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2987345536 = 27717434561
BaseRepresentation
bin1011001000001111…
…0100011010000000
321201012012212200021
42302003310122000
522104230024121
61212233103224
7134013006130
oct26203643200
97635185607
102987345536
1112a3307a0a
126b4557b14
13387ba36a6
14204a70ac0
151273e4641
hexb20f4680

2987345536 has 128 divisors (see below), whose sum is σ = 7370732160. Its totient is φ = 1176698880.

The previous prime is 2987345527. The next prime is 2987345539. The reversal of 2987345536 is 6355437892.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2987345539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652696 + ... + 657256.

It is an arithmetic number, because the mean of its divisors is an integer number (57583845).

Almost surely, 22987345536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2987345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685366080).

2987345536 is an abundant number, since it is smaller than the sum of its proper divisors (4383386624).

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

2987345536 is a wasteful number, since it uses less digits than its factorization.

2987345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4630 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 52.

The square root of 2987345536 is about 54656.6147506411. The cubic root of 2987345536 is about 1440.2188350550.

The spelling of 2987345536 in words is "two billion, nine hundred eighty-seven million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 128 136 172 224 238 272 301 344 448 476 544 602 688 731 896 952 1088 1204 1376 1462 1904 2176 2408 2752 2924 3808 4561 4816 5117 5504 5848 7616 9122 9632 10234 11696 15232 18244 19264 20468 23392 31927 36488 38528 40936 46784 63854 72976 77537 81872 93568 127708 145952 155074 163744 196123 255416 291904 310148 327488 392246 510832 542759 583808 620296 654976 784492 1021664 1085518 1240592 1372861 1568984 2043328 2171036 2481184 2745722 3137968 3334091 4086656 4342072 4962368 5491444 6275936 6668182 8684144 9924736 10982888 12551872 13336364 17368288 21965776 23338637 25103744 26672728 34736576 43931552 46677274 53345456 69473152 87863104 93354548 106690912 175726208 186709096 213381824 373418192 426763648 746836384 1493672768 2987345536