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5150400000 = 293552937
BaseRepresentation
bin1001100101111110…
…01101111000000000
3111021221101102120120
410302333031320000
541022000300000
62211022540240
7241426451304
oct46277157000
914257342516
105150400000
1122032a2829
12bb8a37680
1364106a885
1436c051d04
152022646a0
hex132fcde00

5150400000 has 480 divisors, whose sum is σ = 18221021280. Its totient is φ = 1290240000.

The previous prime is 5150399981. The next prime is 5150400011. The reversal of 5150400000 is 40515.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 139199982 + ... + 139200018.

It is an arithmetic number, because the mean of its divisors is an integer number (37960461).

Almost surely, 25150400000 is an apocalyptic number.

5150400000 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 5150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110510640).

5150400000 is an abundant number, since it is smaller than the sum of its proper divisors (13070621280).

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

5150400000 is an frugal number, since it uses more digits than its factorization.

5150400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5150400000 is about 71766.2873499807. The cubic root of 5150400000 is about 1726.9522111568.

Adding to 5150400000 its reverse (40515), we get a palindrome (5150440515).

The spelling of 5150400000 in words is "five billion, one hundred fifty million, four hundred thousand".