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60400911114 = 2334133182421
BaseRepresentation
bin111000010000001011…
…001100001100001010
312202220102222012102000
4320100023030030022
51442200113123424
643425305051430
74235535162525
oct702013141412
9182812865360
1060400911114
1123685815565
12b858186b76
13590782a3bb
142ccdc13bbc
151887a463c9
hexe102cc30a

60400911114 has 64 divisors (see below), whose sum is σ = 137915084160. Its totient is φ = 19582992000.

The previous prime is 60400911101. The next prime is 60400911121. The reversal of 60400911114 is 41111900406.

60400911114 is a `hidden beast` number, since 60 + 400 + 91 + 1 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691624 + ... + 774044.

It is an arithmetic number, because the mean of its divisors is an integer number (2154923190).

Almost surely, 260400911114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60400911114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68957542080).

60400911114 is an abundant number, since it is smaller than the sum of its proper divisors (77514173046).

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

60400911114 is a wasteful number, since it uses less digits than its factorization.

60400911114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82804 (or 82798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 60400911114 in words is "sixty billion, four hundred million, nine hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 331 369 662 738 993 1107 1986 2214 2979 5958 8937 13571 17874 27142 40713 81426 82421 122139 164842 244278 247263 366417 494526 732834 741789 1483578 2225367 3379261 4450734 6758522 10137783 20275566 27281351 30413349 54562702 60826698 81844053 91240047 163688106 182480094 245532159 491064318 736596477 1118535391 1473192954 2237070782 3355606173 6711212346 10066818519 20133637038 30200455557 60400911114