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20358161694 = 232131912811621
BaseRepresentation
bin10010111101011100…
…001110010100011110
31221112210110202201200
4102331130032110132
5313143142133234
613204042020330
71320331343043
oct227534162436
957483422650
1020358161694
1186a7719222
123b41aa76a6
131bc595aa30
14db1ab91ca
157e2417d99
hex4bd70e51e

20358161694 has 96 divisors (see below), whose sum is σ = 47950576128. Its totient is φ = 6205248000.

The previous prime is 20358161693. The next prime is 20358161711. The reversal of 20358161694 is 49616185302.

20358161694 is a `hidden beast` number, since 2 + 0 + 3 + 581 + 6 + 1 + 69 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20358161693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12558204 + ... + 12559824.

It is an arithmetic number, because the mean of its divisors is an integer number (499485168).

Almost surely, 220358161694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20358161694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975288064).

20358161694 is an abundant number, since it is smaller than the sum of its proper divisors (27592414434).

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

20358161694 is a wasteful number, since it uses less digits than its factorization.

20358161694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20358161694 in words is "twenty billion, three hundred fifty-eight million, one hundred sixty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 281 382 562 573 843 1146 1621 1686 1719 2483 2529 3242 3438 3653 4863 4966 5058 7306 7449 9726 10959 14589 14898 21073 21918 22347 29178 32877 42146 44694 53671 63219 65754 107342 126438 161013 189657 309611 322026 379314 455501 483039 619222 697723 911002 928833 966078 1366503 1395446 1857666 2093169 2733006 2786499 4024943 4099509 4186338 5572998 5921513 6279507 8049886 8199018 11843026 12074829 12559014 17764539 24149658 35529078 36224487 53293617 72448974 87000691 106587234 174001382 261002073 522004146 783006219 1131008983 1566012438 2262017966 3393026949 6786053898 10179080847 20358161694