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2313797379264 = 263471711533253
BaseRepresentation
bin100001101010111001000…
…100100010010011000000
322012012022111222100220000
4201222321010202103000
5300402124112114024
64530535511520000
7326111025135060
oct41527104422300
98165274870800
102313797379264
11812304333368
1231451a089000
1313a261a0aa07
147ddba2033a0
15402c1ae8cc9
hex21ab91224c0

2313797379264 has 560 divisors, whose sum is σ = 8309500930368. Its totient is φ = 621466877952.

The previous prime is 2313797379253. The next prime is 2313797379269. The reversal of 2313797379264 is 4629737973132.

It is a happy number.

2313797379264 is a `hidden beast` number, since 23 + 137 + 97 + 379 + 26 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (2313797379269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 711279462 + ... + 711282714.

Almost surely, 22313797379264 is an apocalyptic number.

2313797379264 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 2313797379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154750465184).

2313797379264 is an abundant number, since it is smaller than the sum of its proper divisors (5995703551104).

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

2313797379264 is a wasteful number, since it uses less digits than its factorization.

2313797379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4435 counting only the distinct ones).

The product of its digits is 72013536, while the sum is 63.

The spelling of 2313797379264 in words is "two trillion, three hundred thirteen billion, seven hundred ninety-seven million, three hundred seventy-nine thousand, two hundred sixty-four".