Search a number
-
+
353188890012 = 223719375980981
BaseRepresentation
bin1010010001110111011…
…00101100010110011100
31020202122100012121002110
411020323230230112130
521241312323440022
6430130331354020
734342231013460
oct5107354542634
91222570177073
10353188890012
11126871a14642
125854a2b2910
13273c844a2aa
14131471a84a0
1592c1eaa00c
hex523bb2c59c

353188890012 has 96 divisors (see below), whose sum is σ = 1018202375680. Its totient is φ = 93016200960.

The previous prime is 353188889981. The next prime is 353188890017. The reversal of 353188890012 is 210098881353.

353188890012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3531888900123 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353188890017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2931439 + ... + 3049542.

Almost surely, 2353188890012 is an apocalyptic number.

It is an amenable number.

353188890012 is an abundant number, since it is smaller than the sum of its proper divisors (665013485668).

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

353188890012 is a wasteful number, since it uses less digits than its factorization.

353188890012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981051 (or 5981049 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 353188890012 in words is "three hundred fifty-three billion, one hundred eighty-eight million, eight hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 228 259 266 399 444 518 532 703 777 798 1036 1406 1554 1596 2109 2812 3108 4218 4921 8436 9842 14763 19684 29526 59052 5980981 11961962 17942943 23923924 35885886 41866867 71771772 83733734 113638639 125600601 167467468 221296297 227277278 251201202 340915917 442592594 454554556 502402404 663888891 681831834 795470473 885185188 1327777782 1363663668 1549074079 1590940946 2386411419 2655555564 3098148158 3181881892 4204629643 4647222237 4772822838 6196296316 8409259286 9294444474 9545645676 12613888929 16818518572 18588888948 25227777858 29432407501 50455555716 58864815002 88297222503 117729630004 176594445006 353188890012