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4620540023120 = 245759909115383
BaseRepresentation
bin100001100111100110110…
…1001011001000101010000
3121100201102101020001010102
41003033031221121011100
51101200331221214440
613454351412151532
7654552201114350
oct103171551310520
917321371201112
104620540023120
11152161842758a
126275a96085a8
1327693ac89b78
1411d8c74bcb60
15802ce1b5b15
hex433cda59150

4620540023120 has 160 divisors (see below), whose sum is σ = 12487712163840. Its totient is φ = 1557062023680.

The previous prime is 4620540023119. The next prime is 4620540023123. The reversal of 4620540023120 is 213200450264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620540023123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 300358949 + ... + 300374331.

It is an arithmetic number, because the mean of its divisors is an integer number (78048201024).

Almost surely, 24620540023120 is an apocalyptic number.

4620540023120 is a gapful number since it is divisible by the number (40) 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 4620540023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243856081920).

4620540023120 is an abundant number, since it is smaller than the sum of its proper divisors (7867172140720).

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

4620540023120 is a wasteful number, since it uses less digits than its factorization.

4620540023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24553 (or 24547 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 4620540023120 its reverse (213200450264), we get a palindrome (4833740473384).

The spelling of 4620540023120 in words is "four trillion, six hundred twenty billion, five hundred forty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 9091 15383 16520 18182 30766 33040 36364 45455 61532 63637 72728 76915 90910 107681 123064 127274 145456 153830 181820 215362 246128 254548 307660 318185 363640 430724 509096 536369 538405 615320 636370 727280 861448 907597 1018192 1072738 1076810 1230640 1272740 1722896 1815194 2145476 2153620 2545480 2681845 3630388 3754583 4290952 4307240 4537985 5090960 5363690 6353179 7260776 7509166 8581904 8614480 9075970 10727380 12706358 14521552 15018332 18151940 18772915 21454760 25412716 30036664 31765895 36303880 37545830 42909520 50825432 60073328 63531790 72607760 75091660 101650864 127063580 139846853 150183320 254127160 279693706 300366640 508254320 559387412 699234265 978927971 1118774824 1398468530 1957855942 2237549648 2796937060 3915711884 4894639855 5593874120 7831423768 8250964327 9789279710 11187748240 15662847536 16501928654 19578559420 33003857308 39157118840 41254821635 57756750289 66007714616 78314237680 82509643270 115513500578 132015429232 165019286540 231027001156 288783751445 330038573080 462054002312 577567502890 660077146160 924108004624 1155135005780 2310270011560 4620540023120