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645455022120 = 23345883225611
BaseRepresentation
bin10010110010010000001…
…11100000100000101000
32021201000212111102120000
421121020013200200220
541033342441201440
61212303513103000
764426656110256
oct11311007404050
92251025442500
10645455022120
11229810595487
12a51156b7a60
1348b34c061bc
142335111b5d6
1511bca6dc730
hex96481e0828

645455022120 has 160 divisors (see below), whose sum is σ = 2171912577120. Its totient is φ = 171925649280.

The previous prime is 645455022103. The next prime is 645455022167. The reversal of 645455022120 is 21220554546.

645455022120 is a `hidden beast` number, since 64 + 5 + 4 + 550 + 2 + 21 + 20 = 666.

It is a super-2 number, since 2×6454550221202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2748115 + ... + 2973725.

It is an arithmetic number, because the mean of its divisors is an integer number (13574453607).

Almost surely, 2645455022120 is an apocalyptic number.

645455022120 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 645455022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085956288560).

645455022120 is an abundant number, since it is smaller than the sum of its proper divisors (1526457555000).

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

645455022120 is a wasteful number, since it uses less digits than its factorization.

645455022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226517 (or 226504 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 645455022120 its reverse (21220554546), we get a palindrome (666675576666).

The spelling of 645455022120 in words is "six hundred forty-five billion, four hundred fifty-five million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 883 1080 1620 1766 2649 3240 3532 4415 5298 7064 7947 8830 10596 13245 15894 17660 21192 23841 26490 31788 35320 39735 47682 52980 63576 71523 79470 95364 105960 119205 143046 158940 190728 225611 238410 286092 317880 357615 451222 476820 572184 676833 715230 902444 953640 1128055 1353666 1430460 1804888 2030499 2256110 2707332 2860920 3384165 4060998 4512220 5414664 6091497 6768330 8121996 9024440 10152495 12182994 13536660 16243992 18274491 20304990 24365988 27073320 30457485 36548982 40609980 48731976 60914970 73097964 81219960 91372455 121829940 146195928 182744910 199214513 243659880 365489820 398429026 597643539 730979640 796858052 996072565 1195287078 1593716104 1792930617 1992145130 2390574156 2988217695 3585861234 3984290260 4781148312 5378791851 5976435390 7171722468 7968580520 8964653085 10757583702 11952870780 14343444936 16136375553 17929306170 21515167404 23905741560 26893959255 32272751106 35858612340 43030334808 53787918510 64545502212 71717224680 80681877765 107575837020 129091004424 161363755530 215151674040 322727511060 645455022120