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96726329280 = 2633573127257
BaseRepresentation
bin101101000010101010…
…1101010011111000000
3100020200000122122021000
41122011111222133000
53041043420014110
6112234020532000
76662653143000
oct1320525523700
9306600578230
1096726329280
1138026544909
12168b5551000
139176518689
14497837a000
1527b1b381c0
hex168556a7c0

96726329280 has 896 divisors, whose sum is σ = 402628608000. Its totient is φ = 21849440256.

The previous prime is 96726329279. The next prime is 96726329291. The reversal of 96726329280 is 8292362769.

It is a happy number.

96726329280 is a `hidden beast` number, since 96 + 7 + 263 + 292 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376366912 + ... + 376367168.

Almost surely, 296726329280 is an apocalyptic number.

96726329280 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 96726329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201314304000).

96726329280 is an abundant number, since it is smaller than the sum of its proper divisors (305902278720).

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

96726329280 is a wasteful number, since it uses less digits than its factorization.

96726329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96726329280 in words is "ninety-six billion, seven hundred twenty-six million, three hundred twenty-nine thousand, two hundred eighty".