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5681417652 = 22339725591
BaseRepresentation
bin1010100101010001…
…11000110110110100
3112122221120220212000
411102220320312310
543113420331102
62335432255300
7260535152601
oct52250706664
915587526760
105681417652
112456015199
121126841530
136c7092bc1
143bc79d6a8
15233ba801c
hex152a38db4

5681417652 has 72 divisors (see below), whose sum is σ = 14885680320. Its totient is φ = 1873946880.

The previous prime is 5681417633. The next prime is 5681417653. The reversal of 5681417652 is 2567141865.

5681417652 is a `hidden beast` number, since 568 + 14 + 1 + 76 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5681417598 and 5681417607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5681417653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013377 + ... + 1018967.

It is an arithmetic number, because the mean of its divisors is an integer number (206745560).

Almost surely, 25681417652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5681417652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442840160).

5681417652 is an abundant number, since it is smaller than the sum of its proper divisors (9204262668).

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

5681417652 is a wasteful number, since it uses less digits than its factorization.

5681417652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5693 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5681417652 is about 75375.1792833689. The cubic root of 5681417652 is about 1784.3727080458.

The spelling of 5681417652 in words is "five billion, six hundred eighty-one million, four hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 5591 9409 10476 11182 16773 18818 22364 28227 33546 37636 50319 56454 67092 84681 100638 112908 150957 169362 201276 254043 301914 338724 508086 542327 603828 1016172 1084654 1626981 2169308 3253962 4880943 6507924 9761886 14642829 19523772 29285658 52605719 58571316 105211438 157817157 210422876 315634314 473451471 631268628 946902942 1420354413 1893805884 2840708826 5681417652