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3290816665640 = 2357177924773533
BaseRepresentation
bin101111111000110011111…
…101010101100000101000
3102122121011200010120201102
4233320303331111200220
5412404043031300030
610555440313540532
7456516335062040
oct57706375254050
912577150116642
103290816665640
11105969a241a49
12451947a14748
131ab426c0aa4a
14b53c253c720
155a905aaec45
hex2fe33f55828

3290816665640 has 256 divisors, whose sum is σ = 9079518873600. Its totient is φ = 1047748755456.

The previous prime is 3290816665639. The next prime is 3290816665681. The reversal of 3290816665640 is 465666180923.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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, 931449314 + ... + 931452846.

It is an arithmetic number, because the mean of its divisors is an integer number (35466870600).

Almost surely, 23290816665640 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 3290816665640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539759436800).

3290816665640 is an abundant number, since it is smaller than the sum of its proper divisors (5788702207960).

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

3290816665640 is a wasteful number, since it uses less digits than its factorization.

3290816665640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 3290816665640 in words is "three trillion, two hundred ninety billion, eight hundred sixteen million, six hundred sixty-five thousand, six hundred forty".