Search a number
-
+
6053764167744 = 263231370870509
BaseRepresentation
bin101100000011000000001…
…1101100111100001000000
3210102201211020022020221020
41120012000131213201000
51243141102111331434
620513021051425440
71163240630253666
oct130060035474100
923381736266836
106053764167744
111a24429062437
12819315455280
1334bb37bcc3c7
1416d00a404c36
15a771401b849
hex58180767840

6053764167744 has 56 divisors (see below), whose sum is σ = 16713653257920. Its totient is φ = 1930185675264.

The previous prime is 6053764167743. The next prime is 6053764167761. The reversal of 6053764167744 is 4477614673506.

It is a happy number.

It is a super-2 number, since 2×60537641677442 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6053764167743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685430839 + ... + 685439670.

Almost surely, 26053764167744 is an apocalyptic number.

6053764167744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6053764167744 is an abundant number, since it is smaller than the sum of its proper divisors (10659889090176).

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

6053764167744 is a wasteful number, since it uses less digits than its factorization.

6053764167744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370870547 (or 1370870537 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 60.

The spelling of 6053764167744 in words is "six trillion, fifty-three billion, seven hundred sixty-four million, one hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 1370870509 2741741018 4112611527 5483482036 8225223054 10966964072 16450446108 21933928144 31530021707 32900892216 43867856288 63060043414 65801784432 87735712576 94590065121 126120086828 131603568864 189180130242 252240173656 263207137728 378360260484 504480347312 756720520968 1008960694624 1513441041936 2017921389248 3026882083872 6053764167744