Search a number
-
+
10010014432 = 251131971193
BaseRepresentation
bin10010101001010010…
…01011001011100000
3221211121121102100021
421110221023023200
5131000030430212
64333141203224
7503025501355
oct112451131340
927747542307
1010010014432
114277435000
121b34400514
13c36ab5782
146ad60c62c
153d8bda307
hex254a4b2e0

10010014432 has 96 divisors (see below), whose sum is σ = 21804751584. Its totient is φ = 4523115520.

The previous prime is 10010014429. The next prime is 10010014433. The reversal of 10010014432 is 23441001001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010014433) 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, 8390028 + ... + 8391220.

It is an arithmetic number, because the mean of its divisors is an integer number (227132829).

Almost surely, 210010014432 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 10010014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902375792).

10010014432 is an abundant number, since it is smaller than the sum of its proper divisors (11794737152).

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

10010014432 is a wasteful number, since it uses less digits than its factorization.

10010014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10010014432 its reverse (23441001001), we get a palindrome (33451015433).

The spelling of 10010014432 in words is "ten billion, ten million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 197 242 352 394 484 788 968 1193 1331 1576 1936 2167 2386 2662 3152 3872 4334 4772 5324 6304 8668 9544 10648 13123 17336 19088 21296 23837 26246 34672 38176 42592 47674 52492 69344 95348 104984 144353 190696 209968 235021 262207 288706 381392 419936 470042 524414 577412 762784 940084 1048828 1154824 1587883 1880168 2097656 2309648 2585231 3175766 3760336 4195312 4619296 5170462 6351532 7520672 8390624 10340924 12703064 20681848 25406128 28437541 41363696 50812256 56875082 82727392 113750164 227500328 312812951 455000656 625625902 910001312 1251251804 2502503608 5005007216 10010014432