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2375672104960 = 211571122311909
BaseRepresentation
bin100010100100100001000…
…101111000100000000000
322102010000200012002211021
4202210201011320200000
5302410334024324320
65015211345555224
7333431240465260
oct42444105704000
98363020162737
102375672104960
11836575a73600
12324507945b14
1314304298c73b
1482da9a617a0
1541be3c15daa
hex22921178800

2375672104960 has 576 divisors, whose sum is σ = 7472566483200. Its totient is φ = 708215439360.

The previous prime is 2375672104957. The next prime is 2375672104991. The reversal of 2375672104960 is 694012765732.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2375672104898 and 2375672104907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199479486 + ... + 199491394.

It is an arithmetic number, because the mean of its divisors is an integer number (12973205700).

Almost surely, 22375672104960 is an apocalyptic number.

2375672104960 is a gapful number since it is divisible by the number (20) 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 2375672104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736283241600).

2375672104960 is an abundant number, since it is smaller than the sum of its proper divisors (5096894378240).

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

2375672104960 is a wasteful number, since it uses less digits than its factorization.

2375672104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 2375672104960 in words is "two trillion, three hundred seventy-five billion, six hundred seventy-two million, one hundred four thousand, nine hundred sixty".