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7039344672 = 2532235320051
BaseRepresentation
bin1101000111001001…
…11110000000100000
3200011120202202112100
412203210332000200
5103404033012142
63122301330400
7336304304523
oct64344760040
920146682470
107039344672
112a92587928
121445566a00
13882500409
144aac7cbba
152b2edbb4c
hex1a393e020

7039344672 has 144 divisors (see below), whose sum is σ = 21283674048. Its totient is φ = 2201971200.

The previous prime is 7039344661. The next prime is 7039344679. The reversal of 7039344672 is 2764439307.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×70393446722 = 99104746822429575168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7039344679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341047 + ... + 361097.

It is an arithmetic number, because the mean of its divisors is an integer number (147803292).

Almost surely, 27039344672 is an apocalyptic number.

7039344672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7039344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641837024).

7039344672 is an abundant number, since it is smaller than the sum of its proper divisors (14244329376).

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

7039344672 is a wasteful number, since it uses less digits than its factorization.

7039344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20132 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 7039344672 is about 83900.8025706548. The cubic root of 7039344672 is about 1916.5084721996.

The spelling of 7039344672 in words is "seven billion, thirty-nine million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 53 69 72 92 96 106 138 144 159 184 207 212 276 288 318 368 414 424 477 552 636 736 828 848 954 1104 1219 1272 1656 1696 1908 2208 2438 2544 3312 3657 3816 4876 5088 6624 7314 7632 9752 10971 14628 15264 19504 20051 21942 29256 39008 40102 43884 58512 60153 80204 87768 117024 120306 160408 175536 180459 240612 320816 351072 360918 461173 481224 641632 721836 922346 962448 1062703 1383519 1443672 1844692 1924896 2125406 2767038 2887344 3188109 3689384 4150557 4250812 5534076 5774688 6376218 7378768 8301114 8501624 9564327 11068152 12752436 14757536 16602228 17003248 19128654 22136304 24442169 25504872 33204456 34006496 38257308 44272608 48884338 51009744 66408912 73326507 76514616 97768676 102019488 132817824 146653014 153029232 195537352 219979521 293306028 306058464 391074704 439959042 586612056 782149408 879918084 1173224112 1759836168 2346448224 3519672336 7039344672