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875235020064 = 253193119181041
BaseRepresentation
bin11001011110010000001…
…00101000110100100000
310002200010122002202100020
430233020010220310200
5103314440131120224
61510024415553440
7120143065630566
oct14571004506440
93080118082306
10875235020064
11308204395929
1212176252b880
13646c3b4bb22
143050c339a36
1517b782cec79
hexcbc8128d20

875235020064 has 192 divisors, whose sum is σ = 2509527121920. Its totient is φ = 266070528000.

The previous prime is 875235020053. The next prime is 875235020069. The reversal of 875235020064 is 460020532578.

It is a junction number, because it is equal to n+sod(n) for n = 875235019998 and 875235020025.

It is not an unprimeable number, because it can be changed into a prime (875235020069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10759384 + ... + 10840424.

It is an arithmetic number, because the mean of its divisors is an integer number (13070453760).

Almost surely, 2875235020064 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 875235020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254763560960).

875235020064 is an abundant number, since it is smaller than the sum of its proper divisors (1634292101856).

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

875235020064 is a wasteful number, since it uses less digits than its factorization.

875235020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81295 (or 81287 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 875235020064 in words is "eight hundred seventy-five billion, two hundred thirty-five million, twenty thousand, sixty-four".