Search a number
-
+
96142797576 = 233276722912433
BaseRepresentation
bin101100110001010001…
…1101010101100001000
3100012011100122011020200
41121202203222230020
53033400024010301
6112100053452200
76642336203250
oct1314243525410
9305140564220
1096142797576
1137857114901
1216772041060
1390b2667847
144920a7c960
15277a7bec86
hex16628eab08

96142797576 has 192 divisors, whose sum is σ = 303369705600. Its totient is φ = 26939049984.

The previous prime is 96142797551. The next prime is 96142797589. The reversal of 96142797576 is 67579724169.

96142797576 is a `hidden beast` number, since 9 + 614 + 2 + 7 + 9 + 7 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×961427975762 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7726656 + ... + 7739088.

It is an arithmetic number, because the mean of its divisors is an integer number (1580050550).

Almost surely, 296142797576 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 96142797576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151684852800).

96142797576 is an abundant number, since it is smaller than the sum of its proper divisors (207226908024).

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

96142797576 is a wasteful number, since it uses less digits than its factorization.

96142797576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12748 (or 12741 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 96142797576 in words is "ninety-six billion, one hundred forty-two million, seven hundred ninety-seven thousand, five hundred seventy-six".