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4052643672 = 2337114215209
BaseRepresentation
bin1111000110001110…
…0110111101011000
3101110102202121222210
43301203212331120
531244434044142
61510050115120
7202266621450
oct36143467530
911412677883
104052643672
11179a6801a0
1295127baa0
134c77c420c
142a6338d60
1518abc349c
hexf18e6f58

4052643672 has 128 divisors (see below), whose sum is σ = 12664051200. Its totient is φ = 1049932800.

The previous prime is 4052643649. The next prime is 4052643689. The reversal of 4052643672 is 2763462504.

It is a self number, because there is not a number n which added to its sum of digits gives 4052643672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775404 + ... + 780612.

It is an arithmetic number, because the mean of its divisors is an integer number (98937900).

Almost surely, 24052643672 is an apocalyptic number.

4052643672 is a gapful number since it is divisible by the number (42) 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 4052643672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332025600).

4052643672 is an abundant number, since it is smaller than the sum of its proper divisors (8611407528).

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

4052643672 is a wasteful number, since it uses less digits than its factorization.

4052643672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4052643672 is about 63660.3775672121. The cubic root of 4052643672 is about 1594.3346080526.

The spelling of 4052643672 in words is "four billion, fifty-two million, six hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 421 462 616 842 924 1263 1684 1848 2526 2947 3368 4631 5052 5209 5894 8841 9262 10104 10418 11788 13893 15627 17682 18524 20836 23576 27786 31254 32417 35364 36463 37048 41672 55572 57299 62508 64834 70728 72926 97251 109389 111144 114598 125016 129668 145852 171897 194502 218778 229196 259336 291704 343794 389004 401093 437556 458392 687588 778008 802186 875112 1203279 1375176 1604372 2192989 2406558 3208744 4385978 4813116 6578967 8771956 9626232 13157934 15350923 17543912 24122879 26315868 30701846 46052769 48245758 52631736 61403692 72368637 92105538 96491516 122807384 144737274 168860153 184211076 192983032 289474548 337720306 368422152 506580459 578949096 675440612 1013160918 1350881224 2026321836 4052643672