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3687062496 = 2531310727611
BaseRepresentation
bin1101101111000100…
…0001101111100000
3100111221212011220020
43123301001233200
530022341444441
61405510313440
7160240341225
oct33361015740
910457764806
103687062496
111622283697
1286a958880
13469b43cb0
1426d97394c
15168a5ce66
hexdbc41be0

3687062496 has 96 divisors (see below), whose sum is σ = 10520834688. Its totient is φ = 1123837440.

The previous prime is 3687062443. The next prime is 3687062551. The reversal of 3687062496 is 6942607863.

It is a happy number.

3687062496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119731 + ... + 147341.

It is an arithmetic number, because the mean of its divisors is an integer number (109592028).

Almost surely, 23687062496 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 3687062496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260417344).

3687062496 is an abundant number, since it is smaller than the sum of its proper divisors (6833772192).

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

3687062496 is a wasteful number, since it uses less digits than its factorization.

3687062496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27744 (or 27736 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 3687062496 is about 60721.1865496714. The cubic root of 3687062496 is about 1544.8755493016.

The spelling of 3687062496 in words is "three billion, six hundred eighty-seven million, sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 107 156 208 214 312 321 416 428 624 642 856 1248 1284 1391 1712 2568 2782 3424 4173 5136 5564 8346 10272 11128 16692 22256 27611 33384 44512 55222 66768 82833 110444 133536 165666 220888 331332 358943 441776 662664 717886 883552 1076829 1325328 1435772 2153658 2650656 2871544 2954377 4307316 5743088 5908754 8614632 8863131 11486176 11817508 17229264 17726262 23635016 34458528 35452524 38406901 47270032 70905048 76813802 94540064 115220703 141810096 153627604 230441406 283620192 307255208 460882812 614510416 921765624 1229020832 1843531248 3687062496