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42686178720 = 253588929539
BaseRepresentation
bin100111110000010010…
…110110010110100000
311002011212120112222020
4213300102312112200
51144410130204340
631335412541440
73040542350433
oct476022662640
9132155515866
1042686178720
1117115264959
128333621880
13404373a023
1420cd24381a
15119c73b9d0
hex9f04b65a0

42686178720 has 48 divisors (see below), whose sum is σ = 134461464480. Its totient is φ = 11382980864.

The previous prime is 42686178697. The next prime is 42686178727. The reversal of 42686178720 is 2787168624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×426861787203 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42686178727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44464290 + ... + 44465249.

It is an arithmetic number, because the mean of its divisors is an integer number (2801280510).

Almost surely, 242686178720 is an apocalyptic number.

42686178720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42686178720 is an abundant number, since it is smaller than the sum of its proper divisors (91775285760).

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

42686178720 is a wasteful number, since it uses less digits than its factorization.

42686178720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88929557 (or 88929549 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 42686178720 in words is "forty-two billion, six hundred eighty-six million, one hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 88929539 177859078 266788617 355718156 444647695 533577234 711436312 889295390 1067154468 1333943085 1422872624 1778590780 2134308936 2667886170 2845745248 3557181560 4268617872 5335772340 7114363120 8537235744 10671544680 14228726240 21343089360 42686178720