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2039233012344 = 233211291392712357
BaseRepresentation
bin11101101011001011110…
…000100110001001111000
321012221121122200101012100
4131223023300212021320
5231402322122343334
64200451040343400
7300221044415163
oct35531360461170
97187548611170
102039233012344
11716919966730
1228b273014b60
1311a3b6751b88
14709b1246ada
15380a24adc99
hex1dacbc26278

2039233012344 has 384 divisors, whose sum is σ = 6303443328000. Its totient is φ = 589912243200.

The previous prime is 2039233012277. The next prime is 2039233012379. The reversal of 2039233012344 is 4432103329302.

2039233012344 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 2 + 3 + 301 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2039233012299 and 2039233012308.

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, 865180414 + ... + 865182770.

It is an arithmetic number, because the mean of its divisors is an integer number (16415217000).

Almost surely, 22039233012344 is an apocalyptic number.

2039233012344 is a gapful number since it is divisible by the number (24) 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 2039233012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151721664000).

2039233012344 is an abundant number, since it is smaller than the sum of its proper divisors (4264210315656).

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

2039233012344 is a wasteful number, since it uses less digits than its factorization.

2039233012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 2039233012344 in words is "two trillion, thirty-nine billion, two hundred thirty-three million, twelve thousand, three hundred forty-four".