Search a number
-
+
191288108952 = 233519291071669
BaseRepresentation
bin1011001000100110101…
…0001110011110011000
3200021202012022202200000
42302021222032132120
511113224223441302
6223513200013000
716551204045513
oct2621152163630
9607665282600
10191288108952
1174141172546
12310a6001160
1315066465465
149389065d7a
154e9870831c
hex2c89a8e798

191288108952 has 384 divisors, whose sum is σ = 590859360000. Its totient is φ = 57744078336.

The previous prime is 191288108941. The next prime is 191288108983. The reversal of 191288108952 is 259801882191.

It is a super-2 number, since 2×1912881089522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114611574 + ... + 114613242.

It is an arithmetic number, because the mean of its divisors is an integer number (1538696250).

Almost surely, 2191288108952 is an apocalyptic number.

191288108952 is a gapful number since it is divisible by the number (12) 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 191288108952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295429680000).

191288108952 is an abundant number, since it is smaller than the sum of its proper divisors (399571251048).

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

191288108952 is a wasteful number, since it uses less digits than its factorization.

191288108952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 191288108952 in words is "one hundred ninety-one billion, two hundred eighty-eight million, one hundred eight thousand, nine hundred fifty-two".