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10637034496 = 2101122932
BaseRepresentation
bin10011110100000010…
…00100010000000000
31000110022110100011121
421322001010100000
5133241040100441
64515300322024
7524411205244
oct117201042000
930408410147
1010637034496
114569368500
12208a3a3314
131006981b6a
1472c9ca424
15423c93dd1
hex27a044400

10637034496 has 99 divisors (see below), whose sum is σ = 23452517893. Its totient is φ = 4818513920.

The previous prime is 10637034469. The next prime is 10637034511. The reversal of 10637034496 is 69443073601.

The square root of 10637034496 is 103136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10064102400 + 572932096 = 100320^2 + 23936^2 .

It is a super-2 number, since 2×106370344962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36303726 + ... + 36304018.

Almost surely, 210637034496 is an apocalyptic number.

10637034496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10637034496 is the 103136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10637034496

10637034496 is an abundant number, since it is smaller than the sum of its proper divisors (12815483397).

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

10637034496 is an frugal number, since it uses more digits than its factorization.

10637034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 10637034496 in words is "ten billion, six hundred thirty-seven million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 293 352 484 512 586 704 968 1024 1172 1408 1936 2344 2816 3223 3872 4688 5632 6446 7744 9376 11264 12892 15488 18752 25784 30976 35453 37504 51568 61952 70906 75008 85849 103136 123904 141812 150016 171698 206272 283624 300032 343396 412544 567248 686792 825088 944339 1134496 1373584 1650176 1888678 2268992 2747168 3300352 3777356 4537984 5494336 7554712 9075968 10387729 10988672 15109424 18151936 20775458 21977344 30218848 36303872 41550916 43954688 60437696 83101832 87909376 120875392 166203664 241750784 332407328 483501568 664814656 967003136 1329629312 2659258624 5318517248 10637034496