Search a number
-
+
5145100632 = 23327611131481
BaseRepresentation
bin1001100101010110…
…00000000101011000
3111021120102012012200
410302223000011120
541014121210012
62210313210200
7241333430250
oct46253000530
914246365180
105145100632
112200303291
12bb7100960
1363cc33759
1436b472960
15201a693dc
hex132ac0158

5145100632 has 192 divisors, whose sum is σ = 16340650560. Its totient is φ = 1432166400.

The previous prime is 5145100579. The next prime is 5145100651. The reversal of 5145100632 is 2360015415.

5145100632 is a `hidden beast` number, since 5 + 14 + 5 + 10 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5145100596 and 5145100605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473332 + ... + 3474812.

It is an arithmetic number, because the mean of its divisors is an integer number (85107555).

Almost surely, 25145100632 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 5145100632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170325280).

5145100632 is an abundant number, since it is smaller than the sum of its proper divisors (11195549928).

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

5145100632 is a wasteful number, since it uses less digits than its factorization.

5145100632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5145100632 is about 71729.3568352596. The cubic root of 5145100632 is about 1726.3597072801.

The spelling of 5145100632 in words is "five billion, one hundred forty-five million, one hundred thousand, six hundred thirty-two".