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766701468 = 2232131638251
BaseRepresentation
bin101101101100101…
…110111110011100
31222102200110200200
4231230232332130
53032233421333
6204025023500
724666566151
oct5554567634
91872613620
10766701468
11363868185
12194924b90
13c2ac4710
1473b7c228
154749ac13
hex2db2ef9c

766701468 has 36 divisors (see below), whose sum is σ = 2087133048. Its totient is φ = 235908000.

The previous prime is 766701437. The next prime is 766701469. The reversal of 766701468 is 864107667.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7667014682 = 1175662282066710048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766701469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818658 + ... + 819593.

It is an arithmetic number, because the mean of its divisors is an integer number (57975918).

Almost surely, 2766701468 is an apocalyptic number.

766701468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

766701468 is an abundant number, since it is smaller than the sum of its proper divisors (1320431580).

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

766701468 is a wasteful number, since it uses less digits than its factorization.

766701468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638274 (or 1638269 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 766701468 is about 27689.3746408257. The cubic root of 766701468 is about 915.2549750763.

The spelling of 766701468 in words is "seven hundred sixty-six million, seven hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1638251 3276502 4914753 6553004 9829506 14744259 19659012 21297263 29488518 42594526 58977036 63891789 85189052 127783578 191675367 255567156 383350734 766701468