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1375724122080 = 2535711416131481
BaseRepresentation
bin10100000001001111100…
…011000010111111100000
311212111222120122102102020
4110001033203002333200
5140014440333401310
62531555434221440
7201251504044530
oct24011743027740
94774876572366
101375724122080
11490494446970
121a275b284880
139c965407479
144a82a4b94c0
1525bbbd27170
hex1404f8c2fe0

1375724122080 has 768 divisors, whose sum is σ = 5547392428032. Its totient is φ = 278249472000.

The previous prime is 1375724122067. The next prime is 1375724122139. The reversal of 1375724122080 is 802214275731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 928914940 + ... + 928916420.

It is an arithmetic number, because the mean of its divisors is an integer number (7223167224).

Almost surely, 21375724122080 is an apocalyptic number.

1375724122080 is a gapful number since it is divisible by the number (10) 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 1375724122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773696214016).

1375724122080 is an abundant number, since it is smaller than the sum of its proper divisors (4171668305952).

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

1375724122080 is a wasteful number, since it uses less digits than its factorization.

1375724122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 1375724122080 in words is "one trillion, three hundred seventy-five billion, seven hundred twenty-four million, one hundred twenty-two thousand, eighty".