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6763480085504 = 21096724112833
BaseRepresentation
bin110001001101011111011…
…0100111111010000000000
3212221120201120000102020002
41202122332310333100000
51341303101400214004
622215033322535132
71265434225110242
oct142327664772000
925846646012202
106763480085504
11217841520392a
129129839674a8
133a0a4123ccbc
141954d5c40092
15bae0106961e
hex626bed3f400

6763480085504 has 88 divisors (see below), whose sum is σ = 13544729909568. Its totient is φ = 3375649751040.

The previous prime is 6763480085503. The next prime is 6763480085507. The reversal of 6763480085504 is 4055800843676.

It is a super-3 number, since 3×67634800855043 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6763480085504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6763480085503) 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, 2387390072 + ... + 2387392904.

It is an arithmetic number, because the mean of its divisors is an integer number (153917385336).

Almost surely, 26763480085504 is an apocalyptic number.

6763480085504 is a gapful number since it is divisible by the number (64) 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 6763480085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772364954784).

6763480085504 is an abundant number, since it is smaller than the sum of its proper divisors (6781249824064).

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

6763480085504 is a wasteful number, since it uses less digits than its factorization.

6763480085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 6763480085504 in words is "six trillion, seven hundred sixty-three billion, four hundred eighty million, eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 967 1024 1934 2411 2833 3868 4822 5666 7736 9644 11332 15472 19288 22664 30944 38576 45328 61888 77152 90656 123776 154304 181312 247552 308608 362624 495104 617216 725248 990208 1234432 1450496 2331437 2468864 2739511 2900992 4662874 5479022 6830363 9325748 10958044 13660726 18651496 21916088 27321452 37302992 43832176 54642904 74605984 87664352 109285808 149211968 175328704 218571616 298423936 350657408 437143232 596847872 701314816 874286464 1193695744 1402629632 1748572928 2387391488 2805259264 3497145856 6604961021 6994291712 13209922042 26419844084 52839688168 105679376336 211358752672 422717505344 845435010688 1690870021376 3381740042752 6763480085504