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96726961760 = 2551113171491669
BaseRepresentation
bin101101000010101100…
…0000100111001100000
3100020200001211202212012
41122011120010321200
53041044100234020
6112234042252052
76662661415652
oct1320530047140
9306601752765
1096726961760
1138026937020
12168b57b7028
1391766aa520
1449784a26d2
1527b1c107c5
hex1685604e60

96726961760 has 384 divisors, whose sum is σ = 286339536000. Its totient is φ = 30334648320.

The previous prime is 96726961739. The next prime is 96726961769. The reversal of 96726961760 is 6716962769.

It is a happy number.

It is a super-2 number, since 2×967269617602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96726961760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96726961769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57954206 + ... + 57955874.

It is an arithmetic number, because the mean of its divisors is an integer number (745675875).

Almost surely, 296726961760 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 96726961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143169768000).

96726961760 is an abundant number, since it is smaller than the sum of its proper divisors (189612574240).

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

96726961760 is a wasteful number, since it uses less digits than its factorization.

96726961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 59.

The spelling of 96726961760 in words is "ninety-six billion, seven hundred twenty-six million, nine hundred sixty-one thousand, seven hundred sixty".