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6045642433104 = 243712143827791
BaseRepresentation
bin101011111111001110001…
…0111101010001001010000
3210101221212012211101111120
41113332130113222021100
51243022433430324404
620505155122442240
71162532440536231
oct127763427521120
923357765741446
106045642433104
111a20a405a8a4a
12817829503380
1334b1423a5971
1416c8798cd088
15a73daec69d9
hex57f9c5ea250

6045642433104 has 80 divisors (see below), whose sum is σ = 15845289836544. Its totient is φ = 1985901321600.

The previous prime is 6045642433093. The next prime is 6045642433183. The reversal of 6045642433104 is 4013342465406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6889449 + ... + 7717239.

Almost surely, 26045642433104 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 6045642433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922644918272).

6045642433104 is an abundant number, since it is smaller than the sum of its proper divisors (9799647403440).

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

6045642433104 is a wasteful number, since it uses less digits than its factorization.

6045642433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830016 (or 830010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

It can be divided in two parts, 6045642 and 433104, that added together give a palindrome (6478746).

The spelling of 6045642433104 in words is "six trillion, forty-five billion, six hundred forty-two million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 2143 3408 4286 6429 8572 12858 17144 25716 34288 51432 102864 152153 304306 456459 608612 827791 912918 1217224 1655582 1825836 2434448 2483373 3311164 3651672 4966746 6622328 7303344 9933492 13244656 19866984 39733968 58773161 117546322 176319483 235092644 352638966 470185288 705277932 940370576 1410555864 1773956113 2821111728 3547912226 5321868339 7095824452 10643736678 14191648904 21287473356 28383297808 42574946712 85149893424 125950884023 251901768046 377852652069 503803536092 755705304138 1007607072184 1511410608276 2015214144368 3022821216552 6045642433104