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36212426145 = 32572131912451
BaseRepresentation
bin100001101110011011…
…011100010110100001
310110110201001211221100
4201232123130112201
51043130340114040
624345153545013
72421243354300
oct415633342641
9113421054840
1036212426145
11143a2a74815
127027575169
1335514790bc
141a77552437
15e1e222b30
hex86e6dc5a1

36212426145 has 72 divisors (see below), whose sum is σ = 73077301440. Its totient is φ = 16540372800.

The previous prime is 36212426113. The next prime is 36212426167. The reversal of 36212426145 is 54162421263.

36212426145 is a `hidden beast` number, since 3 + 6 + 212 + 426 + 14 + 5 = 666.

36212426145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36212426145 - 25 = 36212426113 is a prime.

It is a super-2 number, since 2×362124261452 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2902170 + ... + 2914620.

It is an arithmetic number, because the mean of its divisors is an integer number (1014962520).

Almost surely, 236212426145 is an apocalyptic number.

36212426145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36212426145 is an abundant number, since it is smaller than the sum of its proper divisors (36864875295).

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

36212426145 is a wasteful number, since it uses less digits than its factorization.

36212426145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13795 (or 13785 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 36212426145 in words is "thirty-six billion, two hundred twelve million, four hundred twenty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 1319 2205 3957 6595 9233 11871 12451 19785 27699 37353 46165 59355 62255 64631 83097 87157 112059 138495 186765 193893 261471 323155 415485 435785 560295 581679 610099 784413 969465 1307355 1830297 2908395 3050495 3922065 5490891 9151485 16422869 27454455 49268607 82114345 114960083 147805821 246343035 344880249 574800415 739029105 804720581 1034640747 1724401245 2414161743 4023602905 5173203735 7242485229 12070808715 36212426145