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3672271064 = 2371114094231
BaseRepresentation
bin1101101011100010…
…0110100011011000
3100110221000200212102
43122320212203120
530010100133224
61404221302532
7160000534430
oct33270464330
910427020772
103672271064
1116149a0670
12865a04a48
13466a65577
1426ba032c0
151675da4ae
hexdae268d8

3672271064 has 64 divisors (see below), whose sum is σ = 8592652800. Its totient is φ = 1429401600.

The previous prime is 3672271061. The next prime is 3672271087. The reversal of 3672271064 is 4601722763.

3672271064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672271061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865829 + ... + 870059.

It is an arithmetic number, because the mean of its divisors is an integer number (134260200).

Almost surely, 23672271064 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 3672271064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296326400).

3672271064 is an abundant number, since it is smaller than the sum of its proper divisors (4920381736).

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

3672271064 is a wasteful number, since it uses less digits than its factorization.

3672271064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 3672271064 is about 60599.2662001777. The cubic root of 3672271064 is about 1542.8069154365.

The spelling of 3672271064 in words is "three billion, six hundred seventy-two million, two hundred seventy-one thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1409 2818 4231 5636 8462 9863 11272 15499 16924 19726 29617 30998 33848 39452 46541 59234 61996 78904 93082 108493 118468 123992 186164 216986 236936 325787 372328 433972 651574 867944 1303148 2606296 5961479 11922958 23845916 41730353 47691832 65576269 83460706 131152538 166921412 262305076 333842824 459033883 524610152 918067766 1836135532 3672271064