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12701697188334 = 2373111573573749
BaseRepresentation
bin1011100011010101100000…
…1001100010000111101110
31122222021022010010121020120
42320311120021202013232
53131101033440011314
643003025032025410
72450444616501000
oct270653011420756
948867263117216
1012701697188334
114057839a26190
121511810832266
137119c366037b
1431caa0476370
15170600ec38a9
hexb8d582621ee

12701697188334 has 128 divisors (see below), whose sum is σ = 32523984000000. Its totient is φ = 3278127565440.

The previous prime is 12701697188333. The next prime is 12701697188339. The reversal of 12701697188334 is 43388179610721.

It is a super-2 number, since 2×127016971883342 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12701697188333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767292 + ... + 5341040.

It is an arithmetic number, because the mean of its divisors is an integer number (254093625000).

Almost surely, 212701697188334 is an apocalyptic number.

12701697188334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701697188334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261992000000).

12701697188334 is an abundant number, since it is smaller than the sum of its proper divisors (19822286811666).

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

12701697188334 is a wasteful number, since it uses less digits than its factorization.

12701697188334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573943 (or 3573929 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 12701697188334 in words is "twelve trillion, seven hundred one billion, six hundred ninety-seven million, one hundred eighty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 157 231 294 314 343 462 471 539 686 942 1029 1078 1099 1617 1727 2058 2198 3234 3297 3454 3773 5181 6594 7546 7693 10362 11319 12089 15386 22638 23079 24178 36267 46158 53851 72534 84623 107702 161553 169246 253869 323106 507738 592361 1184722 1777083 3554166 3573749 7147498 10721247 21442494 25016243 39311239 50032486 75048729 78622478 117933717 150097458 175113701 235867434 275178673 350227402 525341103 550357346 561078593 825536019 1050682206 1122157186 1225795907 1651072038 1683235779 1926250711 2451591814 3366471558 3677387721 3852501422 3927550151 5778752133 6171864523 7354775442 7855100302 11557504266 11782650453 12343729046 13483754977 18515593569 23565300906 26967509954 27492851057 37031187138 40451264931 43203051661 54985702114 80902529862 82478553171 86406103322 129609154983 164957106342 192449957399 259218309966 302421361627 384899914798 577349872197 604842723254 907264084881 1154699744394 1814528169762 2116949531389 4233899062778 6350848594167 12701697188334