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2423806656 = 263372711259
BaseRepresentation
bin1001000001111000…
…0101101011000000
320020220211010122220
42100132011223000
514430443303111
61040302331040
7114031005465
oct22036055300
96226733586
102423806656
1110341a28a7
12577889a80
132c820292b
1418dc9966c
15e2bc9e06
hex90785ac0

2423806656 has 112 divisors (see below), whose sum is σ = 6615866880. Its totient is φ = 782576640.

The previous prime is 2423806643. The next prime is 2423806669. The reversal of 2423806656 is 6566083242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2423806643) and next prime (2423806669).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1924555 + ... + 1925813.

It is an arithmetic number, because the mean of its divisors is an integer number (59070240).

Almost surely, 22423806656 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 2423806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307933440).

2423806656 is an abundant number, since it is smaller than the sum of its proper divisors (4192060224).

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

2423806656 is a wasteful number, since it uses less digits than its factorization.

2423806656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2423806656 is about 49232.1709454296. The cubic root of 2423806656 is about 1343.2782760545.

Adding to 2423806656 its reverse (6566083242), we get a palindrome (8989889898).

The spelling of 2423806656 in words is "two billion, four hundred twenty-three million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 271 296 444 542 592 813 888 1084 1184 1259 1626 1776 2168 2368 2518 3252 3552 3777 4336 5036 6504 7104 7554 8672 10027 10072 13008 15108 17344 20054 20144 26016 30081 30216 40108 40288 46583 52032 60162 60432 80216 80576 93166 120324 120864 139749 160432 186332 240648 241728 279498 320864 341189 372664 481296 558996 641728 682378 745328 962592 1023567 1117992 1364756 1490656 1925184 2047134 2235984 2729512 2981312 4094268 4471968 5459024 8188536 8943936 10918048 12623993 16377072 21836096 25247986 32754144 37871979 50495972 65508288 75743958 100991944 151487916 201983888 302975832 403967776 605951664 807935552 1211903328 2423806656