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96920237700 = 22325211213223307
BaseRepresentation
bin101101001000011100…
…1010111011010000100
3100021011112112012121100
41122100321113122010
53041443040101300
6112305145020100
710000526266446
oct1322071273204
9307145465540
1096920237700
1138115a47100
121694a484630
1391a774c0a0
144996014496
1527c3b8c700
hex1690e57684

96920237700 has 648 divisors, whose sum is σ = 362394416384. Its totient is φ = 21520857600.

The previous prime is 96920237663. The next prime is 96920237719. The reversal of 96920237700 is 773202969.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 215 ways as a sum of consecutive naturals, for example, 315700947 + ... + 315701253.

Almost surely, 296920237700 is an apocalyptic number.

96920237700 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 96920237700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181197208192).

96920237700 is an abundant number, since it is smaller than the sum of its proper divisors (265474178684).

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

96920237700 is a wasteful number, since it uses less digits than its factorization.

96920237700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 96920237700 in words is "ninety-six billion, nine hundred twenty million, two hundred thirty-seven thousand, seven hundred".