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2205134088072 = 23312713712014397
BaseRepresentation
bin100000000101101100001…
…110111110011110001000
321210210211120211020021120
4200011230032332132020
5242112103311304242
64405005152235240
7315213164324616
oct40055416763610
97723746736246
102205134088072
11780212783383
122b7452b3bb20
1312cc3542c586
1478a2c7786b6
153c5620431ec
hex2016c3be788

2205134088072 has 128 divisors (see below), whose sum is σ = 5602733936640. Its totient is φ = 723166617600.

The previous prime is 2205134088071. The next prime is 2205134088083. The reversal of 2205134088072 is 2708804315022.

It is not an unprimeable number, because it can be changed into a prime (2205134088071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 501506578 + ... + 501510974.

It is an arithmetic number, because the mean of its divisors is an integer number (43771358880).

Almost surely, 22205134088072 is an apocalyptic number.

It is an amenable number.

2205134088072 is an abundant number, since it is smaller than the sum of its proper divisors (3397599848568).

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

2205134088072 is a wasteful number, since it uses less digits than its factorization.

2205134088072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 2205134088072 in words is "two trillion, two hundred five billion, one hundred thirty-four million, eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 127 137 254 274 381 411 508 548 762 822 1016 1096 1201 1524 1644 2402 3048 3288 3603 4397 4804 7206 8794 9608 13191 14412 17399 17588 26382 28824 34798 35176 52197 52764 69596 104394 105528 139192 152527 164537 208788 305054 329074 417576 457581 493611 558419 602389 610108 658148 915162 987222 1116838 1204778 1220216 1316296 1675257 1807167 1830324 1974444 2233676 2409556 3350514 3614334 3660648 3948888 4467352 4819112 5280797 6701028 7228668 10561594 13402056 14457336 15842391 20896199 21123188 31684782 41792398 42246376 62688597 63369564 76503403 83584796 125377194 126739128 153006806 167169592 229510209 250754388 306013612 459020418 501508776 612027224 670661219 723469189 918040836 1341322438 1446938378 1836081672 2011983657 2170407567 2682644876 2893876756 4023967314 4340815134 5365289752 5787753512 8047934628 8681630268 16095869256 17363260536 91880587003 183761174006 275641761009 367522348012 551283522018 735044696024 1102567044036 2205134088072