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211005543040 = 2752711216591
BaseRepresentation
bin1100010010000011101…
…0010001001010000000
3202011122100011012100121
43010200322101022000
511424114404334130
6240533513030024
721146625344215
oct3044072211200
9664570135317
10211005543040
118153a145616
1234a893b5314
1316b89437816
14a2d99d5b0c
15574e75ad7a
hex3120e91280

211005543040 has 64 divisors (see below), whose sum is σ = 506296926720. Its totient is φ = 84090700800.

The previous prime is 211005543031. The next prime is 211005543071. The reversal of 211005543040 is 40345500112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 211005542996 and 211005543014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434856 + ... + 781735.

It is an arithmetic number, because the mean of its divisors is an integer number (7910889480).

Almost surely, 2211005543040 is an apocalyptic number.

211005543040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211005543040 is an abundant number, since it is smaller than the sum of its proper divisors (295291383680).

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

211005543040 is a wasteful number, since it uses less digits than its factorization.

211005543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216881 (or 1216869 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 211005543040 in words is "two hundred eleven billion, five million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 271 320 542 640 1084 1355 2168 2710 4336 5420 8672 10840 17344 21680 34688 43360 86720 173440 1216591 2433182 4866364 6082955 9732728 12165910 19465456 24331820 38930912 48663640 77861824 97327280 155723648 194654560 329696161 389309120 659392322 778618240 1318784644 1648480805 2637569288 3296961610 5275138576 6593923220 10550277152 13187846440 21100554304 26375692880 42201108608 52751385760 105502771520 211005543040