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2141196664320 = 29345717194567
BaseRepresentation
bin11111001010001001010…
…001000011111000000000
321120200210200021120120000
4133022021101003320000
5240040132321224240
64315352511320000
7310460564230440
oct37121121037000
97520720246500
102141196664320
117560927725aa
122a6b8a520000
13126bb602045c
14758c4dc0120
153aa6dccb430
hex1f289443e00

2141196664320 has 1600 divisors, whose sum is σ = 9770816056320. Its totient is φ = 436288094208.

The previous prime is 2141196664283. The next prime is 2141196664351. The reversal of 2141196664320 is 234666911412.

It is a super-2 number, since 2×21411966643202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 468838677 + ... + 468843243.

Almost surely, 22141196664320 is an apocalyptic number.

2141196664320 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 2141196664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885408028160).

2141196664320 is an abundant number, since it is smaller than the sum of its proper divisors (7629619392000).

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

2141196664320 is a wasteful number, since it uses less digits than its factorization.

2141196664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2141196664320 in words is "two trillion, one hundred forty-one billion, one hundred ninety-six million, six hundred sixty-four thousand, three hundred twenty".