Search a number
-
+
332296963128 = 23321317109283677
BaseRepresentation
bin1001101010111100111…
…00010100010000111000
31011202201100100202011200
410311132130110100320
520421021010310003
6412353301054200
733002425403604
oct4653634242070
91152640322150
10332296963128
11118a20a77769
12544996b7360
1325449044790
1412124668504
15899cca96a3
hex4d5e714438

332296963128 has 384 divisors, whose sum is σ = 1040820580800. Its totient is φ = 94870683648.

The previous prime is 332296963099. The next prime is 332296963133. The reversal of 332296963128 is 821369692233.

It is a happy number.

332296963128 is a `hidden beast` number, since 3 + 32 + 296 + 9 + 6 + 312 + 8 = 666.

It is a super-2 number, since 2×3322969631282 (a number of 24 digits) contains 22 as substring.

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

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, 490837126 + ... + 490837802.

Almost surely, 2332296963128 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 332296963128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520410290400).

332296963128 is an abundant number, since it is smaller than the sum of its proper divisors (708523617672).

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

332296963128 is a wasteful number, since it uses less digits than its factorization.

332296963128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1104 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 332296963128 in words is "three hundred thirty-two billion, two hundred ninety-six million, nine hundred sixty-three thousand, one hundred twenty-eight".