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212188024352 = 25471372574007
BaseRepresentation
bin1100010110011101100…
…1000100111000100000
3202021200202012110202202
43011213121010320200
511434030113234402
6241251113432332
721221134306463
oct3054731047040
9667622173682
10212188024352
1181a966762a7
123515940b6a8
13170174070c5
14a3aca852da
1557bd485b02
hex3167644e20

212188024352 has 96 divisors (see below), whose sum is σ = 431527315968. Its totient is φ = 102652051456.

The previous prime is 212188024327. The next prime is 212188024357. The reversal of 212188024352 is 253420881212.

It is not an unprimeable number, because it can be changed into a prime (212188024357) 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, 52952333 + ... + 52956339.

It is an arithmetic number, because the mean of its divisors is an integer number (4495076208).

Almost surely, 2212188024352 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 212188024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215763657984).

212188024352 is an abundant number, since it is smaller than the sum of its proper divisors (219339291616).

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

212188024352 is a wasteful number, since it uses less digits than its factorization.

212188024352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 212188024352 in words is "two hundred twelve billion, one hundred eighty-eight million, twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 94 137 188 257 274 376 514 548 752 1028 1096 1504 2056 2192 4007 4112 4384 6439 8014 8224 12079 12878 16028 24158 25756 32056 35209 48316 51512 64112 70418 96632 103024 128224 140836 188329 193264 206048 281672 376658 386528 548959 563344 753316 1029799 1097918 1126688 1506632 1654823 2059598 2195836 3013264 3309646 4119196 4391672 6026528 6619292 8238392 8783344 13238584 16476784 17566688 25801073 26477168 32953568 48400553 51602146 52954336 96801106 103204292 141082463 193602212 206408584 282164926 387204424 412817168 564329852 774408848 825634336 1128659704 1548817696 2257319408 4514638816 6630875761 13261751522 26523503044 53047006088 106094012176 212188024352