Search a number
-
+
106435372362 = 23114873311411
BaseRepresentation
bin110001100100000001…
…0101110010101001010
3101011201122221010112020
41203020002232111022
53220434423403422
6120521251225310
710455365511024
oct1431002562512
9334648833466
10106435372362
1141158aa1660
1218764ba8236
13a062b53197
145219a01014
152b7e1c195c
hex18c80ae54a

106435372362 has 32 divisors (see below), whose sum is σ = 232699544064. Its totient is φ = 32186905200.

The previous prime is 106435372297. The next prime is 106435372363. The reversal of 106435372362 is 263273534601.

It is a super-2 number, since 2×1064353723622 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106435372363) 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, 1623564 + ... + 1687847.

It is an arithmetic number, because the mean of its divisors is an integer number (7271860752).

Almost surely, 2106435372362 is an apocalyptic number.

106435372362 is an abundant number, since it is smaller than the sum of its proper divisors (126264171702).

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

106435372362 is a wasteful number, since it uses less digits than its factorization.

106435372362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311914.

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 106435372362 in words is "one hundred six billion, four hundred thirty-five million, three hundred seventy-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 487 974 1461 2922 5357 10714 16071 32142 3311411 6622822 9934233 19868466 36425521 72851042 109276563 218553126 1612657157 3225314314 4837971471 9675942942 17739228727 35478457454 53217686181 106435372362