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2138406648 = 233721818373
BaseRepresentation
bin111111101110101…
…0111111011111000
312112000210022110020
41333131113323320
513334413003043
6552105250440
7103664104500
oct17735277370
95460708406
102138406648
119a8090624
124b8193a20
132810473a1
14164006a00
15c7b01e83
hex7f757ef8

2138406648 has 48 divisors (see below), whose sum is σ = 6218839080. Its totient is φ = 610972992.

The previous prime is 2138406563. The next prime is 2138406653. The reversal of 2138406648 is 8466048312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 908011 + ... + 910362.

Almost surely, 22138406648 is an apocalyptic number.

2138406648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2138406648 is an abundant number, since it is smaller than the sum of its proper divisors (4080432432).

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

2138406648 is a wasteful number, since it uses less digits than its factorization.

2138406648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818396 (or 1818385 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2138406648 is about 46242.9091645411. The cubic root of 2138406648 is about 1288.3388364997.

The spelling of 2138406648 in words is "two billion, one hundred thirty-eight million, four hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1818373 3636746 5455119 7273492 10910238 12728611 14546984 21820476 25457222 38185833 43640952 50914444 76371666 89100277 101828888 152743332 178200554 267300831 305486664 356401108 534601662 712802216 1069203324 2138406648