Search a number
-
+
10502400432 = 2431297168697
BaseRepresentation
bin10011100011111110…
…11110100110110000
31000002221010012221210
421301333132212300
5133002103303212
64454050520120
7521154634146
oct116177364660
930087105853
1010502400432
1144aa370987
122051296040
13cb4b03034
14718b81596
1541704c53c
hex271fde9b0

10502400432 has 40 divisors (see below), whose sum is σ = 27152280496. Its totient is φ = 3498080256.

The previous prime is 10502400421. The next prime is 10502400497. The reversal of 10502400432 is 23400420501.

It is a super-2 number, since 2×105024004322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10502400399 and 10502400408.

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, 22093 + ... + 146604.

Almost surely, 210502400432 is an apocalyptic number.

10502400432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10502400432 is an abundant number, since it is smaller than the sum of its proper divisors (16649880064).

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

10502400432 is a wasteful number, since it uses less digits than its factorization.

10502400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170005 (or 169999 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10502400432 its reverse (23400420501), we get a palindrome (33902820933).

The spelling of 10502400432 in words is "ten billion, five hundred two million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1297 2594 3891 5188 7782 10376 15564 20752 31128 62256 168697 337394 506091 674788 1012182 1349576 2024364 2699152 4048728 8097456 218800009 437600018 656400027 875200036 1312800054 1750400072 2625600108 3500800144 5251200216 10502400432