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5740223791104 = 2313511
BaseRepresentation
bin101001110001000000000…
…0000000000000000000000
3202022202112001202211100000
41103202000000000000000
51223021434242303404
620113004501200000
71131501045112515
oct123420000000000
922282461684300
105740223791104
111913462756820
127885b1400000
133283baa7a91a
1415bb84c7130c
159e4b2c69339
hex53880000000

5740223791104 has 384 divisors, whose sum is σ = 18760417144560. Its totient is φ = 1739461754880.

The previous prime is 5740223791063. The next prime is 5740223791123. The reversal of 5740223791104 is 4011973220475.

5740223791104 is a `hidden beast` number, since 5 + 7 + 402 + 237 + 9 + 1 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5740223791104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521838526459 + ... + 521838526469.

Almost surely, 25740223791104 is an apocalyptic number.

5740223791104 is a gapful number since it is divisible by the number (54) 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 5740223791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9380208572280).

5740223791104 is an abundant number, since it is smaller than the sum of its proper divisors (13020193353456).

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

5740223791104 is an frugal number, since it uses more digits than its factorization.

5740223791104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5740223791104 in words is "five trillion, seven hundred forty billion, two hundred twenty-three million, seven hundred ninety-one thousand, one hundred four".