Search a number
-
+
106562651460 = 22354143318151
BaseRepresentation
bin110001100111110100…
…0010000010101000100
3101012001112102120121220
41203033220100111010
53221220014321320
6120542035240340
710461502410066
oct1431750202504
9335045376556
10106562651460
11412139252a1
121879b7490b0
13a083328365
14522c893736
152b8a463e40
hex18cfa10544

106562651460 has 48 divisors (see below), whose sum is σ = 305652880512. Its totient is φ = 27723616000.

The previous prime is 106562651449. The next prime is 106562651513. The reversal of 106562651460 is 64156265601.

It is a super-2 number, since 2×1065626514602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21656616 + ... + 21661535.

It is an arithmetic number, because the mean of its divisors is an integer number (6367768344).

Almost surely, 2106562651460 is an apocalyptic number.

106562651460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106562651460 is an abundant number, since it is smaller than the sum of its proper divisors (199090229052).

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

106562651460 is a wasteful number, since it uses less digits than its factorization.

106562651460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43318204 (or 43318202 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 106562651460 in words is "one hundred six billion, five hundred sixty-two million, six hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 43318151 86636302 129954453 173272604 216590755 259908906 433181510 519817812 649772265 866363020 1299544530 1776044191 2599089060 3552088382 5328132573 7104176764 8880220955 10656265146 17760441910 21312530292 26640662865 35520883820 53281325730 106562651460