Search a number
-
+
11620769888 = 2571322511223
BaseRepresentation
bin10101101001010011…
…01110000001100000
31002222212112021102202
422310221232001200
5142244404114023
65201041232332
7560654625410
oct126451560140
932885467382
1011620769888
114a23692462
1223039326a8
131132715c00
147c3502640
15480311128
hex2b4a6e060

11620769888 has 144 divisors (see below), whose sum is σ = 28448775936. Its totient is φ = 4575168000.

The previous prime is 11620769869. The next prime is 11620769947. The reversal of 11620769888 is 88896702611.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 9501245 + ... + 9502467.

It is an arithmetic number, because the mean of its divisors is an integer number (197560944).

Almost surely, 211620769888 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 11620769888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224387968).

11620769888 is an abundant number, since it is smaller than the sum of its proper divisors (16828006048).

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

11620769888 is a wasteful number, since it uses less digits than its factorization.

11620769888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 56.

The spelling of 11620769888 in words is "eleven billion, six hundred twenty million, seven hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 251 338 364 416 502 676 728 1004 1183 1223 1352 1456 1757 2008 2366 2446 2704 2912 3263 3514 4016 4732 4892 5408 6526 7028 8032 8561 9464 9784 13052 14056 15899 17122 18928 19568 22841 26104 28112 31798 34244 37856 39136 42419 45682 52208 56224 63596 68488 84838 91364 104416 111293 127192 136976 169676 182728 206687 222586 254384 273952 296933 306973 339352 365456 413374 445172 508768 593866 613946 678704 730912 826748 890344 1187732 1227892 1357408 1446809 1653496 1780688 2148811 2375464 2455784 2893618 3306992 3561376 3990649 4297622 4750928 4911568 5787236 6613984 7981298 8595244 9501856 9823136 11574472 15962596 17190488 23148944 27934543 31925192 34380976 46297888 51878437 55869086 63850384 68761952 103756874 111738172 127700768 207513748 223476344 363149059 415027496 446952688 726298118 830054992 893905376 1452596236 1660109984 2905192472 5810384944 11620769888