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2046350046 = 2313193767557
BaseRepresentation
bin111100111111000…
…1101001011011110
312021121120100112110
41321332031023132
513142331200141
6535020214450
7101465455056
oct17176151336
95247510473
102046350046
11960125094
1249139a426
13267c55320
14155ac2566
15be9bae16
hex79f8d2de

2046350046 has 128 divisors (see below), whose sum is σ = 4844689920. Its totient is φ = 570696192.

The previous prime is 2046350023. The next prime is 2046350063. The reversal of 2046350046 is 6400536402.

It is a junction number, because it is equal to n+sod(n) for n = 2046349995 and 2046350022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3673600 + ... + 3674156.

It is an arithmetic number, because the mean of its divisors is an integer number (37849140).

Almost surely, 22046350046 is an apocalyptic number.

2046350046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046350046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960).

2046350046 is an abundant number, since it is smaller than the sum of its proper divisors (2798339874).

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

2046350046 is a wasteful number, since it uses less digits than its factorization.

2046350046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2046350046 is about 45236.6007343611. The cubic root of 2046350046 is about 1269.5797162630.

Adding to 2046350046 its reverse (6400536402), we get a palindrome (8446886448).

The spelling of 2046350046 in words is "two billion, forty-six million, three hundred fifty thousand, forty-six".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 67 74 78 111 114 134 201 222 247 402 481 494 557 703 741 871 962 1114 1273 1406 1443 1482 1671 1742 2109 2479 2546 2613 2886 3342 3819 4218 4958 5226 7241 7437 7638 9139 10583 14482 14874 16549 18278 20609 21166 21723 27417 31749 32227 33098 37319 41218 43446 47101 49647 54834 61827 63498 64454 74638 94202 96681 99294 111957 123654 137579 141303 193362 223914 267917 275158 282606 391571 412737 485147 535834 612313 709061 783142 803751 825474 970294 1174713 1224626 1380803 1418122 1455441 1607502 1836939 2127183 2349426 2761606 2910882 3673878 4142409 4254366 5090423 8284818 9217793 10180846 15271269 17950439 18435586 26235257 27653379 30542538 35900878 52470514 53851317 55306758 78705771 107702634 157411542 341058341 682116682 1023175023 2046350046