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11531368408 = 2374147106859
BaseRepresentation
bin10101011110101001…
…01011011111011000
31002202122022012122211
422233110223133120
5142104012242113
65144125124504
7555521004610
oct125724533730
932678265584
1011531368408
11498817a83a
1222999b9734
13111a043521
147b56ada40
15477551b3d
hex2af52b7d8

11531368408 has 64 divisors (see below), whose sum is σ = 25851571200. Its totient is φ = 4718849280.

The previous prime is 11531368363. The next prime is 11531368427. The reversal of 11531368408 is 80486313511.

It is a happy number.

It is a super-2 number, since 2×115313684082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54483 + ... + 161341.

It is an arithmetic number, because the mean of its divisors is an integer number (403930800).

Almost surely, 211531368408 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 11531368408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925785600).

11531368408 is an abundant number, since it is smaller than the sum of its proper divisors (14320202792).

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

11531368408 is a wasteful number, since it uses less digits than its factorization.

11531368408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106960 (or 106956 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 11531368408 in words is "eleven billion, five hundred thirty-one million, three hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 41 47 56 82 94 164 188 287 328 329 376 574 658 1148 1316 1927 2296 2632 3854 7708 13489 15416 26978 53956 106859 107912 213718 427436 748013 854872 1496026 2992052 4381219 5022373 5984104 8762438 10044746 17524876 20089492 30668533 35049752 35156611 40178984 61337066 70313222 122674132 140626444 205917293 245348264 281252888 411834586 823669172 1441421051 1647338344 2882842102 5765684204 11531368408