Search a number
-
+
3838770841734 = 23471352994573
BaseRepresentation
bin110111110111001000100…
…100101000100010000110
3111120222112112120211210000
4313313020210220202012
51000343300313413414
612055301301342130
7544225214530113
oct67671044504206
914528475524700
103838770841734
111250017077734
1251bb90707946
1321acc0cc883a
14d3b244a990a
1569cc6672b09
hex37dc8928886

3838770841734 has 80 divisors (see below), whose sum is σ = 8725404805920. Its totient is φ = 1261197060480.

The previous prime is 3838770841733. The next prime is 3838770841781. The reversal of 3838770841734 is 4371480778383.

3838770841734 is a `hidden beast` number, since 3 + 8 + 387 + 7 + 0 + 84 + 173 + 4 = 666.

It is a super-2 number, since 2×38387708417342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838770841733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40543272 + ... + 40637844.

It is an arithmetic number, because the mean of its divisors is an integer number (109067560074).

Almost surely, 23838770841734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838770841734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362702402960).

3838770841734 is an abundant number, since it is smaller than the sum of its proper divisors (4886633964186).

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

3838770841734 is a wasteful number, since it uses less digits than its factorization.

3838770841734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98187 (or 98178 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 3838770841734 in words is "three trillion, eight hundred thirty-eight billion, seven hundred seventy million, eight hundred forty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3529 3834 5751 7058 10587 11502 21174 31761 63522 94573 95283 189146 190566 250559 283719 285849 501118 567438 571698 751677 851157 1503354 1702314 2255031 2553471 4510062 5106942 6714683 6765093 7660413 13429366 13530186 15320826 20144049 20295279 40288098 40590558 60432147 120864294 181296441 333748117 362592882 543889323 667496234 1001244351 1087778646 2002488702 3003733053 6007466106 9011199159 18022398318 23696116307 27033597477 47392232614 54067194954 71088348921 142176697842 213265046763 426530093526 639795140289 1279590280578 1919385420867 3838770841734