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2138965470 = 2325192943133
BaseRepresentation
bin111111101111110…
…0000010111011110
312112001211201000100
41333133200113132
513340033343340
6552125241530
7104001622635
oct17737402736
95461751010
102138965470
119a8432464
124b84032a6
132811b1855
1416411051c
15c7bb2830
hex7f7e05de

2138965470 has 96 divisors (see below), whose sum is σ = 6056013600. Its totient is φ = 521724672.

The previous prime is 2138965463. The next prime is 2138965471. The reversal of 2138965470 is 745698312.

2138965470 is a `hidden beast` number, since 2 + 13 + 8 + 96 + 547 + 0 = 666.

2138965470 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 3×21389654703 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

2138965470 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138965471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28024 + ... + 71156.

It is an arithmetic number, because the mean of its divisors is an integer number (63083475).

It is a 1-persistent number, because it is pandigital, but 2⋅2138965470 = 4277930940 is not.

Almost surely, 22138965470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138965470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028006800).

2138965470 is an abundant number, since it is smaller than the sum of its proper divisors (3917048130).

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

2138965470 is a wasteful number, since it uses less digits than its factorization.

2138965470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43194 (or 43191 counting only the distinct ones).

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

The square root of 2138965470 is about 46248.9510151311. The cubic root of 2138965470 is about 1288.4510523530.

The spelling of 2138965470 in words is "two billion, one hundred thirty-eight million, nine hundred sixty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 522 551 570 855 870 1102 1305 1653 1710 2610 2755 3306 4959 5510 8265 9918 16530 24795 43133 49590 86266 129399 215665 258798 388197 431330 646995 776394 819527 1250857 1293990 1639054 1940985 2458581 2501714 3752571 3881970 4097635 4917162 6254285 7375743 7505142 8195270 11257713 12292905 12508570 14751486 18762855 22515426 23766283 24585810 36878715 37525710 47532566 56288565 71298849 73757430 112577130 118831415 142597698 213896547 237662830 356494245 427793094 712988490 1069482735 2138965470