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2212587580672 = 28761123716363
BaseRepresentation
bin100000001100101000011…
…111110010110100000000
321211112002000212212222001
4200030220133302310000
5242222334410040142
64412240530353344
7315565661061010
oct40145037626400
97745060785861
102212587580672
11783398009717
122b899312b854
13130852685b21
1479138621c40
153c84b58a5b7
hex203287f2d00

2212587580672 has 144 divisors (see below), whose sum is σ = 5134671832192. Its totient is φ = 931895746560.

The previous prime is 2212587580663. The next prime is 2212587580673. The reversal of 2212587580672 is 2760857852122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212587580673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135210763 + ... + 135227125.

Almost surely, 22212587580672 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 2212587580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567335916096).

2212587580672 is an abundant number, since it is smaller than the sum of its proper divisors (2922084251520).

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

2212587580672 is a wasteful number, since it uses less digits than its factorization.

2212587580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17684 (or 17670 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 2212587580672 in words is "two trillion, two hundred twelve billion, five hundred eighty-seven million, five hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 854 896 976 1237 1708 1792 1952 2474 3416 3904 4948 6832 7808 8659 9896 13664 15616 16363 17318 19792 27328 32726 34636 39584 54656 65452 69272 75457 79168 109312 114541 130904 138544 150914 158336 229082 261808 277088 301828 316672 458164 523616 528199 554176 603656 916328 998143 1047232 1056398 1108352 1207312 1832656 1996286 2094464 2112796 2216704 2414624 3665312 3992572 4188928 4225592 4829248 6987001 7330624 7985144 8451184 9658496 13974002 14661248 15970288 16902368 19316992 20241031 27948004 29322496 31940576 33804736 40482062 55896008 63881152 67609472 80964124 111792016 127762304 135218944 141687217 161928248 223584032 255524608 283374434 323856496 447168064 566748868 647712992 894336128 1133497736 1234702891 1295425984 1788672256 2266995472 2469405782 2590851968 4533990944 4938811564 5181703936 8642920237 9067981888 9877623128 17285840474 18135963776 19755246256 34571680948 36271927552 39510492512 69143361896 79020985024 138286723792 158041970048 276573447584 316083940096 553146895168 1106293790336 2212587580672