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42500525100 = 223521153242999
BaseRepresentation
bin100111100101001110…
…101000110000101100
311001200221020101002020
4213211032220300230
51144020113300400
631305141430140
73033126334305
oct474516506054
9131627211066
1042500525100
111702a490610
1282a140b350
134014136a07
1420b27177ac
15118b2b82a0
hex9e53a8c2c

42500525100 has 144 divisors (see below), whose sum is σ = 136678752000. Its totient is φ = 10108716800.

The previous prime is 42500525087. The next prime is 42500525129. The reversal of 42500525100 is 152500524.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53401 + ... + 296399.

It is an arithmetic number, because the mean of its divisors is an integer number (949158000).

Almost surely, 242500525100 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 42500525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68339376000).

42500525100 is an abundant number, since it is smaller than the sum of its proper divisors (94178226900).

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

42500525100 is a wasteful number, since it uses less digits than its factorization.

42500525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243080 (or 243073 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 42500525100 in words is "forty-two billion, five hundred million, five hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 14575 15900 17490 29150 34980 43725 58300 87450 174900 242999 485998 728997 971996 1214995 1457994 2429990 2672989 2915988 3644985 4859980 5345978 6074975 7289970 8018967 10691956 12149950 12878947 13364945 14579940 16037934 18224925 24299900 25757894 26729890 32075868 36449850 38636841 40094835 51515788 53459780 64394735 66824725 72899700 77273682 80189670 128789470 133649450 141668417 154547364 160379340 193184205 200474175 257578940 267298900 283336834 321973675 386368410 400948350 425005251 566673668 643947350 708342085 772736820 801896700 850010502 965921025 1287894700 1416684170 1700021004 1931842050 2125026255 2833368340 3541710425 3863684100 4250052510 7083420850 8500105020 10625131275 14166841700 21250262550 42500525100