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2653464132 = 22321161109847
BaseRepresentation
bin1001111000101000…
…1010011001000100
320211220221221111100
42132022022121010
520413241323012
61115144540100
7122520034014
oct23612123104
96756857440
102653464132
1111418a1970
12620781630
13333972027
141b259bc44
15107e418dc
hex9e28a644

2653464132 has 72 divisors (see below), whose sum is σ = 7437148992. Its totient is φ = 790891200.

The previous prime is 2653464131. The next prime is 2653464157. The reversal of 2653464132 is 2314643562.

2653464132 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 4 + 641 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2653464131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30768 + ... + 79079.

It is an arithmetic number, because the mean of its divisors is an integer number (103293736).

Almost surely, 22653464132 is an apocalyptic number.

2653464132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2653464132 is an abundant number, since it is smaller than the sum of its proper divisors (4783684860).

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

2653464132 is a wasteful number, since it uses less digits than its factorization.

2653464132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109929 (or 109924 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2653464132 is about 51511.7863406036. The cubic root of 2653464132 is about 1384.4302299112.

The spelling of 2653464132 in words is "two billion, six hundred fifty-three million, four hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 24156 109847 219694 329541 439388 659082 988623 1208317 1318164 1977246 2416634 3624951 3954492 4833268 6700667 7249902 10874853 13401334 14499804 20102001 21749706 26802668 40204002 43499412 60306003 73707337 80408004 120612006 147414674 221122011 241224012 294829348 442244022 663366033 884488044 1326732066 2653464132