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4469283508624 = 2411223220892
BaseRepresentation
bin100000100001001011000…
…0011100101000110010000
3120211021000001101222101221
41001002112003211012100
51041211043034233444
613301054400134424
7640616004005464
oct101022603450620
916737001358357
104469283508624
11147345a032500
12602216007414
132655b42b990c
14116458cca4a4
157b3ca135a84
hex410960e5190

4469283508624 has 135 divisors (see below), whose sum is σ = 9954588034209. Its totient is φ = 1942236552960.

The previous prime is 4469283508577. The next prime is 4469283508633. The reversal of 4469283508624 is 4268053829644.

The square root of 4469283508624 is 2114068.

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

It can be written as a sum of positive squares in only one way, i.e., 3938367259024 + 530916249600 = 1984532^2 + 728640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2139435772 + ... + 2139437860.

Almost surely, 24469283508624 is an apocalyptic number.

4469283508624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4469283508624 is the 2114068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4469283508624

4469283508624 is an abundant number, since it is smaller than the sum of its proper divisors (5485304525585).

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

4469283508624 is an equidigital number, since it uses as much as digits as its factorization.

4469283508624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 61.

The spelling of 4469283508624 in words is "four trillion, four hundred sixty-nine billion, two hundred eighty-three million, five hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 529 968 1012 1058 1936 2024 2089 2116 2783 4048 4178 4232 5566 5819 8356 8464 11132 11638 16712 22264 22979 23276 33424 44528 45958 46552 48047 64009 91916 93104 96094 128018 183832 192188 252769 256036 367664 384376 505538 512072 528517 768752 1011076 1024144 1057034 1105081 2022152 2114068 2210162 4044304 4228136 4363921 4420324 5813687 8456272 8727842 8840648 11627374 12155891 17455684 17681296 23254748 24311782 34911368 46509496 48003131 48623564 69822736 93018992 96006262 97247128 100370183 133714801 192012524 194494256 200740366 267429602 384025048 401480732 528034441 534859204 768050096 802961464 1056068882 1069718408 1104072013 1605922928 2112137764 2139436816 2208144026 2308514209 4224275528 4416288052 4617028418 8448551056 8832576104 9234056836 12144792143 17665152208 18468113672 24289584286 25393656299 36936227344 48579168572 50787312598 97158337144 101574625196 194316674288 203149250392 279330219289 406298500784 558660438578 1117320877156 2234641754312 4469283508624