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20349694420 = 225111073492477
BaseRepresentation
bin10010111100111011…
…111011000111010100
31221112012112120210221
4102330323323013110
5313134010210140
613203140324124
71320166356106
oct227473730724
957465476727
1020349694420
1186a2965680
123b3b0a3644
131bc3c84a03
14db0913576
157e17e414a
hex4bcefb1d4

20349694420 has 96 divisors (see below), whose sum is σ = 47208873600. Its totient is φ = 7306775040.

The previous prime is 20349694397. The next prime is 20349694427. The reversal of 20349694420 is 2449694302.

It is a happy number.

It is a super-2 number, since 2×203496944202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20349694427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8214222 + ... + 8216698.

It is an arithmetic number, because the mean of its divisors is an integer number (491759100).

Almost surely, 220349694420 is an apocalyptic number.

20349694420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20349694420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23604436800).

20349694420 is an abundant number, since it is smaller than the sum of its proper divisors (26859179180).

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

20349694420 is a wasteful number, since it uses less digits than its factorization.

20349694420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 20349694420 in words is "twenty billion, three hundred forty-nine million, six hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 349 428 535 698 1070 1177 1396 1745 2140 2354 2477 3490 3839 4708 4954 5885 6980 7678 9908 11770 12385 15356 19195 23540 24770 27247 37343 38390 49540 54494 74686 76780 108988 136235 149372 186715 265039 272470 373430 410773 530078 544940 746860 821546 864473 1060156 1325195 1643092 1728946 2053865 2650390 2915429 3457892 4107730 4322365 5300780 5830858 8215460 8644730 9509203 11661716 14577145 17289460 19018406 29154290 38036812 47546015 58308580 92498611 95092030 184997222 190184060 369994444 462493055 924986110 1017484721 1849972220 2034969442 4069938884 5087423605 10174847210 20349694420