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34457551062 = 231123193337349
BaseRepresentation
bin100000000101110101…
…001000000011010110
310021221101221221212220
4200011311020003112
51031032113113222
623455104523210
72326614231354
oct400565100326
9107841857786
1034457551062
1113682431130
126817920506
133331a2848c
14194c4647d4
15d6a12eb5c
hex805d480d6

34457551062 has 128 divisors (see below), whose sum is σ = 79315891200. Its totient is φ = 9878077440.

The previous prime is 34457551057. The next prime is 34457551067. The reversal of 34457551062 is 26015575443.

It is an interprime number because it is at equal distance from previous prime (34457551057) and next prime (34457551067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457551067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98732064 + ... + 98732412.

It is an arithmetic number, because the mean of its divisors is an integer number (619655400).

Almost surely, 234457551062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457551062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657945600).

34457551062 is an abundant number, since it is smaller than the sum of its proper divisors (44858340138).

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

34457551062 is a wasteful number, since it uses less digits than its factorization.

34457551062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918.

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 34457551062 in words is "thirty-four billion, four hundred fifty-seven million, five hundred fifty-one thousand, sixty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 193 253 337 349 386 506 579 674 698 759 1011 1047 1158 1518 2022 2094 2123 3707 3839 4246 4439 6369 7414 7678 7751 8027 8878 11121 11517 12738 13317 15502 16054 22242 23034 23253 24081 26634 46506 48162 48829 65041 67357 85261 88297 97658 117613 130082 134714 146487 170522 176594 195123 202071 235226 255783 264891 292974 352839 390246 404142 511566 529782 705678 715451 740927 1293743 1430902 1481854 1495943 1549211 2146353 2222781 2587486 2705099 2991886 3098422 3881229 4292706 4445562 4487829 4647633 5410198 7762458 8115297 8975658 9295266 16230594 16455373 17041321 22699309 29756089 32910746 34082642 45398618 49366119 51123963 59512178 68097927 89268267 98732238 102247926 136195854 178536534 249692399 499384798 522084107 749077197 1044168214 1498154394 1566252321 3132504642 5742925177 11485850354 17228775531 34457551062