Search a number
-
+
10634763264 = 21033599643
BaseRepresentation
bin10011110011110000…
…11001110000000000
31000110011011221121220
421321320121300000
5133234444411024
64515135515040
7524352665466
oct117170316000
930404157556
1010634763264
114568057054
122089688a80
131006368138
1472c598836
15423995e79
hex279e19c00

10634763264 has 88 divisors (see below), whose sum is σ = 28427425920. Its totient is φ = 3534680064.

The previous prime is 10634763259. The next prime is 10634763281. The reversal of 10634763264 is 46236743601.

It is a super-2 number, since 2×106347632642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098027 + ... + 1107669.

Almost surely, 210634763264 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 10634763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213712960).

10634763264 is an abundant number, since it is smaller than the sum of its proper divisors (17792662656).

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

10634763264 is an equidigital number, since it uses as much as digits as its factorization.

10634763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 10634763264 in words is "ten billion, six hundred thirty-four million, seven hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 512 718 768 1024 1077 1436 1536 2154 2872 3072 4308 5744 8616 9643 11488 17232 19286 22976 28929 34464 38572 45952 57858 68928 77144 91904 115716 137856 154288 183808 231432 275712 308576 367616 462864 551424 617152 925728 1102848 1234304 1851456 2468608 3461837 3702912 4937216 6923674 7405824 9874432 10385511 13847348 14811648 20771022 27694696 29623296 41542044 55389392 83084088 110778784 166168176 221557568 332336352 443115136 664672704 886230272 1329345408 1772460544 2658690816 3544921088 5317381632 10634763264