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5207670160 = 2457113127271
BaseRepresentation
bin1001101100110011…
…01011110110010000
3111102221011001110121
410312121223312100
541131130421120
62220430240024
7243023315560
oct46631536620
914387131417
105207670160
112232659740
121014056014
1364cba0144
143758bcda0
152072c85aa
hex13666bd90

5207670160 has 160 divisors (see below), whose sum is σ = 15583002624. Its totient is φ = 1570752000.

The previous prime is 5207670151. The next prime is 5207670229. The reversal of 5207670160 is 610767025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177325 + ... + 204595.

Almost surely, 25207670160 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 5207670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791501312).

5207670160 is an abundant number, since it is smaller than the sum of its proper divisors (10375332464).

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

5207670160 is a wasteful number, since it uses less digits than its factorization.

5207670160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27333 (or 27327 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 5207670160 is about 72164.1889028069. The cubic root of 5207670160 is about 1733.3296117606.

The spelling of 5207670160 in words is "five billion, two hundred seven million, six hundred seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11935 13640 17360 19096 23870 27271 27280 38192 47740 54542 95480 109084 136355 190897 190960 218168 272710 299981 381794 436336 545420 599962 763588 845401 954485 1090840 1199924 1499905 1527176 1690802 1908970 2099867 2181680 2399848 2999810 3054352 3381604 3817940 4199734 4227005 4799696 5917807 5999620 6763208 7635880 8399468 8454010 9299411 10499335 11835614 11999240 13526416 15271760 16798936 16908020 18598822 20998670 23671228 23998480 29589035 33597872 33816040 37197644 41997340 46497055 47342456 59178070 65095877 67632080 74395288 83994680 92994110 94684912 118356140 130191754 148790576 167989360 185988220 236712280 260383508 325479385 371976440 473424560 520767016 650958770 743952880 1041534032 1301917540 2603835080 5207670160