Search a number
-
+
10041738000 = 243537475087
BaseRepresentation
bin10010101101000100…
…01100001100010000
3221220211022010220020
421112202030030100
5131031141104000
64340233143440
7503562236040
oct112642141420
927824263806
1010041738000
114293332428
121b42b5ab80
13c40542108
146b3909720
153db8a4ba0
hex25688c310

10041738000 has 320 divisors, whose sum is σ = 37794152448. Its totient is φ = 2245977600.

The previous prime is 10041737977. The next prime is 10041738001. The reversal of 10041738000 is 83714001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10041738001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1971457 + ... + 1976543.

Almost surely, 210041738000 is an apocalyptic number.

10041738000 is a gapful number since it is divisible by the number (10) 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 10041738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897076224).

10041738000 is an abundant number, since it is smaller than the sum of its proper divisors (27752414448).

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

10041738000 is a wasteful number, since it uses less digits than its factorization.

10041738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10041738000 in words is "ten billion, forty-one million, seven hundred thirty-eight thousand".