Search a number
-
+
42497865600 = 273524426861
BaseRepresentation
bin100111100101000100…
…011111011110000000
311001200202020020221020
4213211010133132000
51144013423144400
631305004425440
73033064616541
oct474504373600
9131622206836
1042497865600
1117028a34483
1282a0548280
134013715348
1420b22244c8
15118ae402a0
hex9e511f780

42497865600 has 96 divisors (see below), whose sum is σ = 139977376440. Its totient is φ = 11332761600.

The previous prime is 42497865593. The next prime is 42497865617. The reversal of 42497865600 is 656879424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 2203831 + ... + 2223030.

Almost surely, 242497865600 is an apocalyptic number.

42497865600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42497865600 is an abundant number, since it is smaller than the sum of its proper divisors (97479510840).

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

42497865600 is a wasteful number, since it uses less digits than its factorization.

42497865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426888 (or 4426871 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 42497865600 in words is "forty-two billion, four hundred ninety-seven million, eight hundred sixty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 4426861 8853722 13280583 17707444 22134305 26561166 35414888 44268610 53122332 66402915 70829776 88537220 106244664 110671525 132805830 141659552 177074440 212489328 221343050 265611660 283319104 332014575 354148880 424978656 442686100 531223320 566638208 664029150 708297760 849957312 885372200 1062446640 1328058300 1416595520 1699914624 1770744400 2124893280 2656116600 2833191040 3541488800 4249786560 5312233200 7082977600 8499573120 10624466400 14165955200 21248932800 42497865600