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20814054464 = 267291602067
BaseRepresentation
bin10011011000100111…
…010100010001000000
31222201120022112001002
4103120213110101000
5320111344220324
613321205231132
71334535354350
oct233047242100
958646275032
1020814054464
118910a9a205
12404a7024a8
131c6923b978
14101646cb60
1581c46c3ae
hex4d89d4440

20814054464 has 56 divisors (see below), whose sum is σ = 48831032640. Its totient is φ = 8612706816.

The previous prime is 20814054463. The next prime is 20814054467. The reversal of 20814054464 is 46445041802.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (20814054463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788042 + ... + 814025.

Almost surely, 220814054464 is an apocalyptic number.

It is an amenable number.

20814054464 is an abundant number, since it is smaller than the sum of its proper divisors (28016978176).

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

20814054464 is a wasteful number, since it uses less digits than its factorization.

20814054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602115 (or 1602105 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 20814054464 in words is "twenty billion, eight hundred fourteen million, fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 1602067 3204134 6408268 11214469 12816536 22428938 25633072 44857876 46459943 51266144 89715752 92919886 102532288 179431504 185839772 325219601 358863008 371679544 650439202 717726016 743359088 1300878404 1486718176 2601756808 2973436352 5203513616 10407027232 20814054464