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5107201506 = 232111710191489
BaseRepresentation
bin1001100000110100…
…11011010111100010
3111011221002201101100
410300122123113202
540424420422011
62202441015230
7240363332211
oct46032332742
914157081340
105107201506
1121909780a0
12ba6484516
13635124234
14366409078
151ed57ed56
hex13069b5e2

5107201506 has 96 divisors (see below), whose sum is σ = 12802795200. Its totient is φ = 1454192640.

The previous prime is 5107201493. The next prime is 5107201507. The reversal of 5107201506 is 6051027015.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5107201506.

It is not an unprimeable number, because it can be changed into a prime (5107201507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429210 + ... + 3430698.

It is an arithmetic number, because the mean of its divisors is an integer number (133362450).

Almost surely, 25107201506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107201506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401397600).

5107201506 is an abundant number, since it is smaller than the sum of its proper divisors (7695593694).

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

5107201506 is a wasteful number, since it uses less digits than its factorization.

5107201506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5107201506 is about 71464.6871258806. The cubic root of 5107201506 is about 1722.1104329295.

The spelling of 5107201506 in words is "five billion, one hundred seven million, two hundred one thousand, five hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1019 1122 1489 1683 2038 2978 3057 3366 4467 6114 8934 9171 11209 13401 16379 17323 18342 22418 25313 26802 32758 33627 34646 49137 50626 51969 67254 75939 98274 100881 103938 147411 151878 155907 190553 201762 227817 278443 294822 311814 381106 455634 556886 571659 835329 1143318 1517291 1670658 1714977 2505987 3034582 3429954 4551873 5011974 9103746 13655619 16690201 25793947 27311238 33380402 50070603 51587894 77381841 100141206 150211809 154763682 232145523 283733417 300423618 464291046 567466834 851200251 1702400502 2553600753 5107201506