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50369147136 = 28337111719293
BaseRepresentation
bin101110111010001111…
…000011000100000000
311211000022102210022000
4232322033003010000
51311124000202021
635050025344000
73432123454320
oct567217030400
9154008383260
1050369147136
111a3a8085830
129918638000
13499939b099
14261b783280
15149beb1b26
hexbba3c3100

50369147136 has 1152 divisors, whose sum is σ = 207683481600. Its totient is φ = 11625431040.

The previous prime is 50369147123. The next prime is 50369147159. The reversal of 50369147136 is 63174196305.

It is a happy number.

50369147136 is a `hidden beast` number, since 503 + 6 + 9 + 1 + 4 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 50369147091 and 50369147100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171908206 + ... + 171908498.

It is an arithmetic number, because the mean of its divisors is an integer number (180280800).

Almost surely, 250369147136 is an apocalyptic number.

50369147136 is a gapful number since it is divisible by the number (56) 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 50369147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103841740800).

50369147136 is an abundant number, since it is smaller than the sum of its proper divisors (157314334464).

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

50369147136 is a wasteful number, since it uses less digits than its factorization.

50369147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 50369147136 in words is "fifty billion, three hundred sixty-nine million, one hundred forty-seven thousand, one hundred thirty-six".