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6122630046 = 2313296771569
BaseRepresentation
bin1011011001110111…
…11110101110011110
3120210200210211110210
411230323332232132
5100014343130141
62451313113250
7304503332241
oct55473765636
916720724423
106122630046
112662079635
12122a558826
13767603b20
14421211258
1525c7ac916
hex16cefeb9e

6122630046 has 128 divisors (see below), whose sum is σ = 14065228800. Its totient is φ = 1763435520.

The previous prime is 6122630029. The next prime is 6122630047. The reversal of 6122630046 is 6400362216.

It is a junction number, because it is equal to n+sod(n) for n = 6122629995 and 6122630022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6122630047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10760050 + ... + 10760618.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 26122630046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122630046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

6122630046 is an abundant number, since it is smaller than the sum of its proper divisors (7942598754).

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

6122630046 is a wasteful number, since it uses less digits than its factorization.

6122630046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6122630046 is about 78247.2366668626. The cubic root of 6122630046 is about 1829.4168412704.

The spelling of 6122630046 in words is "six billion, one hundred twenty-two million, six hundred thirty thousand, forty-six".

Divisors: 1 2 3 6 13 26 29 39 58 67 71 78 87 134 142 174 201 213 377 402 426 569 754 871 923 1131 1138 1707 1742 1846 1943 2059 2262 2613 2769 3414 3886 4118 4757 5226 5538 5829 6177 7397 9514 11658 12354 14271 14794 16501 22191 25259 26767 28542 33002 38123 40399 44382 49503 50518 53534 61841 75777 76246 80301 80798 99006 114369 121197 123682 137953 151554 160602 185523 214513 228738 242394 275906 371046 413859 429026 495599 525187 643539 827718 991198 1050374 1105567 1171571 1287078 1486797 1575561 1793389 2211134 2343142 2706733 2973594 3151122 3316701 3514713 3586778 5380167 5413466 6633402 7029426 8120199 10760334 14372371 15230423 16240398 28744742 30460846 35187529 43117113 45691269 70375058 78495257 86234226 91382538 105562587 156990514 211125174 235485771 470971542 1020438341 2040876682 3061315023 6122630046