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13015361016 = 2333710780449
BaseRepresentation
bin11000001111100011…
…01010010111111000
31020121001200211211000
430013301222113320
5203123413023031
65551300205000
7640350512640
oct140761522770
936531624730
1013015361016
115579917409
122632999760
1312c561c768
148b6807520
155129883e6
hex307c6a5f8

13015361016 has 128 divisors (see below), whose sum is σ = 41705280000. Its totient is φ = 3683874816.

The previous prime is 13015360993. The next prime is 13015361039. The reversal of 13015361016 is 61016351031.

13015361016 is a `hidden beast` number, since 1 + 30 + 1 + 5 + 3 + 610 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13015360993) and next prime (13015361039).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121560 + ... + 202008.

It is an arithmetic number, because the mean of its divisors is an integer number (325822500).

Almost surely, 213015361016 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 13015361016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852640000).

13015361016 is an abundant number, since it is smaller than the sum of its proper divisors (28689918984).

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

13015361016 is a wasteful number, since it uses less digits than its factorization.

13015361016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80578 (or 80568 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13015361016 in words is "thirteen billion, fifteen million, three hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4494 5778 5992 6741 7704 8988 11556 13482 17976 20223 23112 26964 40446 53928 80449 80892 160898 161784 241347 321796 482694 563143 643592 724041 965388 1126286 1448082 1689429 1930776 2172123 2252572 2896164 3378858 4344246 4505144 5068287 5792328 6757716 8608043 8688492 10136574 13515432 15204861 17216086 17376984 20273148 25824129 30409722 34432172 40546296 51648258 60256301 60819444 68864344 77472387 103296516 120512602 121638888 154944774 180768903 206593032 232417161 241025204 309889548 361537806 464834322 482050408 542306709 619779096 723075612 929668644 1084613418 1446151224 1626920127 1859337288 2169226836 3253840254 4338453672 6507680508 13015361016