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2930906459832 = 23313193134134673
BaseRepresentation
bin101010101001100111101…
…000110110111010111000
3101101012011220120202200220
4222221213220312322320
5341004444023203312
610122235001100040
7421515410566341
oct52514750667270
911335156522626
102930906459832
11a2aa9931936a
123b4042787620
131834ca131320
14a1bdc83d0c8
155138d9d8c8c
hex2aa67a36eb8

2930906459832 has 256 divisors, whose sum is σ = 8578502553600. Its totient is φ = 826374389760.

The previous prime is 2930906459777. The next prime is 2930906459837. The reversal of 2930906459832 is 2389546090392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930906459837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627197848 + ... + 627202520.

It is an arithmetic number, because the mean of its divisors is an integer number (33509775600).

Almost surely, 22930906459832 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 2930906459832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289251276800).

2930906459832 is an abundant number, since it is smaller than the sum of its proper divisors (5647596093768).

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

2930906459832 is a wasteful number, since it uses less digits than its factorization.

2930906459832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 2930906459832 in words is "two trillion, nine hundred thirty billion, nine hundred six million, four hundred fifty-nine thousand, eight hundred thirty-two".