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12621934325624 = 23132337277514853
BaseRepresentation
bin1011011110101100010111…
…1010010110111101111000
31122200122102022020100110012
42313223011322112331320
53123244210141404444
642502234145041052
72441622204366521
oct267530572267570
948618368210405
1012621934325624
114026a28967938
1214ba270326188
137073216b63a0
14318c94dc9848
1516d4d3747b9e
hexb7ac5e96f78

12621934325624 has 128 divisors (see below), whose sum is σ = 27412144986240. Its totient is φ = 5402041362432.

The previous prime is 12621934325557. The next prime is 12621934325639. The reversal of 12621934325624 is 42652343912621.

It is a super-2 number, since 2×126219343256242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24258182 + ... + 24773034.

It is an arithmetic number, because the mean of its divisors is an integer number (214157382705).

Almost surely, 212621934325624 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 12621934325624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706072493120).

12621934325624 is an abundant number, since it is smaller than the sum of its proper divisors (14790210660616).

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

12621934325624 is a wasteful number, since it uses less digits than its factorization.

12621934325624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515209 (or 515205 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 50.

The spelling of 12621934325624 in words is "twelve trillion, six hundred twenty-one billion, nine hundred thirty-four million, three hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 277 296 299 481 554 598 851 962 1108 1196 1702 1924 2216 2392 3404 3601 3848 6371 6808 7202 10249 11063 12742 14404 20498 22126 25484 28808 40996 44252 50968 81992 82823 88504 133237 165646 235727 266474 331292 471454 514853 532948 662584 942908 1029706 1065896 1885816 2059412 3064451 4118824 6128902 6693089 11841619 12257804 13386178 19049561 23683238 24515608 26772356 38099122 47366476 53544712 76198244 94732952 142614281 152396488 153941047 247644293 285228562 307882094 438139903 495288586 570457124 615764188 876279806 990577172 1140914248 1231528376 1752559612 1853985653 1981154344 3280128463 3505119224 3707971306 5276728397 5695818739 6560256926 7415942612 10553456794 11391637478 13120513852 14831885224 21106913588 22783274956 26241027704 42213827176 42641670019 45566549912 68597469161 85283340038 121364753131 137194938322 170566680076 242729506262 274389876644 341133360152 485459012524 548779753288 970918025048 1577741790703 3155483581406 6310967162812 12621934325624