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245604324144 = 24319498754001
BaseRepresentation
bin1110010010111100101…
…0001001001100110000
3212110221120212101102210
43210233022021030300
513010444201333034
6304455025012120
723513206211154
oct3445712111460
9773846771383
10245604324144
1195184268993
123b724484040
131a2114b116a
14bc5cb01064
1565c6e868e9
hex392f289330

245604324144 has 80 divisors (see below), whose sum is σ = 668017700480. Its totient is φ = 77542272000.

The previous prime is 245604324131. The next prime is 245604324223. The reversal of 245604324144 is 441423406542.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4521144 + ... + 4575144.

It is an arithmetic number, because the mean of its divisors is an integer number (8350221256).

Almost surely, 2245604324144 is an apocalyptic number.

245604324144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245604324144 is an abundant number, since it is smaller than the sum of its proper divisors (422413376336).

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

245604324144 is a wasteful number, since it uses less digits than its factorization.

245604324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59018 (or 59012 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 245604324144 in words is "two hundred forty-five billion, six hundred four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 4987 9974 14961 19948 29922 39896 54001 59844 79792 94753 108002 119688 162003 189506 216004 239376 284259 324006 379012 432008 568518 648012 758024 864016 1026019 1137036 1296024 1516048 2052038 2274072 2592048 3078057 4104076 4548144 6156114 8208152 12312228 16416304 24624456 49248912 269302987 538605974 807908961 1077211948 1615817922 2154423896 3231635844 4308847792 5116756753 6463271688 10233513506 12926543376 15350270259 20467027012 30700540518 40934054024 61401081036 81868108048 122802162072 245604324144