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10634891008 = 28721749871
BaseRepresentation
bin10011110011110001…
…11000111100000000
31000110011102102212011
421321320320330000
5133240013003013
64515142342304
7524354040100
oct117170707400
930404372764
1010634891008
114568134025
12208972a994
1310063b1321
1472c5cd200
154239bdc3d
hex279e38f00

10634891008 has 108 divisors (see below), whose sum is σ = 26147191392. Its totient is φ = 4289617920.

The previous prime is 10634890999. The next prime is 10634891009. The reversal of 10634891008 is 80019843601.

It is a super-2 number, since 2×106348910082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634891009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188313 + ... + 238183.

It is an arithmetic number, because the mean of its divisors is an integer number (242103624).

Almost surely, 210634891008 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 10634891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073595696).

10634891008 is an abundant number, since it is smaller than the sum of its proper divisors (15512300384).

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

10634891008 is an equidigital number, since it uses as much as digits as its factorization.

10634891008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49918 (or 49897 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 10634891008 in words is "ten billion, six hundred thirty-four million, eight hundred ninety-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 544 784 833 896 952 1088 1568 1666 1792 1904 2176 3136 3332 3808 4352 6272 6664 7616 12544 13328 15232 26656 30464 49871 53312 99742 106624 199484 213248 349097 398968 698194 797936 847807 1396388 1595872 1695614 2443679 2792776 3191744 3391228 4887358 5585552 5934649 6383488 6782456 9774716 11171104 11869298 12766976 13564912 19549432 22342208 23738596 27129824 39098864 41542543 44684416 47477192 54259648 78197728 83085086 89368832 94954384 108519296 156395456 166170172 189908768 217038592 312790912 332340344 379817536 625581824 664680688 759635072 1329361376 1519270144 2658722752 5317445504 10634891008