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2343379961664 = 263371910196411
BaseRepresentation
bin100010000110011100010…
…101001000011101000000
322022000200011211020222000
4202012130111020131000
5301343220232233124
64552311153144000
7331206066010020
oct42063425103500
98260604736860
102343379961664
11823904995375
1231a1b525b000
1313cc97773641
14815c5031a80
1540e53c6d6c9
hex2219c548740

2343379961664 has 224 divisors, whose sum is σ = 8287643673600. Its totient is φ = 634298273280.

The previous prime is 2343379961599. The next prime is 2343379961707. The reversal of 2343379961664 is 4661699733432.

It is a happy number.

2343379961664 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 3 + 7 + 9 + 9 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4868382 + ... + 5328029.

Almost surely, 22343379961664 is an apocalyptic number.

2343379961664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2343379961664 is an abundant number, since it is smaller than the sum of its proper divisors (5944263711936).

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

2343379961664 is a wasteful number, since it uses less digits than its factorization.

2343379961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196458 (or 10196442 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 2343379961664 in words is "two trillion, three hundred forty-three billion, three hundred seventy-nine million, nine hundred sixty-one thousand, six hundred sixty-four".