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42875685360 = 24325118150423
BaseRepresentation
bin100111111011100101…
…110000100111110000
311002200002011111012200
4213323211300213300
51200302133412420
631410302423200
73045333212064
oct477345604760
9132602144180
1042875685360
1117202230012
128386b91b00
134073a8c031
14210a493aa4
1511ae1c1b90
hex9fb9709f0

42875685360 has 120 divisors (see below), whose sum is σ = 144115624224. Its totient is φ = 11423608320.

The previous prime is 42875685353. The next prime is 42875685373. The reversal of 42875685360 is 6358657824.

42875685360 is a `hidden beast` number, since 4 + 28 + 7 + 568 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 42875685297 and 42875685306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825109 + ... + 875531.

Almost surely, 242875685360 is an apocalyptic number.

42875685360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42875685360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72057812112).

42875685360 is an abundant number, since it is smaller than the sum of its proper divisors (101239938864).

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

42875685360 is a wasteful number, since it uses less digits than its factorization.

42875685360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51623 (or 51614 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42875685360 in words is "forty-two billion, eight hundred seventy-five million, six hundred eighty-five thousand, three hundred sixty".

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 1181 2362 3543 4724 5905 7086 9448 10629 11810 14172 17715 18896 21258 23620 28344 35430 42516 47240 50423 53145 56688 70860 85032 94480 100846 106290 141720 151269 170064 201692 212580 252115 283440 302538 403384 425160 453807 504230 605076 756345 806768 850320 907614 1008460 1210152 1512690 1815228 2016920 2269035 2420304 3025380 3630456 4033840 4538070 6050760 7260912 9076140 12101520 18152280 36304560 59549563 119099126 178648689 238198252 297747815 357297378 476396504 535946067 595495630 714594756 893243445 952793008 1071892134 1190991260 1429189512 1786486890 2143784268 2381982520 2679730335 2858379024 3572973780 4287568536 4763965040 5359460670 7145947560 8575137072 10718921340 14291895120 21437842680 42875685360