Search a number
-
+
715713292980 = 22345717233141127
BaseRepresentation
bin10100110101000111101…
…01100010101010110100
32112102101021211101110000
422122203311202222310
543211240100333410
61304443311431300
7102465020420220
oct12324365425264
92472337741400
10715713292980
1125659454a244
12b6862b25530
13526509caa3a
14268d8163780
151393d817dc0
hexa6a3d62ab4

715713292980 has 1920 divisors, whose sum is σ = 3021465452544. Its totient is φ = 137952460800.

The previous prime is 715713292933. The next prime is 715713292993. The reversal of 715713292980 is 89292317517.

It is a happy number.

715713292980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5635537677 + ... + 5635537803.

Almost surely, 2715713292980 is an apocalyptic number.

715713292980 is a gapful number since it is divisible by the number (70) 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 715713292980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510732726272).

715713292980 is an abundant number, since it is smaller than the sum of its proper divisors (2305752159564).

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

715713292980 is a wasteful number, since it uses less digits than its factorization.

715713292980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 715713292980 in words is "seven hundred fifteen billion, seven hundred thirteen million, two hundred ninety-two thousand, nine hundred eighty".