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212354245152 = 25327105334447
BaseRepresentation
bin1100010111000101001…
…1001010001000100000
3202022010022222100211200
43011301103022020200
511434400141321102
6241315412241200
721225223205310
oct3056123121040
9668108870750
10212354245152
1182071487465
12351a5010200
13170429951ca
14a3c6b93440
1557ccd6b51c
hex31714ca220

212354245152 has 72 divisors (see below), whose sum is σ = 690151303296. Its totient is φ = 60672640896.

The previous prime is 212354245079. The next prime is 212354245183. The reversal of 212354245152 is 251542453212.

212354245152 is a `hidden beast` number, since 2 + 1 + 23 + 542 + 45 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52665208 + ... + 52669239.

It is an arithmetic number, because the mean of its divisors is an integer number (9585434768).

Almost surely, 2212354245152 is an apocalyptic number.

It is an amenable number.

212354245152 is an abundant number, since it is smaller than the sum of its proper divisors (477797058144).

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

212354245152 is a wasteful number, since it uses less digits than its factorization.

212354245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105334470 (or 105334459 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 212354245152 its reverse (251542453212), we get a palindrome (463896698364).

The spelling of 212354245152 in words is "two hundred twelve billion, three hundred fifty-four million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 105334447 210668894 316003341 421337788 632006682 737341129 842675576 948010023 1264013364 1474682258 1685351152 1896020046 2212023387 2528026728 2949364516 3370702304 3792040092 4424046774 5056053456 5898729032 6636070161 7584080184 8848093548 10112106912 11797458064 13272140322 15168160368 17696187096 23594916128 26544280644 30336320736 35392374192 53088561288 70784748384 106177122576 212354245152