Search a number
-
+
10817156928 = 263127547811
BaseRepresentation
bin10100001001100000…
…01011011101000000
31000220212101111200210
422010300023131000
5134123143010203
64545213114120
7532026213444
oct120460133500
930825344623
1010817156928
114651004116
12211a788940
131035099696
147488b6824
154349c3803
hex284c0b740

10817156928 has 112 divisors (see below), whose sum is σ = 28934119424. Its totient is φ = 3566384640.

The previous prime is 10817156891. The next prime is 10817156929. The reversal of 10817156928 is 82965171801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10817156929) 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, 13337643 + ... + 13338453.

It is an arithmetic number, because the mean of its divisors is an integer number (258340352).

Almost surely, 210817156928 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 10817156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467059712).

10817156928 is an abundant number, since it is smaller than the sum of its proper divisors (18116962496).

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

10817156928 is a wasteful number, since it uses less digits than its factorization.

10817156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 10817156928 in words is "ten billion, eight hundred seventeen million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 547 762 811 1016 1094 1524 1622 1641 2032 2188 2433 3048 3244 3282 4064 4376 4866 6096 6488 6564 8128 8752 9732 12192 12976 13128 17504 19464 24384 25952 26256 35008 38928 51904 52512 69469 77856 102997 105024 138938 155712 205994 208407 277876 308991 411988 416814 443617 555752 617982 823976 833628 887234 1111504 1235964 1330851 1647952 1667256 1774468 2223008 2471928 2661702 3295904 3334512 3548936 4446016 4943856 5323404 6591808 6669024 7097872 9887712 10646808 13338048 14195744 19775424 21293616 28391488 42587232 56339359 85174464 112678718 169018077 225357436 338036154 450714872 676072308 901429744 1352144616 1802859488 2704289232 3605718976 5408578464 10817156928