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42865167360 = 2103519191769
BaseRepresentation
bin100111111010111101…
…101000110000000000
311002122100101010020010
4213322331220300000
51200241440323420
631405245144520
73045144624261
oct477275506000
9132570333203
1042865167360
11171a72a6754
12838355b140
134071848772
142108d16968
1511ad2e54e0
hex9faf68c00

42865167360 has 352 divisors, whose sum is σ = 145261670400. Its totient is φ = 10758389760.

The previous prime is 42865167313. The next prime is 42865167403. The reversal of 42865167360 is 6376156824.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 55741056 + ... + 55741824.

It is an arithmetic number, because the mean of its divisors is an integer number (412675200).

Almost surely, 242865167360 is an apocalyptic number.

42865167360 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 42865167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72630835200).

42865167360 is an abundant number, since it is smaller than the sum of its proper divisors (102396503040).

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

42865167360 is a wasteful number, since it uses less digits than its factorization.

42865167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 42865167360 in words is "forty-two billion, eight hundred sixty-five million, one hundred sixty-seven thousand, three hundred sixty".