496 is 69404574969.

The square root of 96947540496 is 311364.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

96947540496 is a `hidden beast` number, since 9 + 6 + 9 + 47 + 540 + 49 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3127340001 + ... + 3127340031.

Almost surely, 296947540496 is an apocalyptic number.

96947540496 is the 311364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96947540496

96947540496 is an abundant number, since it is smaller than the sum of its proper divisors (194183240159).

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

96947540496 is an frugal number, since it uses more digits than its factorization.

96947540496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 96947540496 in words is "ninety-six billion, nine hundred forty-seven million, five hundred forty thousand, four hundred ninety-six".