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716919104 = 261117371619
BaseRepresentation
bin101010101110110…
…101000101000000
31211222000021010102
4222232311011000
52432012402404
6155050021532
723523466106
oct5256650500
91758007112
10716919104
11338755a30
121801178a8
13b56b43b5
146b2ddc76
1542e1571e
hex2abb5140

716919104 has 112 divisors (see below), whose sum is σ = 1688713920. Its totient is φ = 298229760.

The previous prime is 716919083. The next prime is 716919107. The reversal of 716919104 is 401919617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716919107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442007 + ... + 443625.

Almost surely, 2716919104 is an apocalyptic number.

716919104 is a gapful number since it is divisible by the number (74) 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 716919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844356960).

716919104 is an abundant number, since it is smaller than the sum of its proper divisors (971794816).

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

716919104 is a wasteful number, since it uses less digits than its factorization.

716919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 716919104 is about 26775.3450771414. The cubic root of 716919104 is about 895.0007194942. Note that the first 3 decimals are identical.

The spelling of 716919104 in words is "seven hundred sixteen million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 136 148 176 187 272 296 352 374 407 544 592 629 704 748 814 1088 1184 1258 1496 1619 1628 2368 2516 2992 3238 3256 5032 5984 6476 6512 6919 10064 11968 12952 13024 13838 17809 20128 25904 26048 27523 27676 35618 40256 51808 55046 55352 59903 71236 103616 110092 110704 119806 142472 220184 221408 239612 284944 302753 440368 442816 479224 569888 605506 658933 880736 958448 1018351 1139776 1211012 1317866 1761472 1916896 2036702 2422024 2635732 3833792 4073404 4844048 5271464 8146808 9688096 10542928 11201861 16293616 19376192 21085856 22403722 32587232 42171712 44807444 65174464 89614888 179229776 358459552 716919104