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2653315116 = 2231983149941
BaseRepresentation
bin1001111000100110…
…0110000000101100
320211220200101002020
42132021212000230
520413222040431
61115141430140
7122515543404
oct23611460054
96756611066
102653315116
1111417aaa11
1262070b350
1333391c25a
141b255d804
15107e12696
hex9e26602c

2653315116 has 96 divisors (see below), whose sum is σ = 6646752000. Its totient is φ = 821364480.

The previous prime is 2653315051. The next prime is 2653315117. The reversal of 2653315116 is 6115133562.

It is a super-2 number, since 2×26533151162 = 14080162209588186912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2653315117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2819206 + ... + 2820146.

It is an arithmetic number, because the mean of its divisors is an integer number (69237000).

Almost surely, 22653315116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653315116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323376000).

2653315116 is an abundant number, since it is smaller than the sum of its proper divisors (3993436884).

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

2653315116 is a wasteful number, since it uses less digits than its factorization.

2653315116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 2653315116 is about 51510.3398940446. The cubic root of 2653315116 is about 1384.4043133349.

Adding to 2653315116 its reverse (6115133562), we get a palindrome (8768448678).

The spelling of 2653315116 in words is "two billion, six hundred fifty-three million, three hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 149 166 228 249 298 332 447 498 596 894 941 996 1577 1788 1882 2823 2831 3154 3764 4731 5646 5662 6308 8493 9462 11292 11324 12367 16986 17879 18924 24734 33972 35758 37101 49468 53637 71516 74202 78103 107274 140209 148404 156206 214548 234309 234973 280418 312412 420627 468618 469946 560836 704919 841254 937236 939892 1409838 1483957 1682508 2663971 2819676 2967914 4451871 5327942 5935828 7991913 8903742 10655884 11637347 15983826 17807484 23274694 31967652 34912041 46549388 69824082 139648164 221109593 442219186 663328779 884438372 1326657558 2653315116