Search a number
-
+
645633064560 = 243511459153269
BaseRepresentation
bin10010110010100101011…
…10101011111001110000
32021201111021111220212110
421121102232223321300
541034224031031220
61212333313125320
764434250333401
oct11312256537160
92251437456773
10645633064560
112298a20403a0
12a5165259840
1348b62a73063
142336aa259a8
1511bdb15abe0
hex9652babe70

645633064560 has 160 divisors (see below), whose sum is σ = 2183930219520. Its totient is φ = 156480076800.

The previous prime is 645633064513. The next prime is 645633064621. The reversal of 645633064560 is 65460336546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12093606 + ... + 12146874.

It is an arithmetic number, because the mean of its divisors is an integer number (13649563872).

Almost surely, 2645633064560 is an apocalyptic number.

645633064560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645633064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091965109760).

645633064560 is an abundant number, since it is smaller than the sum of its proper divisors (1538297154960).

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

645633064560 is a wasteful number, since it uses less digits than its factorization.

645633064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57887 (or 57881 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 645633064560 in words is "six hundred forty-five billion, six hundred thirty-three million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4591 9182 13773 18364 22955 27546 36728 45910 50501 53269 55092 68865 73456 91820 101002 106538 110184 137730 151503 159807 183640 202004 213076 220368 252505 266345 275460 303006 319614 367280 404008 426152 505010 532690 550920 585959 606012 639228 757515 799035 808016 852304 1010020 1065380 1101840 1171918 1212024 1278456 1515030 1598070 1757877 2020040 2130760 2343836 2424048 2556912 2929795 3030060 3196140 3515754 4040080 4261520 4687672 5859590 6060120 6392280 7031508 8789385 9375344 11719180 12120240 12784560 14063016 17578770 23438360 28126032 35157540 46876720 70315080 140630160 244557979 489115958 733673937 978231916 1222789895 1467347874 1956463832 2445579790 2690137769 2934695748 3668369685 3912927664 4891159580 5380275538 5869391496 7336739370 8070413307 9782319160 10760551076 11738782992 13450688845 14673478740 16140826614 19564638320 21521102152 26901377690 29346957480 32281653228 40352066535 43042204304 53802755380 58693914960 64563306456 80704133070 107605510760 129126612912 161408266140 215211021520 322816532280 645633064560