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2681356152 = 2331910357089
BaseRepresentation
bin1001111111010010…
…0011111101111000
320220212110000011010
42133310203331320
520442411344102
61122022433520
7123306102606
oct23764437570
96825400133
102681356152
111156612622
12629b928a0
13339689697
141b617c876
1510a600d6c
hex9fd23f78

2681356152 has 64 divisors (see below), whose sum is σ = 7124832000. Its totient is φ = 838508544.

The previous prime is 2681356151. The next prime is 2681356187. The reversal of 2681356152 is 2516531862.

It is a self number, because there is not a number n which added to its sum of digits gives 2681356152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681356151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18424 + ... + 75512.

It is an arithmetic number, because the mean of its divisors is an integer number (111325500).

Almost surely, 22681356152 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 2681356152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562416000).

2681356152 is an abundant number, since it is smaller than the sum of its proper divisors (4443475848).

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

2681356152 is a wasteful number, since it uses less digits than its factorization.

2681356152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57220 (or 57216 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 2681356152 is about 51781.8129462459. The cubic root of 2681356152 is about 1389.2641675818.

The spelling of 2681356152 in words is "two billion, six hundred eighty-one million, three hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 206 228 309 412 456 618 824 1236 1957 2472 3914 5871 7828 11742 15656 23484 46968 57089 114178 171267 228356 342534 456712 685068 1084691 1370136 2169382 3254073 4338764 5880167 6508146 8677528 11760334 13016292 17640501 23520668 26032584 35281002 47041336 70562004 111723173 141124008 223446346 335169519 446892692 670339038 893785384 1340678076 2681356152