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2081545632 = 253223314243
BaseRepresentation
bin111110000010001…
…1101110110100000
312101001210110210200
41330010131312200
513230333430012
6542314425200
7102403563105
oct17404356640
95331713720
102081545632
11978a84051
124a1132200
1327232910a
1415a644aac
15c2b1e3dc
hex7c11dda0

2081545632 has 72 divisors (see below), whose sum is σ = 6176780064. Its totient is φ = 663679104.

The previous prime is 2081545619. The next prime is 2081545657. The reversal of 2081545632 is 2365451802.

2081545632 is a `hidden beast` number, since 2 + 0 + 8 + 15 + 4 + 5 + 632 = 666.

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

It is a super-3 number, since 3×20815456323 (a number of 29 digits) contains 333 as substring.

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

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, 150498 + ... + 163745.

It is an arithmetic number, because the mean of its divisors is an integer number (85788612).

Almost surely, 22081545632 is an apocalyptic number.

It is an amenable number.

2081545632 is an abundant number, since it is smaller than the sum of its proper divisors (4095234432).

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

2081545632 is a wasteful number, since it uses less digits than its factorization.

2081545632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314282 (or 314271 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2081545632 is about 45623.9589689453. The cubic root of 2081545632 is about 1276.8169674757.

The spelling of 2081545632 in words is "two billion, eighty-one million, five hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 314243 628486 942729 1256972 1885458 2513944 2828187 3770916 5027888 5656374 7227589 7541832 10055776 11312748 14455178 15083664 21682767 22625496 28910356 30167328 43365534 45250992 57820712 65048301 86731068 90501984 115641424 130096602 173462136 231282848 260193204 346924272 520386408 693848544 1040772816 2081545632