Search a number
-
+
113385527070462 = 232191572638029271
BaseRepresentation
bin11001110001111110100000…
…000100000100111011111110
3112212110112212100000102121200
4121301332200010010323332
5104330202024412223322
61041052331514240330
732611556030020053
oct3161764004047376
9485415770012550
10113385527070462
1133145594093079
1210872a5b7260a6
134b36294b6615a
141dddc62bb702a
15d1963ee4e8ac
hex671fa0104efe

113385527070462 has 96 divisors (see below), whose sum is σ = 261235255057920. Its totient is φ = 35442610931520.

The previous prime is 113385527070401. The next prime is 113385527070499. The reversal of 113385527070462 is 264070725583311.

113385527070462 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 5 + 527 + 0 + 70 + 46 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113385527070399 and 113385527070408.

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, 10106887 + ... + 18136157.

It is an arithmetic number, because the mean of its divisors is an integer number (2721200573520).

Almost surely, 2113385527070462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113385527070462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130617627528960).

113385527070462 is an abundant number, since it is smaller than the sum of its proper divisors (147849727987458).

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

113385527070462 is a wasteful number, since it uses less digits than its factorization.

113385527070462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029718 (or 8029715 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 113385527070462 in words is "one hundred thirteen trillion, three hundred eighty-five billion, five hundred twenty-seven million, seventy thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 157 171 263 314 342 471 526 789 942 1413 1578 2367 2826 2983 4734 4997 5966 8949 9994 14991 17898 26847 29982 41291 44973 53694 82582 89946 123873 247746 371619 743238 784529 1569058 2353587 4707174 7060761 8029271 14121522 16058542 24087813 48175626 72263439 144526878 152556149 305112298 457668447 915336894 1260595547 1373005341 2111698273 2521191094 2746010682 3781786641 4223396546 6335094819 7563573282 11345359923 12670189638 19005284457 22690719846 23951315393 38010568914 40122267187 47902630786 71853946179 80244534374 120366801561 143707892358 215561838537 240733603122 331536628861 361100404683 431123677074 663073257722 722200809366 994609886583 1989219773166 2983829659749 5967659319498 6299195948359 12598391896718 18897587845077 37795175690154 56692763535231 113385527070462