Search a number
-
+
155838408310 = 2513192313720023
BaseRepresentation
bin1001000100100010110…
…0010110011001110110
3112220020122110101102101
42101020230112121312
510023124113031220
6155331405532314
714154551420554
oct2211054263166
9486218411371
10155838408310
11600aa79a792
1226251b7409a
131190701b130
147784d38bd4
1540c144830a
hex2448b16676

155838408310 has 128 divisors (see below), whose sum is σ = 334250219520. Its totient is φ = 51758631936.

The previous prime is 155838408277. The next prime is 155838408311. The reversal of 155838408310 is 13804838551.

It is a super-2 number, since 2×1558384083102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155838408311) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7772959 + ... + 7792981.

It is an arithmetic number, because the mean of its divisors is an integer number (2611329840).

Almost surely, 2155838408310 is an apocalyptic number.

155838408310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155838408310 is an abundant number, since it is smaller than the sum of its proper divisors (178411811210).

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

155838408310 is a wasteful number, since it uses less digits than its factorization.

155838408310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222.

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 155838408310 in words is "one hundred fifty-five billion, eight hundred thirty-eight million, four hundred eight thousand, three hundred ten".

Divisors: 1 2 5 10 13 19 23 26 38 46 65 95 115 130 137 190 230 247 274 299 437 494 598 685 874 1235 1370 1495 1781 2185 2470 2603 2990 3151 3562 4370 5206 5681 6302 8905 11362 13015 15755 17810 20023 26030 28405 31510 33839 40046 40963 56810 59869 67678 81926 100115 119738 169195 200230 204815 260299 299345 338390 380437 409630 460529 520598 598690 760874 778297 921058 1301495 1556594 1902185 2302645 2602990 2743151 3804370 3891485 4605290 4945681 5486302 5986877 7782970 8750051 9891362 11973754 13715755 17500102 24728405 27431510 29934385 35660963 43750255 49456810 52119869 59868770 63092473 71321926 87500510 104239738 113750663 126184946 178304815 227501326 260599345 315462365 356609630 521198690 568753315 630924730 677558297 820202149 1137506630 1198756987 1355116594 1640404298 2397513974 3387791485 4101010745 5993784935 6775582970 8202021490 11987569870 15583840831 31167681662 77919204155 155838408310