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5136157278 = 2327232251307
BaseRepresentation
bin1001100100010001…
…11000101001011110
3111020221120211020100
410302020320221132
541004324013103
62205353401530
7241164421320
oct46210705136
914227524210
105136157278
1121a6254a8a
12bb41092a6
1363b121b25
1436a1c5610
15200d9e5a3
hex132238a5e

5136157278 has 144 divisors (see below), whose sum is σ = 13391554176. Its totient is φ = 1393524000.

The previous prime is 5136157237. The next prime is 5136157297. The reversal of 5136157278 is 8727516315.

It is a happy number.

5136157278 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 1 + 572 + 78 = 666.

It is a super-2 number, since 2×51361572782 = 52760223168704738568, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16730001 + ... + 16730307.

It is an arithmetic number, because the mean of its divisors is an integer number (92996904).

Almost surely, 25136157278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136157278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695777088).

5136157278 is an abundant number, since it is smaller than the sum of its proper divisors (8255396898).

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

5136157278 is a wasteful number, since it uses less digits than its factorization.

5136157278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 593 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5136157278 is about 71666.9887605165. The cubic root of 5136157278 is about 1725.3588586733.

The spelling of 5136157278 in words is "five billion, one hundred thirty-six million, one hundred fifty-seven thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 251 307 322 414 483 502 529 614 753 921 966 1058 1449 1506 1587 1757 1842 2149 2259 2763 2898 3174 3514 3703 4298 4518 4761 5271 5526 5773 6447 7061 7406 9522 10542 11109 11546 12894 14122 15813 17319 19341 21183 22218 31626 33327 34638 38682 40411 42366 49427 51957 63549 66654 77057 80822 98854 103914 121233 127098 132779 148281 154114 162403 231171 242466 265558 296562 324806 363699 398337 444843 462342 487209 539399 693513 727398 796674 889686 929453 974418 1078798 1136821 1195011 1387026 1461627 1618197 1772311 1858906 2273642 2390022 2788359 2923254 3236394 3410463 3544622 4854591 5316933 5576718 6820926 8365077 9709182 10231389 10633866 12406177 15950799 16730154 20462778 24812354 31901598 37218531 40763153 74437062 81526306 111655593 122289459 223311186 244578918 285342071 366868377 570684142 733736754 856026213 1712052426 2568078639 5136157278