Search a number
-
+
45541303455054 = 23111136139961451
BaseRepresentation
bin10100101101011011010010…
…01101110000110101001110
312222020201001201222202122210
422112231221031300311032
521432122042141030204
6240505215212251250
712410151645206541
oct1226555115606516
9188221051882583
1045541303455054
1113568a5a5a5150
125136262470b26
131c546ac906814
14b362d47d2858
1553e9791cc389
hex296b69370d4e

45541303455054 has 64 divisors (see below), whose sum is σ = 100405698363648. Its totient is φ = 13655952576000.

The previous prime is 45541303454989. The next prime is 45541303455061. The reversal of 45541303455054 is 45055430314554.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45541303454994 and 45541303455012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408972 + ... + 9552479.

It is an arithmetic number, because the mean of its divisors is an integer number (1568839036932).

Almost surely, 245541303455054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45541303455054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50202849181824).

45541303455054 is an abundant number, since it is smaller than the sum of its proper divisors (54864394908594).

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

45541303455054 is a wasteful number, since it uses less digits than its factorization.

45541303455054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962193.

The product of its (nonzero) digits is 7200000, while the sum is 48.

The spelling of 45541303455054 in words is "forty-five trillion, five hundred forty-one billion, three hundred three million, four hundred fifty-five thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 613 678 1226 1243 1839 2486 3678 3729 6743 7458 13486 20229 40458 69269 138538 207807 415614 761959 1523918 2285877 4571754 9961451 19922902 29884353 59768706 109575961 219151922 328727883 657455766 1125643963 2251287926 3376931889 6106369463 6753863778 12212738926 12382083593 18319108389 24764167186 36638216778 37146250779 67170064093 74292501558 134340128186 201510192279 403020384558 690019749319 1380039498638 2070059247957 4140118495914 7590217242509 15180434485018 22770651727527 45541303455054