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369668864016 = 2434168892
BaseRepresentation
bin1010110000100011111…
…10110011100000010000
31022100011212012000110000
411120101332303200100
522024040212122031
6441453514410000
735464511333064
oct5302176634020
91270155160400
10369668864016
11132859488a71
125b789430900
1328b237963ba
1413c6bb9baa4
159938bb03e6
hex5611fb3810

369668864016 has 75 divisors (see below), whose sum is σ = 1069992296461. Its totient is φ = 123215658624.

The previous prime is 369668864009. The next prime is 369668864017. The reversal of 369668864016 is 610468866963.

The square root of 369668864016 is 608004.

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

369668864016 is a `hidden beast` number, since 3 + 6 + 96 + 68 + 86 + 401 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12543104016 + 357125760000 = 111996^2 + 597600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (369668864017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21879700 + ... + 21896588.

Almost surely, 2369668864016 is an apocalyptic number.

369668864016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

369668864016 is the 608004-th square number.

It is an amenable number.

369668864016 is an abundant number, since it is smaller than the sum of its proper divisors (700323432445).

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

369668864016 is an frugal number, since it uses more digits than its factorization.

369668864016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33798 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 369668864016 in words is "three hundred sixty-nine billion, six hundred sixty-eight million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 456003 608004 810672 912006 1216008 1368009 1824012 2432016 2736018 3648024 5472036 7296048 10944072 21888144 285238321 570476642 855714963 1140953284 1711429926 2281906568 2567144889 3422859852 4563813136 5134289778 6845719704 7701434667 10268579556 13691439408 15402869334 20537159112 23104304001 30805738668 41074318224 46208608002 61611477336 92417216004 123222954672 184834432008 369668864016