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96694041600 = 21034521317211
BaseRepresentation
bin101101000001101101…
…0011111110000000000
3100020120202220020220000
41122003122133300000
53041012133312400
6112230504520000
76662111535552
oct1320332376000
9306522806800
1096694041600
113800a2a1682
12168a6780000
13916c922340
144973d734d2
1527addab600
hex168369fc00

96694041600 has 1320 divisors, whose sum is σ = 410205338928. Its totient is φ = 22295347200.

The previous prime is 96694041581. The next prime is 96694041721. The reversal of 96694041600 is 614049669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 458265495 + ... + 458265705.

Almost surely, 296694041600 is an apocalyptic number.

96694041600 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 96694041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205102669464).

96694041600 is an abundant number, since it is smaller than the sum of its proper divisors (313511297328).

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

96694041600 is a wasteful number, since it uses less digits than its factorization.

96694041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96694041600 in words is "ninety-six billion, six hundred ninety-four million, forty-one thousand, six hundred".