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214044531563456 = 2611417415622629
BaseRepresentation
bin110000101010110000100000…
…010001010001101111000000
31001001212110100102112211020222
4300222300200101101233000
5211023401200040012311
62035122411134322212
763041131013016266
oct6052604021215700
91031773312484228
10214044531563456
1162223859a35740
122000b320659368
13925840b070679
143abdb4c424436
1519b2bc96e9adb
hexc2ac20451bc0

214044531563456 has 56 divisors (see below), whose sum is σ = 474659173301040. Its totient is φ = 94919969638400.

The previous prime is 214044531563393. The next prime is 214044531563479. The reversal of 214044531563456 is 654365135440412.

It is a super-2 number, since 2×2140445315634562 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214044531563398 and 214044531563407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3707782451 + ... + 3707840178.

It is an arithmetic number, because the mean of its divisors is an integer number (8476056666090).

Almost surely, 2214044531563456 is an apocalyptic number.

It is an amenable number.

214044531563456 is an abundant number, since it is smaller than the sum of its proper divisors (260614641737584).

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

214044531563456 is a wasteful number, since it uses less digits than its factorization.

214044531563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415622693 (or 7415622683 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 53.

The spelling of 214044531563456 in words is "two hundred fourteen trillion, forty-four billion, five hundred thirty-one million, five hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 2624 3608 7216 14432 28864 7415622629 14831245258 29662490516 59324981032 81571848919 118649962064 163143697838 237299924128 304040527789 326287395676 474599848256 608081055578 652574791352 1216162111156 1305149582704 2432324222312 2610299165408 3344445805679 4864648444624 5220598330816 6688891611358 9729296889248 13377783222716 19458593778496 26755566445432 53511132890864 107022265781728 214044531563456