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54037230404004 = 22344083892
BaseRepresentation
bin11000100100101100001011…
…11011000100000110100100
321002022220112111102110010000
430102112011323010012210
524040321221440412004
6310532205544101300
714245026641560161
oct1422260573040644
9232286474373100
1054037230404004
11162440738a7291
12608893b164830
13241c8c585a863
14d4b5b7367068
1563a9743c0c39
hex312585ec41a4

54037230404004 has 45 divisors (see below), whose sum is σ = 141264340203217. Its totient is φ = 18012366028656.

The previous prime is 54037230403997. The next prime is 54037230404029. The reversal of 54037230404004 is 40040403273045.

The square root of 54037230404004 is 7351002.

It is a perfect power (a square), and thus also a powerful number.

54037230404004 is a `hidden beast` number, since 540 + 3 + 7 + 2 + 30 + 40 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361679554404 + 53675550849600 = 601398^2 + 7326360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54037230404004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 132113842 + ... + 132522230.

Almost surely, 254037230404004 is an apocalyptic number.

54037230404004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54037230404004 is the 7351002-nd square number.

It is an amenable number.

54037230404004 is an abundant number, since it is smaller than the sum of its proper divisors (87227109799213).

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

54037230404004 is an frugal number, since it uses more digits than its factorization.

54037230404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816794 (or 408394 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

54037230404004 divided by its sum of digits (36) gives a square (1501034177889 = 12251672).

Adding to 54037230404004 its reverse (40040403273045), we get a palindrome (94077633677049).

The spelling of 54037230404004 in words is "fifty-four trillion, thirty-seven billion, two hundred thirty million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 408389 816778 1225167 1633556 2450334 3675501 4900668 7351002 11026503 14702004 22053006 33079509 44106012 66159018 132318036 166781575321 333563150642 500344725963 667126301284 1000689451926 1501034177889 2001378903852 3002068355778 4503102533667 6004136711556 9006205067334 13509307601001 18012410134668 27018615202002 54037230404004