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2687445864 = 23353737363
BaseRepresentation
bin1010000000101111…
…0010101101101000
320221021220101200000
42200023302231220
521000441231424
61122401143000
7123411625065
oct24013625550
96837811600
102687445864
111159aa1944
1263002aa60
1333aa0c46c
141b6cc5c6c
1510ae053c9
hexa02f2b68

2687445864 has 96 divisors (see below), whose sum is σ = 7752282720. Its totient is φ = 871580736.

The previous prime is 2687445793. The next prime is 2687445889. The reversal of 2687445864 is 4685447862.

It is a happy number.

2687445864 is a `hidden beast` number, since 2 + 68 + 74 + 458 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2687445864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53247 + ... + 90609.

It is an arithmetic number, because the mean of its divisors is an integer number (80752945).

Almost surely, 22687445864 is an apocalyptic number.

2687445864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687445864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876141360).

2687445864 is an abundant number, since it is smaller than the sum of its proper divisors (5064836856).

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

2687445864 is a wasteful number, since it uses less digits than its factorization.

2687445864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37421 (or 37405 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 2687445864 is about 51840.5812467414. The cubic root of 2687445864 is about 1390.3151061749.

The spelling of 2687445864 in words is "two billion, six hundred eighty-seven million, four hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1944 1998 2664 2997 3996 5994 7992 8991 11988 17982 23976 35964 37363 71928 74726 112089 149452 224178 298904 336267 448356 672534 896712 1008801 1345068 1382431 2017602 2690136 2764862 3026403 4035204 4147293 5529724 6052806 8070408 8294586 9079209 11059448 12105612 12441879 16589172 18158418 24211224 24883758 33178344 36316836 37325637 49767516 72633672 74651274 99535032 111976911 149302548 223953822 298605096 335930733 447907644 671861466 895815288 1343722932 2687445864