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2138649750 = 233531013137
BaseRepresentation
bin111111101111001…
…0011010010010110
312112001020122221000
41333132103102112
513334443243000
6552114404130
7103666136316
oct17736232226
95461218830
102138649750
119a8237236
124b8290646
13281100c33
1416406b446
15c7b4e000
hex7f793496

2138649750 has 128 divisors (see below), whose sum is σ = 5991822720. Its totient is φ = 564480000.

The previous prime is 2138649743. The next prime is 2138649787. The reversal of 2138649750 is 579468312.

2138649750 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2138649750 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2138649696 and 2138649705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680182 + ... + 683318.

It is an arithmetic number, because the mean of its divisors is an integer number (46811115).

It is a 1-persistent number, because it is pandigital, but 2⋅2138649750 = 4277299500 is not.

Almost surely, 22138649750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138649750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995911360).

2138649750 is an abundant number, since it is smaller than the sum of its proper divisors (3853172970).

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

2138649750 is a wasteful number, since it uses less digits than its factorization.

2138649750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138649750 is about 46245.5376225642. The cubic root of 2138649750 is about 1288.3876556958.

The spelling of 2138649750 in words is "two billion, one hundred thirty-eight million, six hundred forty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 101 125 135 150 202 225 250 270 303 375 450 505 606 675 750 909 1010 1125 1350 1515 1818 2250 2525 2727 3030 3137 3375 4545 5050 5454 6274 6750 7575 9090 9411 12625 13635 15150 15685 18822 22725 25250 27270 28233 31370 37875 45450 47055 56466 68175 75750 78425 84699 94110 113625 136350 141165 156850 169398 227250 235275 282330 316837 340875 392125 423495 470550 633674 681750 705825 784250 846990 950511 1176375 1411650 1584185 1901022 2117475 2352750 2851533 3168370 3529125 4234950 4752555 5703066 7058250 7920925 8554599 9505110 10587375 14257665 15841850 17109198 21174750 23762775 28515330 39604625 42772995 47525550 71288325 79209250 85545990 118813875 142576650 213864975 237627750 356441625 427729950 712883250 1069324875 2138649750