Search a number
-
+
23534262048 = 2531122286233
BaseRepresentation
bin10101111010110000…
…000101011100100000
32020202010212101100010
4111322300011130200
5341144232341143
614451140524520
71462125632613
oct257260053440
966663771303
1023534262048
119a87528450
1246896b0740
1322b097c15b
1411d384217a
1592b194a33
hex57ac05720

23534262048 has 48 divisors (see below), whose sum is σ = 67393571616. Its totient is φ = 7131594240.

The previous prime is 23534262019. The next prime is 23534262053. The reversal of 23534262048 is 84026243532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×235342620482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23534261997 and 23534262015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11142061 + ... + 11144172.

It is an arithmetic number, because the mean of its divisors is an integer number (1404032742).

Almost surely, 223534262048 is an apocalyptic number.

It is an amenable number.

23534262048 is an abundant number, since it is smaller than the sum of its proper divisors (43859309568).

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

23534262048 is a wasteful number, since it uses less digits than its factorization.

23534262048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22286257 (or 22286249 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

It can be divided in two parts, 23534 and 262048, that added together give a palindrome (285582).

The spelling of 23534262048 in words is "twenty-three billion, five hundred thirty-four million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 22286233 44572466 66858699 89144932 133717398 178289864 245148563 267434796 356579728 490297126 534869592 713159456 735445689 980594252 1069739184 1470891378 1961188504 2139478368 2941782756 3922377008 5883565512 7844754016 11767131024 23534262048