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42553254520 = 2357374199803
BaseRepresentation
bin100111101000010111…
…110010001001111000
311001211121110022020201
4213220113302021320
51144122113121040
631314303531544
73034336460350
oct475027621170
9131747408221
1042553254520
1117057225a47
1282b6bb9bb4
13402203955a
1420b9721b60
151190c31a9a
hex9e85f2278

42553254520 has 128 divisors (see below), whose sum is σ = 112659724800. Its totient is φ = 14160047616.

The previous prime is 42553254511. The next prime is 42553254521. The reversal of 42553254520 is 2545235524.

42553254520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 42553254520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553254521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4335939 + ... + 4345741.

It is an arithmetic number, because the mean of its divisors is an integer number (880154100).

Almost surely, 242553254520 is an apocalyptic number.

42553254520 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 42553254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56329862400).

42553254520 is an abundant number, since it is smaller than the sum of its proper divisors (70106470280).

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

42553254520 is a wasteful number, since it uses less digits than its factorization.

42553254520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The spelling of 42553254520 in words is "forty-two billion, five hundred fifty-three million, two hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 419 518 740 838 1036 1295 1480 1676 2072 2095 2590 2933 3352 4190 5180 5866 8380 9803 10360 11732 14665 15503 16760 19606 23464 29330 31006 39212 49015 58660 62012 68621 77515 78424 98030 108521 117320 124024 137242 155030 196060 217042 274484 310060 343105 362711 392120 434084 542605 548968 620120 686210 725422 868168 1085210 1372420 1450844 1813555 2170420 2538977 2744840 2901688 3627110 4107457 4340840 5077954 7254220 8214914 10155908 12694885 14508440 16429828 20311816 20537285 25389770 28752199 32859656 41074570 50779540 57504398 82149140 101559080 115008796 143760995 151975909 164298280 230017592 287521990 303951818 575043980 607903636 759879545 1063831363 1150087960 1215807272 1519759090 2127662726 3039518180 4255325452 5319156815 6079036360 8510650904 10638313630 21276627260 42553254520