Search a number
-
+
6410961564 = 223789857539
BaseRepresentation
bin1011111100001111…
…11000001010011100
3121112210100120221220
411332013320022130
5101112201232224
62540053053340
7314604163020
oct57607701234
917483316856
106410961564
11279a903347
1212ab027250
137b22777a7
1444b628380
15277c64279
hex17e1f829c

6410961564 has 48 divisors (see below), whose sum is σ = 17288006400. Its totient is φ = 1811120256.

The previous prime is 6410961563. The next prime is 6410961593. The reversal of 6410961564 is 4651690146.

It is a super-2 number, since 2×64109615642 = 82200856350170652192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410961563) 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, 421294 + ... + 436245.

It is an arithmetic number, because the mean of its divisors is an integer number (360166800).

Almost surely, 26410961564 is an apocalyptic number.

It is an amenable number.

6410961564 is an abundant number, since it is smaller than the sum of its proper divisors (10877044836).

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

6410961564 is a wasteful number, since it uses less digits than its factorization.

6410961564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857642 (or 857640 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6410961564 is about 80068.4804651618. The cubic root of 6410961564 is about 1857.6949095504.

The spelling of 6410961564 in words is "six billion, four hundred ten million, nine hundred sixty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 857539 1715078 2572617 3430156 5145234 6002773 10290468 12005546 18008319 24011092 36016638 72033276 76320971 152641942 228962913 305283884 457925826 534246797 915851652 1068493594 1602740391 2136987188 3205480782 6410961564