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2137021056 = 2734533889
BaseRepresentation
bin111111101100000…
…0101101010000000
312111221011220210000
41333120011222000
513334034133211
6552015440000
7103646244042
oct17730055200
95457156700
102137021056
119a7324605
124b7826000
13280980801
14163b65a92
15c792b656
hex7f605a80

2137021056 has 160 divisors (see below), whose sum is σ = 6481401300. Its totient is φ = 698720256.

The previous prime is 2137021037. The next prime is 2137021063. The reversal of 2137021056 is 6501207312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2025000000 + 112021056 = 45000^2 + 10584^2 .

It is a super-3 number, since 3×21370210563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547560 + ... + 551448.

Almost surely, 22137021056 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 2137021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240700650).

2137021056 is an abundant number, since it is smaller than the sum of its proper divisors (4344380244).

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

2137021056 is an equidigital number, since it uses as much as digits as its factorization.

2137021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2137021056 is about 46227.9250669982. The cubic root of 2137021056 is about 1288.0605143694.

Adding to 2137021056 its reverse (6501207312), we get a palindrome (8638228368).

The spelling of 2137021056 in words is "two billion, one hundred thirty-seven million, twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 288 318 324 384 424 432 477 576 636 648 848 864 954 1152 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3456 3816 3889 4293 5088 5184 5724 6784 7632 7778 8586 10176 10368 11448 11667 15264 15556 17172 20352 22896 23334 30528 31112 34344 35001 45792 46668 61056 62224 68688 70002 91584 93336 105003 124448 137376 140004 183168 186672 206117 210006 248896 274752 280008 315009 373344 412234 420012 497792 549504 560016 618351 630018 746688 824468 840024 1120032 1236702 1260036 1493376 1648936 1680048 1855053 2240064 2473404 2520072 3297872 3360096 3710106 4480128 4946808 5040144 5565159 6595744 6720192 7420212 9893616 10080288 11130318 13191488 13440384 14840424 16695477 19787232 20160576 22260636 26382976 29680848 33390954 39574464 40321152 44521272 59361696 66781908 79148928 89042544 118723392 133563816 178085088 237446784 267127632 356170176 534255264 712340352 1068510528 2137021056