Search a number
-
+
133657486290 = 23354114278461
BaseRepresentation
bin111110001111010011…
…0110110001111010010
3110202222211010210121000
41330132212312033102
54142212304030130
6141222411442430
712441104613456
oct1743646661722
9422884123530
10133657486290
1151758191779
1221aa1756416
13c7b08616c3
14667d140666
153723ecd260
hex1f1e9b63d2

133657486290 has 128 divisors (see below), whose sum is σ = 365412176640. Its totient is φ = 34744204800.

The previous prime is 133657486283. The next prime is 133657486367. The reversal of 133657486290 is 92684756331.

133657486290 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 7 + 4 + 8 + 629 + 0 = 666.

133657486290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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, 15792660 + ... + 15801120.

It is an arithmetic number, because the mean of its divisors is an integer number (2854782630).

It is a 2-persistent number, because it is pandigital, and so is 2⋅133657486290 = 267314972580, but 3⋅133657486290 = 400972458870 is not.

Almost surely, 2133657486290 is an apocalyptic number.

133657486290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133657486290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182706088320).

133657486290 is an abundant number, since it is smaller than the sum of its proper divisors (231754690350).

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

133657486290 is a wasteful number, since it uses less digits than its factorization.

133657486290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 133657486290 in words is "one hundred thirty-three billion, six hundred fifty-seven million, four hundred eighty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1427 1845 2214 2854 3690 4281 5535 7135 8461 8562 11070 12843 14270 16922 21405 25383 25686 38529 42305 42810 50766 58507 64215 76149 77058 84610 117014 126915 128430 152298 175521 192645 228447 253830 292535 346901 351042 380745 385290 456894 526563 585070 693802 761490 877605 1040703 1053126 1142235 1579689 1734505 1755210 2081406 2284470 2632815 3122109 3159378 3469010 5203515 5265630 6244218 7898445 9366327 10407030 12073847 15610545 15796890 18732654 24147694 31221090 36221541 46831635 60369235 72443082 93663270 108664623 120738470 181107705 217329246 325993869 362215410 495027727 543323115 651987738 990055454 1086646230 1485083181 1629969345 2475138635 2970166362 3259938690 4455249543 4950277270 7425415905 8910499086 13365748629 14850831810 22276247715 26731497258 44552495430 66828743145 133657486290