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34775534020 = 2252331297811
BaseRepresentation
bin100000011000110010…
…001000100111000100
310022202120022011111111
4200120302020213010
51032210014042040
623550424214404
72340525106363
oct403062104704
9108676264444
1034775534020
1113825978467
1268a630a404
133382881586
14197c7997da
15d87ee1dea
hex818c889c4

34775534020 has 144 divisors (see below), whose sum is σ = 79651119744. Its totient is φ = 12727756800.

The previous prime is 34775534009. The next prime is 34775534023. The reversal of 34775534020 is 2043557743.

It is not an unprimeable number, because it can be changed into a prime (34775534023) 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, 42879415 + ... + 42880225.

It is an arithmetic number, because the mean of its divisors is an integer number (553132776).

Almost surely, 234775534020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34775534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39825559872).

34775534020 is an abundant number, since it is smaller than the sum of its proper divisors (44875585724).

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

34775534020 is a wasteful number, since it uses less digits than its factorization.

34775534020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 40.

The spelling of 34775534020 in words is "thirty-four billion, seven hundred seventy-five million, five hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 97 115 124 155 194 230 310 388 460 485 620 713 811 961 970 1426 1622 1922 1940 2231 2852 3007 3244 3565 3844 4055 4462 4805 6014 7130 8110 8924 9610 11155 12028 14260 15035 16220 18653 19220 22103 22310 25141 30070 37306 44206 44620 50282 60140 69161 74612 78667 88412 93217 93265 100564 110515 125705 138322 157334 186434 186530 221030 251410 276644 314668 345805 372868 373060 393335 442060 466085 502820 578243 691610 779371 786670 932170 1156486 1383220 1558742 1573340 1809341 1864340 2143991 2312972 2438677 2891215 3117484 3618682 3896855 4287982 4877354 5782430 7237364 7793710 8575964 9046705 9754708 10719955 11564860 12193385 15587420 17925533 18093410 21439910 24386770 35851066 36186820 42879820 48773540 56089571 71702132 75598987 89627665 112179142 151197974 179255330 224358284 280447855 302395948 358510660 377994935 560895710 755989870 1121791420 1511979740 1738776701 3477553402 6955106804 8693883505 17387767010 34775534020