Search a number
-
+
6491376320000 = 29541113433299
BaseRepresentation
bin101111001110110010000…
…1011011111111000000000
3211222120101011202221010012
41132131210023133320000
51322323314314220000
621450032550524052
71236662233214405
oct136354413377000
924876334687105
106491376320000
112082a82780490
1288a0a4966628
1338119899a730
1418628199a2ac
15b3cc7976735
hex5e7642dfe00

6491376320000 has 800 divisors, whose sum is σ = 19489583836800. Its totient is φ = 2127605760000.

The previous prime is 6491376319919. The next prime is 6491376320027. The reversal of 6491376320000 is 236731946.

It is a tau number, because it is divible by the number of its divisors (800).

It is a self number, because there is not a number n which added to its sum of digits gives 6491376320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1967678351 + ... + 1967681649.

It is an arithmetic number, because the mean of its divisors is an integer number (24361979796).

Almost surely, 26491376320000 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 6491376320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744791918400).

6491376320000 is an abundant number, since it is smaller than the sum of its proper divisors (12998207516800).

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

6491376320000 is a wasteful number, since it uses less digits than its factorization.

6491376320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 6491376320000 in words is "six trillion, four hundred ninety-one billion, three hundred seventy-six million, three hundred twenty thousand".