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96794945104 = 241121331971279
BaseRepresentation
bin101101000100101101…
…1011010011001010000
3100020211210202200110211
41122021123122121100
53041214001220404
6112244511333504
76664445313064
oct1321133323120
9306753680424
1096794945104
113806124aa00
1216914521294
1391877c1160
14498351baa4
1527b7b8db04
hex16896da650

96794945104 has 240 divisors, whose sum is σ = 231700725760. Its totient is φ = 38867558400.

The previous prime is 96794945087. The next prime is 96794945111. The reversal of 96794945104 is 40154949769.

It is a super-2 number, since 2×967949451042 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 75679537 + ... + 75680815.

Almost surely, 296794945104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96794945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115850362880).

96794945104 is an abundant number, since it is smaller than the sum of its proper divisors (134905780656).

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

96794945104 is a wasteful number, since it uses less digits than its factorization.

96794945104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 96794945104 in words is "ninety-six billion, seven hundred ninety-four million, nine hundred forty-five thousand, one hundred four".