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2138469570 = 2325192921487
BaseRepresentation
bin111111101110110…
…0111010011000010
312112000220111202200
41333131213103002
513334422011240
6552110454030
7103664456106
oct17735472302
95460814680
102138469570
119a8123926
124b8204316
13281069c13
14164021906
15c7b15930
hex7f7674c2

2138469570 has 144 divisors (see below), whose sum is σ = 6065504640. Its totient is φ = 521265024.

The previous prime is 2138469563. The next prime is 2138469577. The reversal of 2138469570 is 759648312.

2138469570 is a `hidden beast` number, since 2 + 1 + 38 + 46 + 9 + 570 = 666.

2138469570 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2138469563) and next prime (2138469577).

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

2138469570 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 (2138469577) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1437367 + ... + 1438853.

It is an arithmetic number, because the mean of its divisors is an integer number (42121560).

It is a 1-persistent number, because it is pandigital, but 2⋅2138469570 = 4276939140 is not.

Almost surely, 22138469570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138469570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032752320).

2138469570 is an abundant number, since it is smaller than the sum of its proper divisors (3927035070).

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

2138469570 is a wasteful number, since it uses less digits than its factorization.

2138469570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1545 counting only the distinct ones).

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

The square root of 2138469570 is about 46243.5895016812. The cubic root of 2138469570 is about 1288.3514727089.

The spelling of 2138469570 in words is "two billion, one hundred thirty-eight million, four hundred sixty-nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 522 551 570 841 855 870 1102 1305 1487 1653 1682 1710 2523 2610 2755 2974 3306 4205 4461 4959 5046 5510 7435 7569 8265 8410 8922 9918 12615 13383 14870 15138 15979 16530 22305 24795 25230 26766 28253 31958 37845 43123 44610 47937 49590 56506 66915 75690 79895 84759 86246 95874 129369 133830 141265 143811 159790 169518 215615 239685 254277 258738 282530 287622 388107 423795 431230 479370 508554 646845 719055 776214 819337 847590 1250567 1271385 1293690 1438110 1638674 1940535 2458011 2501134 2542770 3751701 3881070 4096685 4916022 6252835 7374033 7503402 8193370 11255103 12290055 12505670 14748066 18758505 22510206 23760773 24580110 36870165 37517010 47521546 56275515 71282319 73740330 112551030 118803865 142564638 213846957 237607730 356411595 427693914 712823190 1069234785 2138469570