Search a number
-
+
3328077500832 = 2537191657157307
BaseRepresentation
bin110000011011100000111…
…000001001000110100000
3102210011100102222010111110
4300123200320021012200
5414011400320011312
611024521522543320
7462305602000440
oct60334070110640
912704312863443
103328077500832
11107347aa93a17
12459006507b40
131b1ab4643216
14b7119000120
155b886d7743c
hex306e0e091a0

3328077500832 has 192 divisors, whose sum is σ = 10516127892480. Its totient is φ = 900283631616.

The previous prime is 3328077500809. The next prime is 3328077500843. The reversal of 3328077500832 is 2380057708233.

It is a super-2 number, since 2×33280775008322 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21077923 + ... + 21235229.

It is an arithmetic number, because the mean of its divisors is an integer number (54771499440).

Almost surely, 23328077500832 is an apocalyptic number.

3328077500832 is a gapful number since it is divisible by the number (32) 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 3328077500832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258063946240).

3328077500832 is an abundant number, since it is smaller than the sum of its proper divisors (7188050391648).

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

3328077500832 is a wasteful number, since it uses less digits than its factorization.

3328077500832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159003 (or 158995 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 3328077500832 in words is "three trillion, three hundred twenty-eight billion, seventy-seven million, five hundred thousand, eight hundred thirty-two".