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6120414211332 = 2232922099288929
BaseRepresentation
bin101100100010000010100…
…0111010110110100000100
3210200002212012010021112010
41121010011013112310010
51300234102014230312
621003402433254220
71201120366264611
oct131040507266404
923602765107463
106120414211332
111a4a720299693
1282a216404370
133551ca2c3115
14172330159508
15a93154ac93c
hex591051d6d04

6120414211332 has 72 divisors (see below), whose sum is σ = 14797492164000. Its totient is φ = 1968843226112.

The previous prime is 6120414211297. The next prime is 6120414211337. The reversal of 6120414211332 is 2331124140216.

It is a self number, because there is not a number n which added to its sum of digits gives 6120414211332.

It is not an unprimeable number, because it can be changed into a prime (6120414211337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21038644 + ... + 21327572.

It is an arithmetic number, because the mean of its divisors is an integer number (205520724500).

Almost surely, 26120414211332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120414211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398746082000).

6120414211332 is an abundant number, since it is smaller than the sum of its proper divisors (8677077952668).

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

6120414211332 is a wasteful number, since it uses less digits than its factorization.

6120414211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291093 (or 291062 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 6120414211332 its reverse (2331124140216), we get a palindrome (8451538351548).

The spelling of 6120414211332 in words is "six trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 841 1682 2099 2523 3364 4198 5046 6297 8396 10092 12594 25188 60871 121742 182613 243484 288929 365226 577858 730452 866787 1155716 1733574 1765259 3467148 3530518 5295777 7061036 8378941 10591554 16757882 21183108 25136823 33515764 50273646 100547292 242989289 485978578 606461971 728967867 971957156 1212923942 1457935734 1819385913 2425847884 2915871468 3638771826 7277543652 17587397159 35174794318 52762191477 70349588636 105524382954 211048765908 510034517611 1020069035222 1530103552833 2040138070444 3060207105666 6120414211332