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42415366020 = 223512713142491
BaseRepresentation
bin100111100000001001…
…110001111110000100
311001110222222211210020
4213200021301332010
51143331313203040
631252500255140
73031043443146
oct474011617604
9131428884706
1042415366020
1116a96406305
1282789a14b0
133ccc5bb321
1420a52aac96
151183a95cd0
hex9e0271f84

42415366020 has 96 divisors (see below), whose sum is σ = 120614731776. Its totient is φ = 11135779200.

The previous prime is 42415366013. The next prime is 42415366039. The reversal of 42415366020 is 2066351424.

It is a super-2 number, since 2×424153660202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976975 + ... + 1019465.

It is an arithmetic number, because the mean of its divisors is an integer number (1256403456).

Almost surely, 242415366020 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 42415366020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60307365888).

42415366020 is an abundant number, since it is smaller than the sum of its proper divisors (78199365756).

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

42415366020 is a wasteful number, since it uses less digits than its factorization.

42415366020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42761 (or 42759 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 42415366020 in words is "forty-two billion, four hundred fifteen million, three hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 131 254 262 381 393 508 524 635 655 762 786 1270 1310 1524 1572 1905 1965 2540 2620 3810 3930 7620 7860 16637 33274 42491 49911 66548 83185 84982 99822 127473 166370 169964 199644 212455 249555 254946 332740 424910 499110 509892 637365 849820 998220 1274730 2549460 5396357 5566321 10792714 11132642 16189071 16698963 21585428 22265284 26981785 27831605 32378142 33397926 53963570 55663210 64756284 66795852 80945355 83494815 107927140 111326420 161890710 166989630 323781420 333979260 706922767 1413845534 2120768301 2827691068 3534613835 4241536602 7069227670 8483073204 10603841505 14138455340 21207683010 42415366020