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2662107138 = 2321922291789
BaseRepresentation
bin1001111010101100…
…1000100000000010
320212112020001110200
42132223020200002
520422444412023
61120054110030
7122653352205
oct23653104002
96775201420
102662107138
111146765549
1262364b316
133356aa032
141b37ab93c
15108a9c743
hex9eac8802

2662107138 has 72 divisors (see below), whose sum is σ = 6117450300. Its totient is φ = 836526528.

The previous prime is 2662107103. The next prime is 2662107139. The reversal of 2662107138 is 8317012662.

2662107138 is a `hidden beast` number, since 26 + 621 + 0 + 7 + 1 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1971626409 + 690480729 = 44403^2 + 26277^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2662107139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1487148 + ... + 1488936.

Almost surely, 22662107138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662107138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058725150).

2662107138 is an abundant number, since it is smaller than the sum of its proper divisors (3455343162).

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

2662107138 is a wasteful number, since it uses less digits than its factorization.

2662107138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2662107138 is about 51595.6116157179. The cubic root of 2662107138 is about 1385.9317476682.

The spelling of 2662107138 in words is "two billion, six hundred sixty-two million, one hundred seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 229 342 361 458 687 722 1083 1374 1789 2061 2166 3249 3578 4122 4351 5367 6498 8702 10734 13053 16101 26106 32202 33991 39159 67982 78318 82669 101973 165338 203946 248007 305919 409681 496014 611838 645829 744021 819362 1229043 1291658 1488042 1937487 2458086 3687129 3874974 5812461 7374258 7783939 11624922 15567878 23351817 46703634 70055451 140110902 147894841 295789682 443684523 887369046 1331053569 2662107138