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42878059920 = 2432559552861
BaseRepresentation
bin100111111011101110…
…110100010110010000
311002200020122010111100
4213323232310112100
51200303240404140
631410425344400
73045362332023
oct477356642620
9132606563440
1042878059920
1117203602063
128387938100
134074410ab7
14210a9111ba
1511ae4e0530
hex9fbbb4590

42878059920 has 60 divisors (see below), whose sum is σ = 143998820316. Its totient is φ = 11434149120.

The previous prime is 42878059907. The next prime is 42878059921. The reversal of 42878059920 is 2995087824.

42878059920 is a `hidden beast` number, since 4 + 28 + 7 + 8 + 0 + 599 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21177234576 + 21700825344 = 145524^2 + 147312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×428780599202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42878059921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29775711 + ... + 29777150.

Almost surely, 242878059920 is an apocalyptic number.

42878059920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42878059920 is an abundant number, since it is smaller than the sum of its proper divisors (101120760396).

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

42878059920 is a wasteful number, since it uses less digits than its factorization.

42878059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59552880 (or 59552871 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 42878059920 in words is "forty-two billion, eight hundred seventy-eight million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 59552861 119105722 178658583 238211444 297764305 357317166 476422888 535975749 595528610 714634332 893292915 952845776 1071951498 1191057220 1429268664 1786585830 2143902996 2382114440 2679878745 2858537328 3573171660 4287805992 4764228880 5359757490 7146343320 8575611984 10719514980 14292686640 21439029960 42878059920