Search a number
-
+
5150013400 = 2352771197263
BaseRepresentation
bin1001100101111011…
…01111011111011000
3111021220122210021001
410302331233133120
541021400412100
62211010354344
7241423251220
oct46275573730
914256583231
105150013400
112203059324
12bb888b9b4
13640c6390c
1436bd91080
152021d9d6a
hex132f6f7d8

5150013400 has 192 divisors, whose sum is σ = 14000532480. Its totient is φ = 1725427200.

The previous prime is 5150013311. The next prime is 5150013413. The reversal of 5150013400 is 43100515.

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, 19581669 + ... + 19581931.

It is an arithmetic number, because the mean of its divisors is an integer number (72919440).

Almost surely, 25150013400 is an apocalyptic number.

5150013400 is a gapful number since it is divisible by the number (50) 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 5150013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000266240).

5150013400 is an abundant number, since it is smaller than the sum of its proper divisors (8850519080).

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

5150013400 is a wasteful number, since it uses less digits than its factorization.

5150013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5150013400 is about 71763.5938341998. The cubic root of 5150013400 is about 1726.9090005045.

Adding to 5150013400 its reverse (43100515), we get a palindrome (5193113915).

The spelling of 5150013400 in words is "five billion, one hundred fifty million, thirteen thousand, four hundred".