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2132876544 = 28337471597
BaseRepresentation
bin111111100100001…
…0001110100000000
312111122101100120120
41333020101310000
513332004022134
6551350540240
7103566102651
oct17710216400
95448340516
102132876544
119a4a53797
124b6367680
1327cb5c236
141633a7528
15c73ad649
hex7f211d00

2132876544 has 144 divisors (see below), whose sum is σ = 5957753088. Its totient is φ = 676601856.

The previous prime is 2132876527. The next prime is 2132876561. The reversal of 2132876544 is 4456782312.

It is an interprime number because it is at equal distance from previous prime (2132876527) and next prime (2132876561).

It is a junction number, because it is equal to n+sod(n) for n = 2132876496 and 2132876505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1334754 + ... + 1336350.

Almost surely, 22132876544 is an apocalyptic number.

2132876544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978876544).

2132876544 is an abundant number, since it is smaller than the sum of its proper divisors (3824876544).

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

2132876544 is a wasteful number, since it uses less digits than its factorization.

2132876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1686 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2132876544 is about 46183.0763808562. The cubic root of 2132876544 is about 1287.2272926547.

The spelling of 2132876544 in words is "two billion, one hundred thirty-two million, eight hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 128 141 148 188 192 222 256 282 296 376 384 444 564 592 752 768 888 1128 1184 1504 1597 1739 1776 2256 2368 3008 3194 3478 3552 4512 4736 4791 5217 6016 6388 6956 7104 9024 9472 9582 10434 12032 12776 13912 14208 18048 19164 20868 25552 27824 28416 36096 38328 41736 51104 55648 59089 75059 76656 83472 102208 111296 118178 150118 153312 166944 177267 204416 222592 225177 236356 300236 306624 333888 354534 408832 445184 450354 472712 600472 613248 667776 709068 900708 945424 1200944 1226496 1335552 1418136 1801416 1890848 2401888 2777183 2836272 3602832 3781696 4803776 5554366 5672544 7205664 7563392 8331549 9607552 11108732 11345088 14411328 15126784 16663098 19215104 22217464 22690176 28822656 33326196 44434928 45380352 57645312 66652392 88869856 133304784 177739712 266609568 355479424 533219136 710958848 1066438272 2132876544