Search a number
-
+
96337769472 = 2103372174789
BaseRepresentation
bin101100110111000101…
…1011011010000000000
3100012122221111202102000
41121232023123100000
53034244432110342
6112131300424000
76650224346400
oct1315613332000
9305587452360
1096337769472
11379471830aa
12168073a8000
139113b81329
14493c912800
15278c98444c
hex166e2db400

96337769472 has 1056 divisors, whose sum is σ = 362918361600. Its totient is φ = 25069879296.

The previous prime is 96337769459. The next prime is 96337769497. The reversal of 96337769472 is 27496773369.

96337769472 is a `hidden beast` number, since 9 + 6 + 33 + 77 + 69 + 472 = 666.

96337769472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (72013536) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082446804 + ... + 1082446892.

Almost surely, 296337769472 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 96337769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181459180800).

96337769472 is an abundant number, since it is smaller than the sum of its proper divisors (266580592128).

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

96337769472 is a wasteful number, since it uses less digits than its factorization.

96337769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its digits is 72013536, while the sum is 63.

The spelling of 96337769472 in words is "ninety-six billion, three hundred thirty-seven million, seven hundred sixty-nine thousand, four hundred seventy-two".