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1602664168 = 23728534793
BaseRepresentation
bin101111110000110…
…1011011011101000
311010200200202221011
41133201223123220
511240240223133
6423010353304
754500264200
oct13741533350
94120622834
101602664168
11752731346
1238888b834
131c70595c1
14112bc9400
1595a786cd
hex5f86b6e8

1602664168 has 48 divisors (see below), whose sum is σ = 3500434980. Its totient is φ = 685907712.

The previous prime is 1602664159. The next prime is 1602664247. The reversal of 1602664168 is 8614662061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1595363364 + 7300804 = 39942^2 + 2702^2 .

It is a super-2 number, since 2×16026641682 = 5137064870782264448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1602664168.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331980 + ... + 336772.

Almost surely, 21602664168 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 1602664168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750217490).

1602664168 is an abundant number, since it is smaller than the sum of its proper divisors (1897770812).

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

1602664168 is a wasteful number, since it uses less digits than its factorization.

1602664168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1602664168 is about 40033.2882486563. The cubic root of 1602664168 is about 1170.2559081786.

The spelling of 1602664168 in words is "one billion, six hundred two million, six hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 853 1706 3412 4793 5971 6824 9586 11942 19172 23884 33551 38344 41797 47768 67102 83594 134204 167188 234857 268408 334376 469714 939428 1878856 4088429 8176858 16353716 28619003 32707432 57238006 114476012 200333021 228952024 400666042 801332084 1602664168