Search a number
-
+
96708130176 = 2737233767631
BaseRepresentation
bin101101000010001000…
…0001111010110000000
3100020121202102000210010
41122010100033112000
53041024240131201
6112232130504520
76662342354250
oct1320420172600
9306552360703
1096708130176
1138017244629
12168ab435140
139172815b88
144975b9d960
1527b0240bd6
hex168440f580

96708130176 has 512 divisors, whose sum is σ = 319823953920. Its totient is φ = 25291284480.

The previous prime is 96708130157. The next prime is 96708130187. The reversal of 96708130176 is 67103180769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153261381 + ... + 153262011.

It is an arithmetic number, because the mean of its divisors is an integer number (624656160).

Almost surely, 296708130176 is an apocalyptic number.

96708130176 is a gapful number since it is divisible by the number (96) 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 96708130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159911976960).

96708130176 is an abundant number, since it is smaller than the sum of its proper divisors (223115823744).

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

96708130176 is a wasteful number, since it uses less digits than its factorization.

96708130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 96708130176 in words is "ninety-six billion, seven hundred eight million, one hundred thirty thousand, one hundred seventy-six".