Search a number
-
+
23582045640 = 23351371434431
BaseRepresentation
bin10101111101100110…
…010111010111001000
32020212110210001002210
4111331212113113020
5341244000430030
614500005025120
71463246036436
oct257546272710
966773701083
1023582045640
11a0014a4a1a
1246a16b51a0
1322ba83c77a
1411d9d1dd56
15930482bb0
hex57d9975c8

23582045640 has 64 divisors (see below), whose sum is σ = 71262581760. Its totient is φ = 6242639360.

The previous prime is 23582045609. The next prime is 23582045713. The reversal of 23582045640 is 4654028532.

It is a super-2 number, since 2×235820456402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700776 + ... + 733655.

It is an arithmetic number, because the mean of its divisors is an integer number (1113477840).

Almost surely, 223582045640 is an apocalyptic number.

23582045640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23582045640 is an abundant number, since it is smaller than the sum of its proper divisors (47680536120).

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

23582045640 is a wasteful number, since it uses less digits than its factorization.

23582045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434582 (or 1434578 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 23582045640 in words is "twenty-three billion, five hundred eighty-two million, forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 1434431 2868862 4303293 5737724 7172155 8606586 11475448 14344310 17213172 21516465 28688620 34426344 43032930 57377240 86065860 172131720 196517047 393034094 589551141 786068188 982585235 1179102282 1572136376 1965170470 2358204564 2947755705 3930340940 4716409128 5895511410 7860681880 11791022820 23582045640