Search a number
-
+
38160891712 = 261724314787
BaseRepresentation
bin100011100010100100…
…001111111101000000
310122111111110011012201
4203202210033331000
51111123142013322
625310400202544
72520443141026
oct434244177500
9118444404181
1038160891712
1115202912839
127490009454
1337a204b7c8
141bc0234716
15ed5305d27
hex8e290ff40

38160891712 has 84 divisors (see below), whose sum is σ = 80645471424. Its totient is φ = 17912657920.

The previous prime is 38160891707. The next prime is 38160891731. The reversal of 38160891712 is 21719806183.

It is a happy number.

It is a congruent number.

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, 7969383 + ... + 7974169.

It is an arithmetic number, because the mean of its divisors is an integer number (960065136).

Almost surely, 238160891712 is an apocalyptic number.

38160891712 is a gapful number since it is divisible by the number (32) 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 38160891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40322735712).

38160891712 is an abundant number, since it is smaller than the sum of its proper divisors (42484579712).

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

38160891712 is a wasteful number, since it uses less digits than its factorization.

38160891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 38160891712 in words is "thirty-eight billion, one hundred sixty million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 431 544 578 862 1088 1156 1724 2312 3448 4624 4787 6896 7327 9248 9574 13792 14654 18496 19148 27584 29308 38296 58616 76592 81379 117232 124559 153184 162758 234464 249118 306368 325516 468928 498236 651032 996472 1302064 1383443 1992944 2063197 2604128 2766886 3985888 4126394 5208256 5533772 7971776 8252788 11067544 16505576 22135088 33011152 35074349 44270176 66022304 70148698 88540352 132044608 140297396 280594792 561189584 596263933 1122379168 1192527866 2244758336 2385055732 4770111464 9540222928 19080445856 38160891712