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3768286716 = 2232315216481
BaseRepresentation
bin1110000010011011…
…0111110111111100
3100201121200210120200
43200212313313330
530204140133331
61421531243500
7162244623435
oct34046676774
910647623520
103768286716
111664110647
12891ba9590
1348091266c
1427a67848c
15170c545e6
hexe09b7dfc

3768286716 has 72 divisors (see below), whose sum is σ = 9853054848. Its totient is φ = 1213056000.

The previous prime is 3768286693. The next prime is 3768286721. The reversal of 3768286716 is 6176828673.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578196 + ... + 584676.

It is an arithmetic number, because the mean of its divisors is an integer number (136847984).

Almost surely, 23768286716 is an apocalyptic number.

3768286716 is a gapful number since it is divisible by the number (36) 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 3768286716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926527424).

3768286716 is an abundant number, since it is smaller than the sum of its proper divisors (6084768132).

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

3768286716 is a wasteful number, since it uses less digits than its factorization.

3768286716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7038 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3768286716 is about 61386.3723964855. The cubic root of 3768286716 is about 1556.1375403517.

The spelling of 3768286716 in words is "three billion, seven hundred sixty-eight million, two hundred eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 521 558 1042 1116 1563 2084 3126 4689 6252 6481 9378 12962 16151 18756 19443 25924 32302 38886 48453 58329 64604 77772 96906 116658 145359 193812 200911 233316 290718 401822 581436 602733 803644 1205466 1808199 2410932 3376601 3616398 6753202 7232796 10129803 13506404 20259606 30389409 40519212 60778818 104674631 121557636 209349262 314023893 418698524 628047786 942071679 1256095572 1884143358 3768286716