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27696093966 = 2341731401809
BaseRepresentation
bin11001110010110100…
…001101101100001110
32122111012002100110000
4121302310031230032
5423210200001331
620420131225130
72000222625432
oct316264155416
978435070400
1027696093966
11108227a5362
12544b4481a6
1327c4c830a8
1414aa4809c2
15ac17350e6
hex672d0db0e

27696093966 has 160 divisors (see below), whose sum is σ = 68083234560. Its totient is φ = 8377344000.

The previous prime is 27696093961. The next prime is 27696094009. The reversal of 27696093966 is 66939069672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27696093961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34234570 + ... + 34235378.

It is an arithmetic number, because the mean of its divisors is an integer number (425520216).

Almost surely, 227696093966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27696093966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34041617280).

27696093966 is an abundant number, since it is smaller than the sum of its proper divisors (40387140594).

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

27696093966 is a wasteful number, since it uses less digits than its factorization.

27696093966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 27696093966 in words is "twenty-seven billion, six hundred ninety-six million, ninety-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 401 459 527 558 802 809 837 918 1054 1203 1377 1581 1618 1674 2406 2427 2511 2754 3162 3609 4743 4854 5022 6817 7218 7281 9486 10827 12431 13634 13753 14229 14562 20451 21654 21843 24862 25079 27506 28458 32481 37293 40902 41259 42687 43686 50158 61353 64962 65529 74586 75237 82518 85374 111879 122706 123777 131058 150474 184059 211327 223758 225711 247554 324409 335637 368118 371331 422654 426343 451422 552177 633981 648818 671274 677133 742662 852686 973227 1006911 1104354 1113993 1267962 1279029 1354266 1901943 1946454 2013822 2031399 2227986 2558058 2919681 3803886 3837087 4062798 5514953 5705829 5839362 7674174 8759043 10056679 11029906 11411658 11511261 16544859 17117487 17518086 20113358 23022522 26277129 30170037 33089718 34234974 34533783 49634577 52554258 60340074 69067566 90510111 99269154 148903731 170963543 181020222 271530333 297807462 341927086 446711193 512890629 543060666 814590999 893422386 1025781258 1538671887 1629181998 3077343774 4616015661 9232031322 13848046983 27696093966