Search a number
-
+
45221369520 = 24351719583351
BaseRepresentation
bin101010000111011001…
…110101011010110000
311022201112222120221210
4222013121311122300
51220103132311040
632435134520120
73160425204315
oct520731653260
9138645876853
1045221369520
11181a6314268
128920666040
134358a3b022
14228dc14d0c
15129a0b9480
hexa876756b0

45221369520 has 160 divisors (see below), whose sum is σ = 156244999680. Its totient is φ = 10752307200.

The previous prime is 45221369509. The next prime is 45221369533. The reversal of 45221369520 is 2596312254.

45221369520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×452213695202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214156 + ... + 369195.

It is an arithmetic number, because the mean of its divisors is an integer number (976531248).

Almost surely, 245221369520 is an apocalyptic number.

45221369520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45221369520 is an abundant number, since it is smaller than the sum of its proper divisors (111023630160).

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

45221369520 is a wasteful number, since it uses less digits than its factorization.

45221369520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583403 (or 583397 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 45221369520 in words is "forty-five billion, two hundred twenty-one million, three hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 380 408 456 510 570 646 680 760 816 912 969 1020 1140 1292 1360 1520 1615 1938 2040 2280 2584 3230 3876 4080 4560 4845 5168 6460 7752 9690 12920 15504 19380 25840 38760 77520 583351 1166702 1750053 2333404 2916755 3500106 4666808 5833510 7000212 8750265 9333616 9916967 11083669 11667020 14000424 17500530 19833934 22167338 23334040 28000848 29750901 33251007 35001060 39667868 44334676 46668080 49584835 55418345 59501802 66502014 70002120 79335736 88669352 99169670 110836690 119003604 133004028 140004240 148754505 158671472 166255035 177338704 188422373 198339340 221673380 238007208 266008056 297509010 332510070 376844746 396678680 443346760 476014416 532016112 565267119 595018020 665020140 753689492 793357360 886693520 942111865 1130534238 1190036040 1330040280 1507378984 1884223730 2261068476 2380072080 2660080560 2826335595 3014757968 3768447460 4522136952 5652671190 7536894920 9044273904 11305342380 15073789840 22610684760 45221369520