Search a number
-
+
36868533520 = 2457137171329
BaseRepresentation
bin100010010101100010…
…010010110100010000
310112011102122120001111
4202111202102310100
51101001321033040
624534232343104
72443431235630
oct422542226420
9115142576044
1036868533520
11146aa364a15
12718b244a94
13362738ac10
141ada7426c0
15e5bb24dea
hex895892d10

36868533520 has 160 divisors (see below), whose sum is σ = 106988152320. Its totient is φ = 11503779840.

The previous prime is 36868533433. The next prime is 36868533557. The reversal of 36868533520 is 2533586863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481216 + ... + 552544.

It is an arithmetic number, because the mean of its divisors is an integer number (668675952).

Almost surely, 236868533520 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 36868533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53494076160).

36868533520 is an abundant number, since it is smaller than the sum of its proper divisors (70119618800).

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

36868533520 is a wasteful number, since it uses less digits than its factorization.

36868533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71433 (or 71427 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 36868533520 in words is "thirty-six billion, eight hundred sixty-eight million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 71 80 91 104 112 130 140 142 182 208 260 280 284 355 364 455 497 520 560 568 710 728 910 923 994 1040 1136 1420 1456 1820 1846 1988 2485 2840 3640 3692 3976 4615 4970 5680 6461 7280 7384 7952 9230 9940 12922 14768 18460 19880 25844 32305 36920 39760 51688 64610 71329 73840 103376 129220 142658 258440 285316 356645 499303 516880 570632 713290 927277 998606 1141264 1426580 1854554 1997212 2496515 2853160 3709108 3994424 4636385 4993030 5064359 5706320 6490939 7418216 7988848 9272770 9986060 10128718 12981878 14836432 18545540 19972120 20257436 25321795 25963756 32454695 35450513 37091080 39944240 40514872 50643590 51927512 64909390 65836667 70901026 74182160 81029744 101287180 103855024 129818780 131673334 141802052 177252565 202574360 259637560 263346668 283604104 329183335 354505130 405148720 460856669 519275120 526693336 567208208 658366670 709010260 921713338 1053386672 1316733340 1418020520 1843426676 2304283345 2633466680 2836041040 3686853352 4608566690 5266933360 7373706704 9217133380 18434266760 36868533520