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5905919136 = 2531317292331
BaseRepresentation
bin1011000000000010…
…10010110010100000
3120020121000202222210
411200001102302200
544043403403021
62414012202120
7266232325065
oct54001226240
916217022883
105905919136
112560812507
121189a69340
13731748510
1440051cc6c
15248751e76
hex160052ca0

5905919136 has 288 divisors, whose sum is σ = 18363578688. Its totient is φ = 1646346240.

The previous prime is 5905919101. The next prime is 5905919137. The reversal of 5905919136 is 6319195095.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5905919137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17842491 + ... + 17842821.

It is an arithmetic number, because the mean of its divisors is an integer number (63762426).

Almost surely, 25905919136 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 5905919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9181789344).

5905919136 is an abundant number, since it is smaller than the sum of its proper divisors (12457659552).

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

5905919136 is a wasteful number, since it uses less digits than its factorization.

5905919136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 48.

The square root of 5905919136 is about 76849.9781132044. The cubic root of 5905919136 is about 1807.5729438795.

The spelling of 5905919136 in words is "five billion, nine hundred five million, nine hundred nineteen thousand, one hundred thirty-six".