Search a number
-
+
35341385807385 = 32574320887124919
BaseRepresentation
bin10000000100100100011101…
…01111110011011000011001
311122010121021221102202111100
420002102032233303120121
514113013124231314020
6203055335234222013
710305221325546420
oct1002221657633031
9148117257382440
1035341385807385
1110296219a38509
123b69492724909
1316948a8534128
148a27644dc2b7
1541449d180a90
hex20248ebf3619

35341385807385 has 96 divisors (see below), whose sum is σ = 71641735925760. Its totient is φ = 15779457880704.

The previous prime is 35341385807369. The next prime is 35341385807417. The reversal of 35341385807385 is 58370858314353.

35341385807385 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 13 + 8 + 580 + 7 + 38 + 5 = 666.

It is not a de Polignac number, because 35341385807385 - 24 = 35341385807369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282851956 + ... + 282976874.

It is an arithmetic number, because the mean of its divisors is an integer number (746268082560).

Almost surely, 235341385807385 is an apocalyptic number.

35341385807385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35341385807385 is an abundant number, since it is smaller than the sum of its proper divisors (36300350118375).

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

35341385807385 is a wasteful number, since it uses less digits than its factorization.

35341385807385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145867 (or 145864 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 35341385807385 in words is "thirty-five trillion, three hundred forty-one billion, three hundred eighty-five million, eight hundred seven thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 13545 20887 62661 104435 124919 146209 187983 313305 374757 438627 624595 731045 874433 898141 939915 1124271 1315881 1873785 2193135 2623299 2694423 4372165 4490705 5371517 5621355 6286987 6579405 7869897 8083269 13116495 13472115 16114551 18860961 26857585 31434935 37600619 39349485 40416345 48343653 56582883 80572755 94304805 112801857 188003095 241718265 282914415 338405571 564009285 1692027855 2609183153 7827549459 13045915765 18264282071 23482648377 39137747295 54792846213 91321410355 112194875579 117413241885 164378538639 273964231065 336584626737 560974377895 785364129053 821892693195 1009753880211 1682923133685 2356092387159 3926820645265 5048769401055 7068277161477 11780461935795 35341385807385