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1681710552 = 233314952253
BaseRepresentation
bin110010000111100…
…1101110111011000
311100012102202012000
41210033031313120
511421004214202
6434512521000
756450206134
oct14417156730
94305382160
101681710552
11793311035
123ab250160
1320a544902
1411d4c43c4
159c98e91c
hex643cddd8

1681710552 has 64 divisors (see below), whose sum is σ = 4702860000. Its totient is φ = 556797312.

The previous prime is 1681710529. The next prime is 1681710581. The reversal of 1681710552 is 2550171861.

1681710552 is a `hidden beast` number, since 16 + 81 + 7 + 10 + 552 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6058 + ... + 58310.

Almost surely, 21681710552 is an apocalyptic number.

1681710552 is a gapful number since it is divisible by the number (12) 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 1681710552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351430000).

1681710552 is an abundant number, since it is smaller than the sum of its proper divisors (3021149448).

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

1681710552 is a wasteful number, since it uses less digits than its factorization.

1681710552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52417 (or 52407 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1681710552 is about 41008.6643527926. The cubic root of 1681710552 is about 1189.1877214563.

The spelling of 1681710552 in words is "one billion, six hundred eighty-one million, seven hundred ten thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1788 2682 3576 4023 5364 8046 10728 16092 32184 52253 104506 156759 209012 313518 418024 470277 627036 940554 1254072 1410831 1881108 2821662 3762216 5643324 7785697 11286648 15571394 23357091 31142788 46714182 62285576 70071273 93428364 140142546 186856728 210213819 280285092 420427638 560570184 840855276 1681710552