Search a number
-
+
525039130980 = 223557132294767
BaseRepresentation
bin1111010001111101100…
…01010101100101100100
31212012012212202100200000
413220332301111211210
532100240004142410
61041111042421300
752634646656250
oct7507661254544
91765185670600
10525039130980
111927389a1181
128590a661830
133a684805400
141b5aa875260
15d9cde84dc0
hex7a3ec55964

525039130980 has 1728 divisors, whose sum is σ = 2191609405440. Its totient is φ = 103119464448.

The previous prime is 525039130961. The next prime is 525039130997. The reversal of 525039130980 is 89031930525.

525039130980 is a `hidden beast` number, since 5 + 2 + 503 + 9 + 130 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7836404907 + ... + 7836404973.

It is an arithmetic number, because the mean of its divisors is an integer number (1268292480).

Almost surely, 2525039130980 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 525039130980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095804702720).

525039130980 is an abundant number, since it is smaller than the sum of its proper divisors (1666570274460).

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

525039130980 is a wasteful number, since it uses less digits than its factorization.

525039130980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 525039130980 in words is "five hundred twenty-five billion, thirty-nine million, one hundred thirty thousand, nine hundred eighty".