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2264999913792 = 263371121547537
BaseRepresentation
bin100000111101011100100…
…000111110100101000000
322000112100201221021112000
4200331130200332211000
5244102204434220132
64452305424504000
7322432544414640
oct40753440764500
98015321837460
102264999913792
117a3643448300
12306b7ba7b000
1313578613bca5
147b8ab4a2520
153ddb7ae087c
hex20f5c83e940

2264999913792 has 336 divisors, whose sum is σ = 8364628594560. Its totient is φ = 588311285760.

The previous prime is 2264999913791. The next prime is 2264999913797. The reversal of 2264999913792 is 2973199994622.

2264999913792 is a `hidden beast` number, since 22 + 64 + 9 + 99 + 91 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2264999913792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264999913791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689848 + ... + 2237384.

It is an arithmetic number, because the mean of its divisors is an integer number (24894727960).

Almost surely, 22264999913792 is an apocalyptic number.

2264999913792 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 2264999913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182314297280).

2264999913792 is an abundant number, since it is smaller than the sum of its proper divisors (6099628680768).

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

2264999913792 is a wasteful number, since it uses less digits than its factorization.

2264999913792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547587 (or 1547560 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 72.

The spelling of 2264999913792 in words is "two trillion, two hundred sixty-four billion, nine hundred ninety-nine million, nine hundred thirteen thousand, seven hundred ninety-two".