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145372237077756 = 223133172939663453
BaseRepresentation
bin100001000011011100011100…
…100011010001110011111100
3201001201110011011002110101210
4201003130130203101303330
5123023234320142442011
61233103030032004420
742422540361020043
oct4103343443216374
9631643134073353
10145372237077756
1142358023a90767
121437a144090710
13631670a361c50
1427c80a795b55a
1511c16eb0c06a6
hex84371c8d1cfc

145372237077756 has 48 divisors (see below), whose sum is σ = 366446687521824. Its totient is φ = 44588815239936.

The previous prime is 145372237077733. The next prime is 145372237077887. The reversal of 145372237077756 is 657770732273541.

It is a super-2 number, since 2×1453722370777562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469782275 + ... + 1469881178.

It is an arithmetic number, because the mean of its divisors is an integer number (7634305990038).

Almost surely, 2145372237077756 is an apocalyptic number.

It is an amenable number.

145372237077756 is an abundant number, since it is smaller than the sum of its proper divisors (221074450444068).

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

145372237077756 is a wasteful number, since it uses less digits than its factorization.

145372237077756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939663790 (or 2939663788 counting only the distinct ones).

The product of its (nonzero) digits is 363031200, while the sum is 66.

The spelling of 145372237077756 in words is "one hundred forty-five trillion, three hundred seventy-two billion, two hundred thirty-seven million, seventy-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 951 1268 1902 3804 4121 8242 12363 16484 24726 49452 2939663453 5879326906 8818990359 11758653812 17637980718 35275961436 38215624889 76431249778 114646874667 152862499556 229293749334 458587498668 931873314601 1863746629202 2795619943803 3727493258404 5591239887606 11182479775212 12114353089813 24228706179626 36343059269439 48457412359252 72686118538878 145372237077756