Search a number
-
+
34216381639512 = 2333179318186721
BaseRepresentation
bin1111100011110100111110…
…10001011110101101011000
311111011001110110121122201000
413301322133101132231120
513441100122144431022
6200434442210425000
710131023556111312
oct761723721365530
9144131413548630
1034216381639512
11a9a20a4464076
123a07444b92160
13161278b3c3567
148641202c47b2
153e50a74876ac
hex1f1e9f45eb58

34216381639512 has 64 divisors (see below), whose sum is σ = 100636416597600. Its totient is φ = 10734551101440.

The previous prime is 34216381639501. The next prime is 34216381639591. The reversal of 34216381639512 is 21593618361243.

34216381639512 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 63 + 8 + 1 + 63 + 9 + 512 = 666.

It is a super-2 number, since 2×342163816395122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4659089689 + ... + 4659097032.

Almost surely, 234216381639512 is an apocalyptic number.

It is an amenable number.

34216381639512 is an abundant number, since it is smaller than the sum of its proper divisors (66420034958088).

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

34216381639512 is a wasteful number, since it uses less digits than its factorization.

34216381639512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318186753 (or 9318186743 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 34216381639512 in words is "thirty-four trillion, two hundred sixteen billion, three hundred eighty-one million, six hundred thirty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 9318186721 18636373442 27954560163 37272746884 55909120326 74545493768 83863680489 111818240652 158409174257 167727360978 223636481304 251591041467 316818348514 335454721956 475227522771 503182082934 633636697028 670909443912 950455045542 1006364165868 1267273394056 1425682568313 1900910091084 2012728331736 2851365136626 3801820182168 4277047704939 5702730273252 8554095409878 11405460546504 17108190819756 34216381639512