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2638023426 = 2324347127571
BaseRepresentation
bin1001110100111101…
…0000101100000010
320210211220110211100
42131033100230002
520400313222201
61113433555230
7122241554253
oct23517205402
96724813740
102638023426
111134106055
12617575b16
133306c6c0c
141b04dcb2a
151068e1886
hex9d3d0b02

2638023426 has 96 divisors (see below), whose sum is σ = 6030655488. Its totient is φ = 832537440.

The previous prime is 2638023413. The next prime is 2638023439. The reversal of 2638023426 is 6243208362.

2638023426 is a `hidden beast` number, since 26 + 380 + 234 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (2638023413) and next prime (2638023439).

It is a super-2 number, since 2×26380234262 = 13918335192249554952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4619721 + ... + 4620291.

It is an arithmetic number, because the mean of its divisors is an integer number (62819328).

Almost surely, 22638023426 is an apocalyptic number.

2638023426 is an abundant number, since it is smaller than the sum of its proper divisors (3392632062).

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

2638023426 is a wasteful number, since it uses less digits than its factorization.

2638023426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2638023426 is about 51361.6922034311. The cubic root of 2638023426 is about 1381.7396365796.

The spelling of 2638023426 in words is "two billion, six hundred thirty-eight million, twenty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 43 47 86 94 127 129 141 254 258 282 381 387 423 571 762 774 846 1142 1143 1713 2021 2286 3426 4042 5139 5461 5969 6063 10278 10922 11938 12126 16383 17907 18189 24553 26837 32766 35814 36378 49106 49149 53674 53721 72517 73659 80511 98298 107442 145034 147318 161022 217551 220977 241533 256667 435102 441954 483066 513334 652653 770001 1153991 1305306 1540002 2307982 2310003 3118231 3408299 3461973 4620006 6236462 6816598 6923946 9354693 10224897 10385919 18709386 20449794 20771838 28064079 30674691 56128158 61349382 146556857 293113714 439670571 879341142 1319011713 2638023426