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2132671632 = 243713488249
BaseRepresentation
bin111111100011101…
…1111110010010000
312111121222221111020
41333013133302100
513331430443012
6551342315440
7103564260360
oct17707376220
95447887436
102132671632
119a4923843
124b6288b80
1327cab9ba0
141633529a0
15c736ca8c
hex7f1dfc90

2132671632 has 80 divisors (see below), whose sum is σ = 6780816000. Its totient is φ = 562461696.

The previous prime is 2132671561. The next prime is 2132671669. The reversal of 2132671632 is 2361762312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2132671593 and 2132671602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239757 + ... + 248492.

It is an arithmetic number, because the mean of its divisors is an integer number (84760200).

Almost surely, 22132671632 is an apocalyptic number.

It is an amenable number.

2132671632 is an abundant number, since it is smaller than the sum of its proper divisors (4648144368).

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

2132671632 is a wasteful number, since it uses less digits than its factorization.

2132671632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488280 (or 488274 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2132671632 is about 46180.8578525778. The cubic root of 2132671632 is about 1287.1860687081.

The spelling of 2132671632 in words is "two billion, one hundred thirty-two million, six hundred seventy-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 488249 976498 1464747 1952996 2929494 3417743 3905992 5858988 6347237 6835486 7811984 10253229 11717976 12694474 13670972 19041711 20506458 23435952 25388948 27341944 38083422 41012916 44430659 50777896 54683888 76166844 82025832 88861318 101555792 133291977 152333688 164051664 177722636 266583954 304667376 355445272 533167908 710890544 1066335816 2132671632