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413327037936 = 24331222134049
BaseRepresentation
bin1100000001111000011…
…01100001010111110000
31110111212110202001011110
412000330031201113300
523232443210203221
6513514012513320
741601425566011
oct6007415412760
91414773661143
10413327037936
1114a32237923a
126813247b840
132cc906b67c7
141601013d008
15ab418ea776
hex603c3615f0

413327037936 has 120 divisors (see below), whose sum is σ = 1104087704400. Its totient is φ = 133238138880.

The previous prime is 413327037923. The next prime is 413327037979. The reversal of 413327037936 is 639730723314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 102079240 + ... + 102083288.

It is an arithmetic number, because the mean of its divisors is an integer number (9200730870).

Almost surely, 2413327037936 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 413327037936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552043852200).

413327037936 is an abundant number, since it is smaller than the sum of its proper divisors (690760666464).

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

413327037936 is a wasteful number, since it uses less digits than its factorization.

413327037936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 48.

The spelling of 413327037936 in words is "four hundred thirteen billion, three hundred twenty-seven million, thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2213 2883 3844 4049 4426 5766 6639 7688 8098 8852 11532 12147 13278 15376 16196 17704 23064 24294 26556 32392 35408 46128 48588 53112 64784 68603 97176 106224 125519 137206 194352 205809 251038 274412 376557 411618 502076 548824 753114 823236 1004152 1097648 1506228 1646472 2008304 2126693 3012456 3292944 3891089 4253386 6024912 6380079 7782178 8506772 8960437 11673267 12760158 15564356 17013544 17920874 23346534 25520316 26881311 31128712 34027088 35841748 46693068 51040632 53762622 62257424 71683496 93386136 102081264 107525244 143366992 186772272 215050488 277773547 430100976 555547094 833320641 1111094188 1666641282 2222188376 3333282564 4444376752 6666565128 8610979957 13333130256 17221959914 25832939871 34443919828 51665879742 68887839656 103331759484 137775679312 206663518968 413327037936