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1978070660280 = 233251113219732131
BaseRepresentation
bin11100110010001110001…
…100101111010010111000
321000002202010220222011200
4130302032030233102320
5224402042042112110
64112414011054200
7262624302123021
oct34621614572270
97002663828150
101978070660280
116a2993357330
1227b443a41360
131146ba252600
146ba4c263c48
15366c2baa6c0
hex1cc8e32f4b8

1978070660280 has 1152 divisors, whose sum is σ = 8107129555200. Its totient is φ = 413409484800.

The previous prime is 1978070660273. The next prime is 1978070660281. The reversal of 1978070660280 is 820660708791.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978070660281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 928234815 + ... + 928236945.

It is an arithmetic number, because the mean of its divisors is an integer number (7037438850).

Almost surely, 21978070660280 is an apocalyptic number.

1978070660280 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 1978070660280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053564777600).

1978070660280 is an abundant number, since it is smaller than the sum of its proper divisors (6129058894920).

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

1978070660280 is a wasteful number, since it uses less digits than its factorization.

1978070660280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1978070660280 in words is "one trillion, nine hundred seventy-eight billion, seventy million, six hundred sixty thousand, two hundred eighty".