Search a number
-
+
5151515355 = 345717891201
BaseRepresentation
bin1001100110000110…
…11110001011011011
3111022000111002120000
410303003132023123
541022241442410
62211102504043
7241442105130
oct46303361333
914260432500
105151515355
112203994808
12bb9295023
1364136b44c
1436c262587
152023d4dc0
hex1330de2db

5151515355 has 160 divisors (see below), whose sum is σ = 11309569920. Its totient is φ = 2189721600.

The previous prime is 5151515297. The next prime is 5151515357. The reversal of 5151515355 is 5535151515.

It is not a de Polignac number, because 5151515355 - 27 = 5151515227 is a prime.

It is a super-2 number, since 2×51515153552 = 53076220905601552050, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (5151515357) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4288755 + ... + 4289955.

It is an arithmetic number, because the mean of its divisors is an integer number (70684812).

Almost surely, 25151515355 is an apocalyptic number.

5151515355 is an abundant number, since it is smaller than the sum of its proper divisors (6158054565).

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

5151515355 is a wasteful number, since it uses less digits than its factorization.

5151515355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1322 counting only the distinct ones).

The product of its digits is 46875, while the sum is 36.

The square root of 5151515355 is about 71774.0576740649. The cubic root of 5151515355 is about 1727.0768633365.

The spelling of 5151515355 in words is "five billion, one hundred fifty-one million, five hundred fifteen thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 89 105 119 135 153 189 255 267 315 357 405 445 459 567 595 623 765 801 945 1071 1201 1335 1377 1513 1785 1869 2295 2403 2835 3115 3213 3603 4005 4539 5355 5607 6005 6885 7209 7565 8407 9345 9639 10591 10809 12015 13617 16065 16821 18015 20417 22695 25221 28035 31773 32427 36045 40851 42035 48195 50463 52955 54045 61251 68085 75663 84105 95319 97281 102085 106889 122553 126105 142919 158865 162135 183753 204255 226989 252315 285957 306255 320667 378315 428757 476595 486405 534445 551259 612765 680967 714595 748223 857871 918765 962001 1134945 1286271 1429785 1603335 1653777 1817113 2143785 2244669 2756295 2886003 3404835 3741115 3858813 4289355 4810005 5451339 6431355 6734007 8268885 8658009 9085565 11223345 11576439 12719791 14430015 16354017 19294065 20202021 27256695 33670035 38159373 43290045 49062051 57882195 60606063 63598955 81770085 101010105 114478119 147186153 190796865 245310255 303030315 343434357 572390595 735930765 1030303071 1717171785 5151515355