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96940787040 = 253752941233
BaseRepresentation
bin101101001001000011…
…1110000010101100000
3100021012222012020000000
41122102013300111200
53042013320141130
6112311201300000
710001166044166
oct1322207602540
9307188166000
1096940787040
1138126602129
1216955334600
1391aba95566
144998a43236
1527c589b260
hex16921f0560

96940787040 has 768 divisors, whose sum is σ = 365554425600. Its totient is φ = 24246190080.

The previous prime is 96940786963. The next prime is 96940787059. The reversal of 96940787040 is 4078704969.

It is a happy number.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416054764 + ... + 416054996.

It is an arithmetic number, because the mean of its divisors is an integer number (475982325).

Almost surely, 296940787040 is an apocalyptic number.

96940787040 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 96940787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182777212800).

96940787040 is an abundant number, since it is smaller than the sum of its proper divisors (268613638560).

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

96940787040 is a wasteful number, since it uses less digits than its factorization.

96940787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 96940787040 in words is "ninety-six billion, nine hundred forty million, seven hundred eighty-seven thousand, forty".