Search a number
-
+
6051431488080 = 24351123595631031
BaseRepresentation
bin101100000001111010101…
…1011001001101001010000
3210102111210122221212000010
41120003311123021221100
51243121312430104310
620511553402154520
71163126053643436
oct130036533115120
923374718855003
106051431488080
111a23441350700
128189841b2a40
1334b855854694
1416cc686aad56
15a7629342320
hex580f56c9a50

6051431488080 has 480 divisors, whose sum is σ = 20734132930560. Its totient is φ = 1458912435200.

The previous prime is 6051431487979. The next prime is 6051431488117. The reversal of 6051431488080 is 808841341506.

It is a super-2 number, since 2×60514314880802 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5869477165 + ... + 5869478195.

It is an arithmetic number, because the mean of its divisors is an integer number (43196110272).

Almost surely, 26051431488080 is an apocalyptic number.

6051431488080 is a gapful number since it is divisible by the number (60) 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 6051431488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367066465280).

6051431488080 is an abundant number, since it is smaller than the sum of its proper divisors (14682701442480).

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

6051431488080 is a wasteful number, since it uses less digits than its factorization.

6051431488080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 6051431488080 in words is "six trillion, fifty-one billion, four hundred thirty-one million, four hundred eighty-eight thousand, eighty".