Search a number
-
+
46641121632 = 2532723135477
BaseRepresentation
bin101011011100000001…
…110000100101100000
311110101111111110201100
4223130001300211200
51231010111343012
633232053034400
73240544664310
oct533401604540
9143344443640
1046641121632
1118864774016
129058025a00
134523c14131
1423865c9440
15132ea618dc
hexadc070960

46641121632 has 72 divisors (see below), whose sum is σ = 151583651856. Its totient is φ = 13326034176.

The previous prime is 46641121627. The next prime is 46641121649. The reversal of 46641121632 is 23612114664.

46641121632 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 1 + 12 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11565723 + ... + 11569754.

It is an arithmetic number, because the mean of its divisors is an integer number (2105328498).

Almost surely, 246641121632 is an apocalyptic number.

46641121632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46641121632 is an abundant number, since it is smaller than the sum of its proper divisors (104942530224).

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

46641121632 is a wasteful number, since it uses less digits than its factorization.

46641121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135500 (or 23135489 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 46641121632 in words is "forty-six billion, six hundred forty-one million, one hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 23135477 46270954 69406431 92541908 138812862 161948339 185083816 208219293 277625724 323896678 370167632 416438586 485845017 555251448 647793356 740335264 832877172 971690034 1110502896 1295586712 1457535051 1665754344 1943380068 2221005792 2591173424 2915070102 3331508688 3886760136 5182346848 5830140204 6663017376 7773520272 11660280408 15547040544 23320560816 46641121632