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9141952050 = 23252721137691
BaseRepresentation
bin10001000001110011…
…10001111000110010
3212121010012021121200
420200321301320302
5122210314431200
64111051432030
7442355211300
oct104071617062
925533167550
109141952050
113971436980
121931755616
13b28cc1caa
1462a207270
153878bb800
hex220e71e32

9141952050 has 216 divisors, whose sum is σ = 31169625552. Its totient is φ = 1899576000.

The previous prime is 9141952037. The next prime is 9141952063. The reversal of 9141952050 is 502591419.

9141952050 is a `hidden beast` number, since 91 + 41 + 9 + 520 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9141952037) and next prime (9141952063).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9141951996 and 9141952014.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 223705 + ... + 261395.

It is an arithmetic number, because the mean of its divisors is an integer number (144303822).

Almost surely, 29141952050 is an apocalyptic number.

9141952050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9141952050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584812776).

9141952050 is an abundant number, since it is smaller than the sum of its proper divisors (22027673502).

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

9141952050 is a wasteful number, since it uses less digits than its factorization.

9141952050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37734 (or 37719 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9141952050 is about 95613.5557857776. Note that the first 3 decimals coincide. The cubic root of 9141952050 is about 2090.9628317831.

It can be divided in two parts, 9141 and 952050, that added together give a triangular number (961191 = T1386).

The spelling of 9141952050 in words is "nine billion, one hundred forty-one million, nine hundred fifty-two thousand, fifty".