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103379792040448 = 2971123569200371
BaseRepresentation
bin10111100000010111111011…
…110010000001001000000000
3111120001000022110022110121021
4113200113323302001020000
5102022233303230243243
61003512004255435224
730526641422365360
oct2740277362011000
9446030273273537
10103379792040448
112aa3813a557130
12b717843225b14
13458b8987c6361
141b758741309a0
15be422b7b36ed
hex5e05fbc81200

103379792040448 has 320 divisors, whose sum is σ = 269196864583680. Its totient is φ = 38458729267200.

The previous prime is 103379792040439. The next prime is 103379792040457. The reversal of 103379792040448 is 844040297973301.

It is an interprime number because it is at equal distance from previous prime (103379792040439) and next prime (103379792040457).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515841703 + ... + 516042073.

It is an arithmetic number, because the mean of its divisors is an integer number (841240201824).

Almost surely, 2103379792040448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103379792040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134598432291840).

103379792040448 is an abundant number, since it is smaller than the sum of its proper divisors (165817072543232).

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

103379792040448 is a wasteful number, since it uses less digits than its factorization.

103379792040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200999 (or 200983 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 103379792040448 in words is "one hundred three trillion, three hundred seventy-nine billion, seven hundred ninety-two million, forty thousand, four hundred forty-eight".