Search a number
-
+
10173409376 = 2513314171271
BaseRepresentation
bin10010111100110000…
…11110100001100000
3222021000001202001212
421132120132201200
5131313343100001
64401255245252
7510051360434
oct113630364140
928230052055
1010173409376
114350696049
121b7b079828
13c618c4580
146c71c29c4
153e82137bb
hex25e61e860

10173409376 has 192 divisors, whose sum is σ = 23215030272. Its totient is φ = 4354560000.

The previous prime is 10173409321. The next prime is 10173409387. The reversal of 10173409376 is 67390437101.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37540121 + ... + 37540391.

It is an arithmetic number, because the mean of its divisors is an integer number (120911616).

Almost surely, 210173409376 is an apocalyptic number.

10173409376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10173409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607515136).

10173409376 is an abundant number, since it is smaller than the sum of its proper divisors (13041620896).

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

10173409376 is a wasteful number, since it uses less digits than its factorization.

10173409376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The spelling of 10173409376 in words is "ten billion, one hundred seventy-three million, four hundred nine thousand, three hundred seventy-six".