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2138964750 = 232531373127
BaseRepresentation
bin111111101111110…
…0000001100001110
312112001211200000200
41333133200030032
513340033333000
6552125234330
7104001620556
oct17737401416
95461750020
102138964750
119a843196a
124b84029a6
132811b1420
14164110166
15c7bb2500
hex7f7e030e

2138964750 has 96 divisors (see below), whose sum is σ = 6228750528. Its totient is φ = 526507200.

The previous prime is 2138964743. The next prime is 2138964761. The reversal of 2138964750 is 574698312.

2138964750 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21389647503 (a number of 29 digits) contains 333 as substring.

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

2138964750 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2138964696 and 2138964705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7314 + ... + 65813.

It is an arithmetic number, because the mean of its divisors is an integer number (64882818).

It is a 1-persistent number, because it is pandigital, but 2⋅2138964750 = 4277929500 is not.

Almost surely, 22138964750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138964750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114375264).

2138964750 is an abundant number, since it is smaller than the sum of its proper divisors (4089785778).

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

2138964750 is a wasteful number, since it uses less digits than its factorization.

2138964750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73163 (or 73150 counting only the distinct ones).

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

The square root of 2138964750 is about 46248.9432311702. The cubic root of 2138964750 is about 1288.4509077840.

The spelling of 2138964750 in words is "two billion, one hundred thirty-eight million, nine hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2925 3250 4875 5850 9750 14625 29250 73127 146254 219381 365635 438762 658143 731270 950651 1096905 1316286 1828175 1901302 2193810 2851953 3290715 3656350 4753255 5484525 5703906 6581430 8555859 9140875 9506510 10969050 14259765 16453575 17111718 18281750 23766275 27422625 28519530 32907150 42779295 47532550 54845250 71298825 82267875 85558590 118831375 142597650 164535750 213896475 237662750 356494125 427792950 712988250 1069482375 2138964750