Search a number
-
+
764130758720 = 265721773107367
BaseRepresentation
bin10110001111010011011…
…11100001000001000000
32201001100120211111011212
423013221233201001000
5100004414433234340
61343011542025252
7106130605165400
oct13075157410100
92631316744155
10764130758720
1127507a98a93a
12104115a18228
135709893b754
1428dac628800
1514d242ada65
hexb1e9be1040

764130758720 has 672 divisors, whose sum is σ = 2299352873472. Its totient is φ = 240269524992.

The previous prime is 764130758693. The next prime is 764130758747. The reversal of 764130758720 is 27857031467.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (764130758693) and next prime (764130758747).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2082099977 + ... + 2082100343.

Almost surely, 2764130758720 is an apocalyptic number.

764130758720 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 764130758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149676436736).

764130758720 is an abundant number, since it is smaller than the sum of its proper divisors (1535222114752).

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

764130758720 is a wasteful number, since it uses less digits than its factorization.

764130758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 764130758720 in words is "seven hundred sixty-four billion, one hundred thirty million, seven hundred fifty-eight thousand, seven hundred twenty".