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3672744012 = 223375638629
BaseRepresentation
bin1101101011101001…
…1010000001001100
3100110221220201122000
43122322122001030
530010210302022
61404235352300
7160004544330
oct33272320114
910427821560
103672744012
111615193a33
12865bb2690
13466b9c912
1426bac77c0
151676806ac
hexdae9a04c

3672744012 has 96 divisors (see below), whose sum is σ = 10902796800. Its totient is φ = 1047370176.

The previous prime is 3672744001. The next prime is 3672744013. The reversal of 3672744012 is 2104472763.

It is a super-2 number, since 2×36727440122 = 26978097155363712288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3672744013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421314 + ... + 429942.

It is an arithmetic number, because the mean of its divisors is an integer number (113570800).

Almost surely, 23672744012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672744012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451398400).

3672744012 is an abundant number, since it is smaller than the sum of its proper divisors (7230052788).

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

3672744012 is a wasteful number, since it uses less digits than its factorization.

3672744012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3672744012 is about 60603.1683330170. The cubic root of 3672744012 is about 1542.8731447635.

The spelling of 3672744012 in words is "three billion, six hundred seventy-two million, seven hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 563 756 1126 1689 2252 3378 3941 5067 6756 7882 8629 10134 11823 15201 15764 17258 20268 23646 25887 30402 34516 35469 47292 51774 60403 60804 70938 77661 103548 106407 120806 141876 155322 181209 212814 232983 241612 310644 362418 425628 465966 543627 724836 931932 1087254 1630881 2174508 3261762 4858127 6523524 9716254 14574381 19432508 29148762 34006889 43723143 58297524 68013778 87446286 102020667 131169429 136027556 174892572 204041334 262338858 306062001 408082668 524677716 612124002 918186003 1224248004 1836372006 3672744012