Search a number
-
+
770532092928 = 21034135397139
BaseRepresentation
bin10110011011001110100…
…10101010110000000000
32201122212201001221220000
423031213102222300000
5100111022203433203
61345551052520000
7106445334503343
oct13154722526000
92648781057800
10770532092928
11277865307a94
12105401780000
1357878bc5180
142941886845a
151509b2704a3
hexb3674aac00

770532092928 has 880 divisors, whose sum is σ = 2569088823840. Its totient is φ = 228559159296.

The previous prime is 770532092867. The next prime is 770532092969. The reversal of 770532092928 is 829290235077.

It is a super-2 number, since 2×7705320929282 (a number of 25 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 5543396283 + ... + 5543396421.

It is an arithmetic number, because the mean of its divisors is an integer number (2919419118).

Almost surely, 2770532092928 is an apocalyptic number.

770532092928 is a gapful number since it is divisible by the number (78) 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 770532092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284544411920).

770532092928 is an abundant number, since it is smaller than the sum of its proper divisors (1798556730912).

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

770532092928 is a wasteful number, since it uses less digits than its factorization.

770532092928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 770532092928 in words is "seven hundred seventy billion, five hundred thirty-two million, ninety-two thousand, nine hundred twenty-eight".