Search a number
-
+
10150317640 = 235574144201
BaseRepresentation
bin10010111010000000…
…11000111001001000
3222012101121120011101
421131000120321020
5131241440131030
64355112311144
7506351163541
oct113500307110
928171546141
1010150317640
114339653971
121b733a24b4
13c59b9ab18
146c40d14c8
153e61a17ca
hex25d018e48

10150317640 has 32 divisors (see below), whose sum is σ = 22842709560. Its totient is φ = 4059328000.

The previous prime is 10150317587. The next prime is 10150317641. The reversal of 10150317640 is 4671305101.

It can be written as a sum of positive squares in 4 ways, for example, as 6434927524 + 3715390116 = 80218^2 + 60954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10150317599 and 10150317608.

It is not an unprimeable number, because it can be changed into a prime (10150317641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207540 + ... + 251740.

Almost surely, 210150317640 is an apocalyptic number.

10150317640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10150317640 is an abundant number, since it is smaller than the sum of its proper divisors (12692391920).

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

10150317640 is a wasteful number, since it uses less digits than its factorization.

10150317640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49953 (or 49949 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10150317640 in words is "ten billion, one hundred fifty million, three hundred seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5741 11482 22964 28705 44201 45928 57410 88402 114820 176804 221005 229640 353608 442010 884020 1768040 253757941 507515882 1015031764 1268789705 2030063528 2537579410 5075158820 10150317640