Search a number
-
+
507280119696 = 2432726121392
BaseRepresentation
bin1110110000111000100…
…00000101011110010000
31210111101020001010000100
413120130100011132100
531302402202312241
61025012525252400
751435605605200
oct7303420053620
91714336033010
10507280119696
11186155448149
1282393104100
1338ab44b09cc
141a7a405a400
15d2ded309b6
hex761c405790

507280119696 has 405 divisors, whose sum is σ = 1691147141073. Its totient is φ = 141535537920.

The previous prime is 507280119649. The next prime is 507280119701. The reversal of 507280119696 is 696911082705.

The square root of 507280119696 is 712236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16495806096 + 490784313600 = 128436^2 + 700560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3649497195 + ... + 3649497333.

Almost surely, 2507280119696 is an apocalyptic number.

507280119696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

507280119696 is the 712236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507280119696

507280119696 is an abundant number, since it is smaller than the sum of its proper divisors (1183867021377).

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

507280119696 is a wasteful number, since it uses less digits than its factorization.

507280119696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 507280119696 in words is "five hundred seven billion, two hundred eighty million, one hundred nineteen thousand, six hundred ninety-six".