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2661102558 = 234314312323
BaseRepresentation
bin1001111010011101…
…0011001111011110
320212110100000110000
42132213103033132
520422220240213
61120020355130
7122641666332
oct23647231736
96773300400
102661102558
111146139814
12623245aa6
133354179ca
141b35c97c2
1510894ec73
hex9e9d33de

2661102558 has 80 divisors (see below), whose sum is σ = 6298845696. Its totient is φ = 838388880.

The previous prime is 2661102557. The next prime is 2661102593. The reversal of 2661102558 is 8552011662.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661102557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209785 + ... + 222107.

Almost surely, 22661102558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661102558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149422848).

2661102558 is an abundant number, since it is smaller than the sum of its proper divisors (3637743138).

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

2661102558 is a wasteful number, since it uses less digits than its factorization.

2661102558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2661102558 is about 51585.8755668642. The cubic root of 2661102558 is about 1385.7573927417.

The spelling of 2661102558 in words is "two billion, six hundred sixty-one million, one hundred two thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 129 162 186 258 279 387 558 774 837 1161 1333 1674 2322 2511 2666 3483 3999 5022 6966 7998 11997 12323 23994 24646 35991 36969 71982 73938 107973 110907 215946 221814 332721 382013 529889 665442 764026 998163 1059778 1146039 1589667 1996326 2292078 3179334 3438117 4769001 6876234 9538002 10314351 14307003 16426559 20628702 28614006 30943053 32853118 42921009 49279677 61886106 85842018 98559354 147839031 295678062 443517093 887034186 1330551279 2661102558