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5013511038 = 234171995813
BaseRepresentation
bin1001010101101010…
…00001101101111110
3110221101210202020000
410222311001231332
540231424323123
62145252535130
7235145066154
oct45265015576
913841722200
105013511038
112142aa6058
12b7b0214a6
1361b8ac5a3
14357bbb3d4
151e5224b43
hex12ad41b7e

5013511038 has 80 divisors (see below), whose sum is σ = 12520973520. Its totient is φ = 1490068224.

The previous prime is 5013510977. The next prime is 5013511049. The reversal of 5013511038 is 8301153105.

5013511038 is a `hidden beast` number, since 501 + 3 + 51 + 103 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 4420 + ... + 100232.

It is an arithmetic number, because the mean of its divisors is an integer number (156512169).

Almost surely, 25013511038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013511038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260486760).

5013511038 is an abundant number, since it is smaller than the sum of its proper divisors (7507462482).

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

5013511038 is a wasteful number, since it uses less digits than its factorization.

5013511038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95863 (or 95854 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5013511038 is about 70806.1511310988. The cubic root of 5013511038 is about 1711.5147980756.

The spelling of 5013511038 in words is "five billion, thirteen million, five hundred eleven thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2754 2907 3078 5814 8721 17442 26163 52326 95813 191626 287439 574878 862317 1628821 1724634 1820447 2586951 3257642 3640894 4886463 5173902 5461341 7760853 9772926 10922682 14659389 15521706 16384023 29318778 30947599 32768046 43978167 49152069 61895198 87956334 92842797 98304138 131934501 147456207 185685594 263869002 278528391 294912414 557056782 835585173 1671170346 2506755519 5013511038