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5106758670 = 2335132416037
BaseRepresentation
bin1001100000110001…
…01111010000001110
3111011220021012221000
410300120233100032
540424312234140
62202423321130
7240356506146
oct46030572016
914156235830
105106758670
1121906a5412
12ba62b01a6
13634cca7c0
14366331926
151ed4e3a30
hex13062f40e

5106758670 has 128 divisors (see below), whose sum is σ = 14728855680. Its totient is φ = 1251624960.

The previous prime is 5106758663. The next prime is 5106758729. The reversal of 5106758670 is 768576015.

5106758670 is a `hidden beast` number, since 5 + 1 + 0 + 67 + 586 + 7 + 0 = 666.

It is a super-2 number, since 2×51067586702 = 52157968227240337800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842892 + ... + 848928.

It is an arithmetic number, because the mean of its divisors is an integer number (115069185).

Almost surely, 25106758670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106758670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364427840).

5106758670 is an abundant number, since it is smaller than the sum of its proper divisors (9622097010).

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

5106758670 is a wasteful number, since it uses less digits than its factorization.

5106758670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5106758670 is about 71461.5887732704. The cubic root of 5106758670 is about 1722.0606578203.

The spelling of 5106758670 in words is "five billion, one hundred six million, seven hundred fifty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 241 270 351 390 482 585 702 723 1170 1205 1446 1755 2169 2410 3133 3510 3615 4338 6037 6266 6507 7230 9399 10845 12074 13014 15665 18111 18798 21690 28197 30185 31330 32535 36222 46995 54333 56394 60370 65070 78481 84591 90555 93990 108666 140985 156962 162999 169182 181110 235443 271665 281970 325998 392405 422955 470886 543330 706329 784810 814995 845910 1177215 1412658 1454917 1629990 2118987 2354430 2909834 3531645 4237974 4364751 7063290 7274585 8729502 10594935 13094253 14549170 18913921 21189870 21823755 26188506 37827842 39282759 43647510 56741763 65471265 78565518 94569605 113483526 130942530 170225289 189139210 196413795 283708815 340450578 392827590 510675867 567417630 851126445 1021351734 1702252890 2553379335 5106758670