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6380014706144 = 25417389748471
BaseRepresentation
bin101110011010111011010…
…0000101001110111100000
3211120220221012020210200022
41130311312200221313200
51314012232231044034
621322534401013012
71225640466135302
oct134656640516740
924526835223608
106380014706144
11203a826a7a772
128705a6024168
1337382c372171
14180b19a17972
15b0e5b06cb2e
hex5cd76829de0

6380014706144 has 96 divisors (see below), whose sum is σ = 13189843033920. Its totient is φ = 3035075788800.

The previous prime is 6380014706141. The next prime is 6380014706201. The reversal of 6380014706144 is 4416074100836.

It is a super-2 number, since 2×63800147061442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6380014706095 and 6380014706104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380014706141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8149829 + ... + 8898299.

It is an arithmetic number, because the mean of its divisors is an integer number (137394198270).

Almost surely, 26380014706144 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 6380014706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594921516960).

6380014706144 is an abundant number, since it is smaller than the sum of its proper divisors (6809828327776).

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

6380014706144 is a wasteful number, since it uses less digits than its factorization.

6380014706144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748684 (or 748676 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 6380014706144 in words is "six trillion, three hundred eighty billion, fourteen million, seven hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 73 82 89 146 164 178 292 328 356 584 656 712 1168 1312 1424 2336 2848 2993 3649 5986 6497 7298 11972 12994 14596 23944 25988 29192 47888 51976 58384 95776 103952 116768 207904 266377 532754 748471 1065508 1496942 2131016 2993884 4262032 5987768 8524064 11975536 23951072 30687311 54638383 61374622 66613919 109276766 122749244 133227838 218553532 245498488 266455676 437107064 490996976 532911352 874214128 981993952 1065822704 1748428256 2131645408 2240173703 2731170679 4480347406 4862816087 5462341358 8960694812 9725632174 10924682716 17921389624 19451264348 21849365432 35842779248 38902528696 43698730864 71685558496 77805057392 87397461728 155610114784 199375459567 398750919134 797501838268 1595003676536 3190007353072 6380014706144