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914378220000 = 2534547211519
BaseRepresentation
bin11010100111001010011…
…00000110000111100000
310020102011120221100010000
431103211030012013200
5104440121311020000
61540020510340000
7123030100426200
oct15234514060740
93212146840100
10914378220000
11322870738343
121292674ba600
13682c1551bab
1432382bd4400
1518bb9970000
hexd4e53061e0

914378220000 has 900 divisors, whose sum is σ = 3909347608320. Its totient is φ = 208982592000.

The previous prime is 914378219999. The next prime is 914378220011. The reversal of 914378220000 is 22873419.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 79374241 + ... + 79385759.

Almost surely, 2914378220000 is an apocalyptic number.

914378220000 is a gapful number since it is divisible by the number (90) 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 914378220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954673804160).

914378220000 is an abundant number, since it is smaller than the sum of its proper divisors (2994969388320).

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

914378220000 is a wasteful number, since it uses less digits than its factorization.

914378220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 914378220000 in words is "nine hundred fourteen billion, three hundred seventy-eight million, two hundred twenty thousand".