Search a number
-
+
1364159976960 = 29351141393847
BaseRepresentation
bin10011110110011110010…
…001010101011000000000
311211102010122122222120010
4103312132101111120000
5134322244423230320
62522404134344520
7200362104324654
oct23663621253000
94742118588503
101364159976960
1148659a81a540
121a04724bb140
139b841659151
144a050716a64
152574199dae0
hex13d9e455600

1364159976960 has 320 divisors, whose sum is σ = 4873557072384. Its totient is φ = 322638643200.

The previous prime is 1364159976953. The next prime is 1364159976989. The reversal of 1364159976960 is 696799514631.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1364159976891 and 1364159976900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3266757 + ... + 3660603.

Almost surely, 21364159976960 is an apocalyptic number.

1364159976960 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 1364159976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436778536192).

1364159976960 is an abundant number, since it is smaller than the sum of its proper divisors (3509397095424).

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

1364159976960 is a wasteful number, since it uses less digits than its factorization.

1364159976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393925 (or 393909 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 66.

The spelling of 1364159976960 in words is "one trillion, three hundred sixty-four billion, one hundred fifty-nine million, nine hundred seventy-six thousand, nine hundred sixty".