Search a number
-
+
42718615552 = 21149941801
BaseRepresentation
bin100111110010001110…
…100101100000000000
311002021010121111221101
4213302032211200000
51144441431144202
631342532104144
73041415145444
oct476216454000
9132233544841
1042718615552
11171315aa158
128342465054
13404a386212
1420d3688824
1511a04e7887
hex9f23a5800

42718615552 has 48 divisors (see below), whose sum is σ = 85589595000. Its totient is φ = 21315993600.

The previous prime is 42718615519. The next prime is 42718615579. The reversal of 42718615552 is 25551681724.

It is a super-2 number, since 2×427186155522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001052 + ... + 1042852.

Almost surely, 242718615552 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 42718615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42794797500).

42718615552 is an abundant number, since it is smaller than the sum of its proper divisors (42870979448).

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

42718615552 is an equidigital number, since it uses as much as digits as its factorization.

42718615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42322 (or 42302 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The spelling of 42718615552 in words is "forty-two billion, seven hundred eighteen million, six hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 499 512 998 1024 1996 2048 3992 7984 15968 31936 41801 63872 83602 127744 167204 255488 334408 510976 668816 1021952 1337632 2675264 5350528 10701056 20858699 21402112 41717398 42804224 83434796 85608448 166869592 333739184 667478368 1334956736 2669913472 5339826944 10679653888 21359307776 42718615552