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1050197400000 = 26375574
BaseRepresentation
bin11110100100001001010…
…01001001100111000000
310201101202001200120000000
433102010221021213000
5114201301013300000
62122242023000000
7135605604420000
oct17220451114700
93641661616000
101050197400000
11375428065541
1214b650b99000
1378057bc22a8
1438b89080000
151c4b8600000
hexf484a499c0

1050197400000 has 1680 divisors, whose sum is σ = 4557460491360. Its totient is φ = 240045120000.

The previous prime is 1050197399987. The next prime is 1050197400001. The reversal of 1050197400000 is 47910501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10501974000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 15750 × 4410 × 15120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050197400001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 150028199997 + ... + 150028200003.

It is an arithmetic number, because the mean of its divisors is an integer number (2712774102).

Almost surely, 21050197400000 is an apocalyptic number.

1050197400000 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 1050197400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278730245680).

1050197400000 is an abundant number, since it is smaller than the sum of its proper divisors (3507263091360).

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

1050197400000 is an frugal number, since it uses more digits than its factorization.

1050197400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1050197400000 in words is "one trillion, fifty billion, one hundred ninety-seven million, four hundred thousand".