Search a number
-
+
38833669308 = 223719239101807
BaseRepresentation
bin100100001010101010…
…101100010010111100
310201020101101210120110
4210022222230102330
51114012404404213
625501232150020
72543222512530
oct441252542274
9121211353513
1038833669308
1115518659585
127639398310
13387b549265
141c45723bc0
1510243ec5c3
hex90aaac4bc

38833669308 has 96 divisors (see below), whose sum is σ = 109463961600. Its totient is φ = 10467285696.

The previous prime is 38833669283. The next prime is 38833669309. The reversal of 38833669308 is 80396633883.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38833669309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330541 + ... + 432347.

It is an arithmetic number, because the mean of its divisors is an integer number (1140249600).

Almost surely, 238833669308 is an apocalyptic number.

38833669308 is a gapful number since it is divisible by the number (38) 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 38833669308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54731980800).

38833669308 is an abundant number, since it is smaller than the sum of its proper divisors (70630292292).

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

38833669308 is a wasteful number, since it uses less digits than its factorization.

38833669308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102079 (or 102077 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 38833669308 in words is "thirty-eight billion, eight hundred thirty-three million, six hundred sixty-nine thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 239 266 399 478 532 717 798 956 1434 1596 1673 2868 3346 4541 5019 6692 9082 10038 13623 18164 20076 27246 31787 54492 63574 95361 101807 127148 190722 203614 305421 381444 407228 610842 712649 1221684 1425298 1934333 2137947 2850596 3868666 4275894 5802999 7737332 8551788 11605998 13540331 23211996 24331873 27080662 40620993 48663746 54161324 72995619 81241986 97327492 145991238 162483972 170323111 291982476 340646222 462305587 510969333 681292444 924611174 1021938666 1386916761 1849222348 2043877332 2773833522 3236139109 5547667044 6472278218 9708417327 12944556436 19416834654 38833669308