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1978199240640 = 26357894098087
BaseRepresentation
bin11100110010010101110…
…111001110111111000000
321000010002002212112021020
4130302111313032333000
5224402323001200030
64112434443025440
7262630423051620
oct34622567167700
97003062775236
101978199240640
116a2a49999697
1227b47ab0b280
1311470aa91b6c
146ba61374880
15366ce108510
hex1cc95dcefc0

1978199240640 has 448 divisors, whose sum is σ = 7277336524800. Its totient is φ = 445931126784.

The previous prime is 1978199240639. The next prime is 1978199240663. The reversal of 1978199240640 is 460429918791.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244610677 + ... + 244618763.

Almost surely, 21978199240640 is an apocalyptic number.

1978199240640 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 1978199240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638668262400).

1978199240640 is an abundant number, since it is smaller than the sum of its proper divisors (5299137284160).

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

1978199240640 is a wasteful number, since it uses less digits than its factorization.

1978199240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 1978199240640 in words is "one trillion, nine hundred seventy-eight billion, one hundred ninety-nine million, two hundred forty thousand, six hundred forty".