Search a number
-
+
3857586677476 = 227253226472
BaseRepresentation
bin111000001000101010000…
…101010110011011100100
3111122210002211220100001021
4320020222011112123210
51001200314142134401
612112052330140524
7545462410512100
oct70105205263344
914583084810037
103857586677476
111257aa2126604
12523761b81744
1321c9cc264b5c
14d49cb3c4900
156a5284802a1
hex3822a1566e4

3857586677476 has 81 divisors (see below), whose sum is σ = 8006933613609. Its totient is φ = 1621445218848.

The previous prime is 3857586677471. The next prime is 3857586677533. The reversal of 3857586677476 is 6747766857583.

The square root of 3857586677476 is 1964074.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2780923112100 + 1076663565376 = 1667610^2 + 1037624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3857586677396 and 3857586677405.

It is not an unprimeable number, because it can be changed into a prime (3857586677471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1457341585 + ... + 1457344231.

Almost surely, 23857586677476 is an apocalyptic number.

3857586677476 is the 1964074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857586677476

3857586677476 is an abundant number, since it is smaller than the sum of its proper divisors (4149346936133).

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

3857586677476 is an frugal number, since it uses more digits than its factorization.

3857586677476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 2709 counting only the distinct ones).

The product of its digits is 9957427200, while the sum is 79.

The spelling of 3857586677476 in words is "three trillion, eight hundred fifty-seven billion, five hundred eighty-six million, six hundred seventy-seven thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 2647 2809 5194 5294 5618 10388 10588 11236 18529 19663 37058 39326 74116 78652 129703 137641 140291 259406 275282 280582 518812 550564 561164 982037 1964074 3928148 6874259 7006609 7435423 13748518 14013218 14870846 27497036 28026436 29741692 49046263 52047961 98092526 104095922 196185052 208191844 343323841 364335727 371350277 686647682 728671454 742700554 1373295364 1457342908 1485401108 2599451939 5198903878 10397807756 18196163573 19681564681 36392327146 39363129362 72784654292 78726258724 137770952767 275541905534 551083811068 964396669369 1928793338738 3857586677476