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1688716836 = 22367612
BaseRepresentation
bin110010010100111…
…1100011000100100
311100200121201000000
41210221330120210
511424302414321
6435323021300
756563566462
oct14451743044
94320551000
101688716836
11797266a54
123b166a830
1320bb28941
141203c9832
159d3c5826
hex64a7c624

1688716836 has 63 divisors (see below), whose sum is σ = 4436684833. Its totient is φ = 562165920.

The previous prime is 1688716823. The next prime is 1688716849. The reversal of 1688716836 is 6386178861.

The square root of 1688716836 is 41094.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1688716823) and next prime (1688716849).

It can be written as a sum of positive squares in only one way, i.e., 4435236 + 1684281600 = 2106^2 + 41040^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2218696 + ... + 2219456.

Almost surely, 21688716836 is an apocalyptic number.

1688716836 is the 41094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688716836

1688716836 is an abundant number, since it is smaller than the sum of its proper divisors (2747967997).

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

1688716836 is an frugal number, since it uses more digits than its factorization.

1688716836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 766 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The cubic root of 1688716836 is about 1190.8368841830.

The spelling of 1688716836 in words is "one billion, six hundred eighty-eight million, seven hundred sixteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 761 972 1458 1522 2283 2916 3044 4566 6849 9132 13698 20547 27396 41094 61641 82188 123282 184923 246564 369846 554769 579121 739692 1109538 1158242 1737363 2219076 2316484 3474726 5212089 6949452 10424178 15636267 20848356 31272534 46908801 62545068 93817602 140726403 187635204 281452806 422179209 562905612 844358418 1688716836