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42525424700 = 225211197311631
BaseRepresentation
bin100111100110101101…
…100111110000111100
311001202200002101220122
4213212231213300330
51144043002042300
631311431234112
73033551101013
oct474655476074
9131680071818
1042525424700
1117042547aa0
1282a9818938
1340193442c5
1420b5b59a7a
15118d585c85
hex9e6b67c3c

42525424700 has 144 divisors (see below), whose sum is σ = 101666492928. Its totient is φ = 15311520000.

The previous prime is 42525424607. The next prime is 42525424717. The reversal of 42525424700 is 742452524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67393385 + ... + 67394015.

It is an arithmetic number, because the mean of its divisors is an integer number (706017312).

Almost surely, 242525424700 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 42525424700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833246464).

42525424700 is an abundant number, since it is smaller than the sum of its proper divisors (59141068228).

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

42525424700 is a wasteful number, since it uses less digits than its factorization.

42525424700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 35.

The spelling of 42525424700 in words is "forty-two billion, five hundred twenty-five million, four hundred twenty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 311 394 550 622 631 788 985 1100 1244 1262 1555 1970 2167 2524 3110 3155 3421 3940 4334 4925 6220 6310 6842 6941 7775 8668 9850 10835 12620 13684 13882 15550 15775 17105 19700 21670 27764 31100 31550 34210 34705 43340 54175 61267 63100 68420 69410 85525 108350 122534 124307 138820 171050 173525 196241 216700 245068 248614 306335 342100 347050 392482 497228 612670 621535 673937 694100 784964 981205 1225340 1243070 1347874 1367377 1531675 1962410 2158651 2486140 2695748 2734754 3063350 3107675 3369685 3924820 4317302 4906025 5469508 6126700 6215350 6739370 6836885 8634604 9812050 10793255 12430700 13478740 13673770 16848425 19624100 21586510 27347540 33696850 34184425 38659477 43173020 53966275 67393700 68368850 77318954 107932550 136737700 154637908 193297385 215865100 386594770 425254247 773189540 850508494 966486925 1701016988 1932973850 2126271235 3865947700 4252542470 8505084940 10631356175 21262712350 42525424700