Search a number
-
+
161583960590 = 25132293789107
BaseRepresentation
bin1001011001111100100…
…1111001001000001110
3120110002001201200102222
42112133021321020032
510121410443214330
6202121453015342
714450126001053
oct2263711711016
9513061650388
10161583960590
1162588a2a1a8
1227396184552
1312311477c00
147b6c03102a
15430aa6e0e5
hex259f27920e

161583960590 has 96 divisors (see below), whose sum is σ = 334614797280. Its totient is φ = 56046961152.

The previous prime is 161583960523. The next prime is 161583960667. The reversal of 161583960590 is 95069385161.

161583960590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1615839605902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768817 + ... + 1857923.

It is an arithmetic number, because the mean of its divisors is an integer number (3485570805).

Almost surely, 2161583960590 is an apocalyptic number.

161583960590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161583960590 is an abundant number, since it is smaller than the sum of its proper divisors (173030836690).

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

161583960590 is a wasteful number, since it uses less digits than its factorization.

161583960590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89206 (or 89193 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 53.

The spelling of 161583960590 in words is "one hundred sixty-one billion, five hundred eighty-three million, nine hundred sixty thousand, five hundred ninety".

Divisors: 1 2 5 10 13 26 29 37 58 65 74 130 145 169 185 290 338 370 377 481 754 845 962 1073 1690 1885 2146 2405 3770 4810 4901 5365 6253 9802 10730 12506 13949 24505 27898 31265 49010 62530 69745 89107 139490 178214 181337 362674 445535 891070 906685 1158391 1813370 2316782 2584103 3296959 5168206 5791955 6593918 11583910 12920515 15059083 16484795 25841030 30118166 32969590 33593339 42860467 67186678 75295415 85720934 95611811 150590830 167966695 191223622 214302335 335933390 428604670 436713407 478059055 557186071 873426814 956118110 1114372142 1242953543 2183567035 2485907086 2785930355 4367134070 5571860710 6214767715 12429535430 16158396059 32316792118 80791980295 161583960590