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2023196201600 = 2752733197613
BaseRepresentation
bin11101011100001111111…
…001000001001010000000
321011102020000120222112212
4131130033321001022000
5231122001211422400
64145235444041252
7266112454652000
oct35341771011200
97142200528485
102023196201600
1171003a569432
12288138393228
13118a2c17a952
146dccd452000
1537964646335
hex1d70fe41280

2023196201600 has 768 divisors, whose sum is σ = 6088443648000. Its totient is φ = 663286579200.

The previous prime is 2023196201581. The next prime is 2023196201669. The reversal of 2023196201600 is 61026913202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3300482894 + ... + 3300483506.

It is an arithmetic number, because the mean of its divisors is an integer number (7927661000).

Almost surely, 22023196201600 is an apocalyptic number.

2023196201600 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 2023196201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044221824000).

2023196201600 is an abundant number, since it is smaller than the sum of its proper divisors (4065247446400).

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

2023196201600 is an equidigital number, since it uses as much as digits as its factorization.

2023196201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 2023196201600 in words is "two trillion, twenty-three billion, one hundred ninety-six million, two hundred one thousand, six hundred".