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993331722253 = 1396293793517
BaseRepresentation
bin11100111010001110010…
…11110011100000001101
310111221221222212211002011
432131013023303200031
5112233320410103003
62040155202101221
7131523454220023
oct16350713634015
93457858784064
10993331722253
113532a6952152
1214062094a811
1372894919570
143611299a713
151ac8b12546d
hexe7472f380d

993331722253 has 8 divisors (see below), whose sum is σ = 1069754312088. Its totient is φ = 916910912064.

The previous prime is 993331722179. The next prime is 993331722269. The reversal of 993331722253 is 352227133399.

It can be written as a sum of positive squares in 4 ways, for example, as 46482066409 + 946849655844 = 215597^2 + 973062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993331722253 - 29 = 993331721741 is a prime.

It is a super-2 number, since 2×9933317222532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993331722197 and 993331722206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993331722553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855051 + ... + 1648567.

It is an arithmetic number, because the mean of its divisors is an integer number (133719289011).

Almost surely, 2993331722253 is an apocalyptic number.

It is an amenable number.

993331722253 is a deficient number, since it is larger than the sum of its proper divisors (76422589835).

993331722253 is a wasteful number, since it uses less digits than its factorization.

993331722253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889823.

The product of its digits is 1837080, while the sum is 49.

The spelling of 993331722253 in words is "nine hundred ninety-three billion, three hundred thirty-one million, seven hundred twenty-two thousand, two hundred fifty-three".

Divisors: 1 13 96293 793517 1251809 10315721 76410132481 993331722253