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206274242448 = 243229379713009
BaseRepresentation
bin1100000000011011100…
…1110010011110010000
3201201102121101020002100
43000012321302132100
511334422201224243
6234432220520400
720621445063021
oct3000671623620
9651377336070
10206274242448
117a53148343a
1233b889b0100
13165b4167a81
149dab4bac48
1555741ce0d3
hex3006e72790

206274242448 has 120 divisors (see below), whose sum is σ = 597390838200. Its totient is φ = 66364526592.

The previous prime is 206274242431. The next prime is 206274242483. The reversal of 206274242448 is 844242472602.

It can be written as a sum of positive squares in 4 ways, for example, as 1727898624 + 204546343824 = 41568^2 + 452268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15849768 + ... + 15862776.

It is an arithmetic number, because the mean of its divisors is an integer number (4978256985).

Almost surely, 2206274242448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206274242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298695419100).

206274242448 is an abundant number, since it is smaller than the sum of its proper divisors (391116595752).

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

206274242448 is a wasteful number, since it uses less digits than its factorization.

206274242448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16849 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 206274242448 in words is "two hundred six billion, two hundred seventy-four million, two hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3797 4176 7594 11391 13009 15188 22782 26018 30376 34173 39027 45564 52036 60752 68346 78054 91128 104072 110113 117081 136692 156108 182256 208144 220226 234162 273384 312216 330339 377261 440452 468324 546768 624432 660678 754522 880904 936648 991017 1131783 1321356 1509044 1761808 1873296 1982034 2263566 2642712 3018088 3395349 3964068 4527132 5285424 6036176 6790698 7928136 9054264 13581396 15856272 18108528 27162792 49395173 54325584 98790346 148185519 197580692 296371038 395161384 444556557 592742076 790322768 889113114 1185484152 1432460017 1778226228 2370968304 2864920034 3556452456 4297380051 5729840068 7112904912 8594760102 11459680136 12892140153 17189520204 22919360272 25784280306 34379040408 51568560612 68758080816 103137121224 206274242448