Search a number
-
+
45602633020 = 225721910922469
BaseRepresentation
bin101010011110001000…
…001111010100111100
311100201010101210011011
4222132020033110330
51221343233224040
632541034405004
73203034661600
oct523610172474
9140633353134
1045602633020
111838155216a
128a08290764
1343b9a1c329
1422c86dd500
1512bd7cb3ea
hexa9e20f53c

45602633020 has 144 divisors (see below), whose sum is σ = 118344996000. Its totient is φ = 14675738112.

The previous prime is 45602633017. The next prime is 45602633107. The reversal of 45602633020 is 2033620654.

It is a happy number.

45602633020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2018346 + ... + 2040814.

It is an arithmetic number, because the mean of its divisors is an integer number (821840250).

Almost surely, 245602633020 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 45602633020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59172498000).

45602633020 is an abundant number, since it is smaller than the sum of its proper divisors (72742362980).

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

45602633020 is a wasteful number, since it uses less digits than its factorization.

45602633020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22620 (or 22611 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 45602633020 in words is "forty-five billion, six hundred two million, six hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 109 133 140 190 196 218 245 266 380 436 490 532 545 665 763 931 980 1090 1330 1526 1862 2071 2180 2660 3052 3724 3815 4142 4655 5341 7630 8284 9310 10355 10682 14497 15260 18620 20710 21364 22469 26705 28994 41420 44938 53410 57988 72485 89876 101479 106820 112345 144970 157283 202958 224690 289940 314566 405916 426911 449380 507395 629132 786415 853822 1014790 1100981 1572830 1707644 2029580 2134555 2201962 2449121 2988377 3145660 4269110 4403924 4898242 5504905 5976754 8538220 9796484 11009810 11953508 12245605 14941885 17143847 20918639 22019620 24491210 29883770 34287694 41837278 46533299 48982420 59767540 68575388 83674556 85719235 93066598 104593195 120006929 171438470 186133196 209186390 232666495 240013858 325733093 342876940 418372780 465332990 480027716 600034645 651466186 930665980 1200069290 1302932372 1628665465 2280131651 2400138580 3257330930 4560263302 6514661860 9120526604 11400658255 22801316510 45602633020