Search a number
-
+
245194842256896 = 2937531177936529
BaseRepresentation
bin110111110000000011011111…
…011110010011011000000000
31012011011101202010202101101010
4313300003133132103120000
5224114233014104210041
62225252542220040520
7102434512524113550
oct6760033736233000
91164141663671333
10245194842256896
1171143604268374
12236004a0693140
13a6a7a0b4caa6c
1444796ca963160
151d53131c3ba16
hexdf00df793600

245194842256896 has 320 divisors, whose sum is σ = 760701608409600. Its totient is φ = 68726147383296.

The previous prime is 245194842256879. The next prime is 245194842256913. The reversal of 245194842256896 is 698652248491542.

It is an interprime number because it is at equal distance from previous prime (245194842256879) and next prime (245194842256913).

It is a super-2 number, since 2×2451948422568962 (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6712315560 + ... + 6712352088.

It is an arithmetic number, because the mean of its divisors is an integer number (2377192526280).

Almost surely, 2245194842256896 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 245194842256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380350804204800).

245194842256896 is an abundant number, since it is smaller than the sum of its proper divisors (515506766152704).

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

245194842256896 is a wasteful number, since it uses less digits than its factorization.

245194842256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48389 (or 48373 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 75.

The spelling of 245194842256896 in words is "two hundred forty-five trillion, one hundred ninety-four billion, eight hundred forty-two million, two hundred fifty-six thousand, eight hundred ninety-six".