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136914199416 = 233237103498973
BaseRepresentation
bin111111110000010111…
…0001110001101111000
3111002101210012222010200
41333200232032031320
54220400013340131
6142521510242200
712614601331101
oct1774056161570
9432353188120
10136914199416
1153079550525
1222650356360
13cbac4990a7
1468ab88d3a8
153864d802e6
hex1fe0b8e378

136914199416 has 96 divisors (see below), whose sum is σ = 384529323360. Its totient is φ = 43973404416.

The previous prime is 136914199403. The next prime is 136914199489. The reversal of 136914199416 is 614991419631.

136914199416 is a `hidden beast` number, since 1 + 36 + 9 + 1 + 4 + 199 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24906 + ... + 523878.

It is an arithmetic number, because the mean of its divisors is an integer number (4005513785).

Almost surely, 2136914199416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136914199416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192264661680).

136914199416 is an abundant number, since it is smaller than the sum of its proper divisors (247615123944).

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

136914199416 is a wasteful number, since it uses less digits than its factorization.

136914199416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499125 (or 499118 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 136914199416 in words is "one hundred thirty-six billion, nine hundred fourteen million, one hundred ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 103 111 148 206 222 296 309 333 412 444 618 666 824 888 927 1236 1332 1854 2472 2664 3708 3811 7416 7622 11433 15244 22866 30488 34299 45732 68598 91464 137196 274392 498973 997946 1496919 1995892 2993838 3991784 4490757 5987676 8981514 11975352 17963028 18462001 35926056 36924002 51394219 55386003 73848004 102788438 110772006 147696008 154182657 166158009 205576876 221544012 308365314 332316018 411153752 443088024 462547971 616730628 664632036 925095942 1233461256 1329264072 1850191884 1901586103 3700383768 3803172206 5704758309 7606344412 11409516618 15212688824 17114274927 22819033236 34228549854 45638066472 68457099708 136914199416