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12215540703352 = 2372151239863479
BaseRepresentation
bin1011000111000010011011…
…1101101110000001111000
31121020210110000221022112111
42301300212331232001320
53100114411410001402
641551424131222104
72400354325530400
oct261604675560170
947223400838474
1012215540703352
11398a6442a5498
121453553a47934
136a7bc75918cc
14303341a33800
15162b4a8b29d7
hexb1c26f6e078

12215540703352 has 96 divisors (see below), whose sum is σ = 26932286592000. Its totient is φ = 5178795652800.

The previous prime is 12215540703329. The next prime is 12215540703367. The reversal of 12215540703352 is 25330704551221.

12215540703352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 13715149 + ... + 14578627.

It is an arithmetic number, because the mean of its divisors is an integer number (280544652000).

Almost surely, 212215540703352 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 12215540703352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466143296000).

12215540703352 is an abundant number, since it is smaller than the sum of its proper divisors (14716745888648).

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

12215540703352 is a wasteful number, since it uses less digits than its factorization.

12215540703352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863889 (or 863878 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 12215540703352 in words is "twelve trillion, two hundred fifteen billion, five hundred forty million, seven hundred three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 151 196 239 302 392 478 604 956 1057 1208 1673 1912 2114 3346 4228 6692 7399 8456 11711 13384 14798 23422 29596 36089 46844 59192 72178 93688 144356 252623 288712 505246 863479 1010492 1726958 1768361 2020984 3453916 3536722 6044353 6907832 7073444 12088706 14146888 24177412 42310471 48354824 84620942 130385329 169241884 206371481 260770658 338483768 412742962 521541316 825485924 912697303 1043082632 1444600367 1650971848 1825394606 2889200734 3650789212 5778401468 6388881121 7301578424 10112202569 11556802936 12777762242 20224405138 25555524484 31162093631 40448810276 51111048968 62324187262 80897620552 124648374524 218134655417 249296749048 436269310834 872538621668 1526942587919 1745077243336 3053885175838 6107770351676 12215540703352