Search a number
-
+
191148816 = 243171912329
BaseRepresentation
bin10110110010010…
…11001100010000
3111022200100212210
423121023030100
5342413230231
630544552120
74510511115
oct1331131420
9438610783
10191148816
1198997a31
1254022640
13307a8611
141b55a90c
1511baba46
hexb64b310

191148816 has 80 divisors (see below), whose sum is σ = 550411200. Its totient is φ = 56807424.

The previous prime is 191148809. The next prime is 191148823. The reversal of 191148816 is 618841191.

191148816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (191148809) and next prime (191148823).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9340 + ... + 21668.

It is an arithmetic number, because the mean of its divisors is an integer number (6880140).

Almost surely, 2191148816 is an apocalyptic number.

191148816 is a gapful number since it is divisible by the number (16) 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 191148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275205600).

191148816 is an abundant number, since it is smaller than the sum of its proper divisors (359262384).

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

191148816 is a wasteful number, since it uses less digits than its factorization.

191148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12376 (or 12370 counting only the distinct ones).

The product of its digits is 13824, while the sum is 39.

The square root of 191148816 is about 13825.6578866975. The cubic root of 191148816 is about 576.0460514878.

The spelling of 191148816 in words is "one hundred ninety-one million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 12329 15504 24658 36987 49316 73974 98632 147948 197264 209593 234251 295896 419186 468502 591792 628779 702753 838372 937004 1257558 1405506 1676744 1874008 2515116 2811012 3353488 3748016 3982267 5030232 5622024 7964534 10060464 11244048 11946801 15929068 23893602 31858136 47787204 63716272 95574408 191148816