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2383920293832 = 23337211187710909
BaseRepresentation
bin100010101100001100101…
…110001110011111001000
322102220022111121111212000
4202230030232032133020
5303024232043400312
65023054033151000
7334142524105200
oct42541456163710
98386274544760
102383920293832
1183a018947a20
1232602a0bb460
13143a5875ca7c
148354d293400
1542027dd8adc
hex22b0cb8e7c8

2383920293832 has 384 divisors, whose sum is σ = 8408677392000. Its totient is φ = 618813457920.

The previous prime is 2383920293767. The next prime is 2383920293837.

2383920293832 is a `hidden beast` number, since 23 + 8 + 39 + 202 + 9 + 383 + 2 = 666.

2383920293832 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2383920293837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218522394 + ... + 218533302.

It is an arithmetic number, because the mean of its divisors is an integer number (21897597375).

Almost surely, 22383920293832 is an apocalyptic number.

2383920293832 is a gapful number since it is divisible by the number (22) 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 2383920293832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204338696000).

2383920293832 is an abundant number, since it is smaller than the sum of its proper divisors (6024757098168).

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

2383920293832 is a wasteful number, since it uses less digits than its factorization.

2383920293832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12826 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2383920293832 in words is "two trillion, three hundred eighty-three billion, nine hundred twenty million, two hundred ninety-three thousand, eight hundred thirty-two".