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1373493385152 = 26337279720353
BaseRepresentation
bin10011111111001010100…
…101011101011111000000
311212022020010010020122000
4103333022211131133000
5140000403301311102
62530550225544000
7201142306100400
oct23771245353700
94768203106560
101373493385152
1148a54a233229
121a22381a5000
139c69b2035a5
144a69811a800
1525adb08801c
hex13fca95d7c0

1373493385152 has 336 divisors, whose sum is σ = 4703175983520. Its totient is φ = 391915044864.

The previous prime is 1373493385091. The next prime is 1373493385171. The reversal of 1373493385152 is 2515833943731.

It is a happy number.

1373493385152 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 4 + 93 + 38 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 67473408 + ... + 67493760.

It is an arithmetic number, because the mean of its divisors is an integer number (13997547570).

Almost surely, 21373493385152 is an apocalyptic number.

1373493385152 is a gapful number since it is divisible by the number (12) 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 1373493385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351587991760).

1373493385152 is an abundant number, since it is smaller than the sum of its proper divisors (3329682598368).

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

1373493385152 is a wasteful number, since it uses less digits than its factorization.

1373493385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21185 (or 21162 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 1373493385152 in words is "one trillion, three hundred seventy-three billion, four hundred ninety-three million, three hundred eighty-five thousand, one hundred fifty-two".