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45997196966280 = 233357472274871171
BaseRepresentation
bin10100111010101100011101…
…00101011111100110001000
320000212021210202001200211000
422131112032211133212020
522012104224410410110
6241454453124335000
712455121264133020
oct1235261645374610
9200767722050730
1045997196966280
11137243355a782a
1251aa694244460
131c88694ca7511
14b503c1cd4a80
1554b75ca6b1c0
hex29d58e95f988

45997196966280 has 1024 divisors, whose sum is σ = 180266906419200. Its totient is φ = 10214853442560.

The previous prime is 45997196966213. The next prime is 45997196966299. The reversal of 45997196966280 is 8266969179954.

45997196966280 is a `hidden beast` number, since 4 + 5 + 9 + 97 + 196 + 9 + 66 + 280 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45997196966280.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39280270095 + ... + 39280271265.

It is an arithmetic number, because the mean of its divisors is an integer number (176041900800).

Almost surely, 245997196966280 is an apocalyptic number.

45997196966280 is a gapful number since it is divisible by the number (40) 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 45997196966280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90133453209600).

45997196966280 is an abundant number, since it is smaller than the sum of its proper divisors (134269709452920).

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

45997196966280 is a wasteful number, since it uses less digits than its factorization.

45997196966280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 45997196966280 in words is "forty-five trillion, nine hundred ninety-seven billion, one hundred ninety-six million, nine hundred sixty-six thousand, two hundred eighty".