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132378237126816 = 253432745776079
BaseRepresentation
bin11110000110010110110101…
…110011001100100010100000
3122100201020100221202000002120
4132012112311303030202200
5114322341112201024231
61145313420025144240
736612004056556632
oct3606266563144240
9570636327660076
10132378237126816
11391a83278456aa
1212a1b95792b080
1358b32a278ba25
1424991d8758a52
1510486dd580d96
hex7865b5ccc8a0

132378237126816 has 72 divisors (see below), whose sum is σ = 355762038098880. Its totient is φ = 43099891099776.

The previous prime is 132378237126787. The next prime is 132378237126893. The reversal of 132378237126816 is 618621732873231.

It is a self number, because there is not a number n which added to its sum of digits gives 132378237126816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372710536 + ... + 373065543.

It is an arithmetic number, because the mean of its divisors is an integer number (4941139418040).

Almost surely, 2132378237126816 is an apocalyptic number.

132378237126816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132378237126816 is an abundant number, since it is smaller than the sum of its proper divisors (223383800972064).

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

132378237126816 is an equidigital number, since it uses as much as digits as its factorization.

132378237126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745776178 (or 745776127 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 132378237126816 in words is "one hundred thirty-two trillion, three hundred seventy-eight billion, two hundred thirty-seven million, one hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1849 2064 3698 4128 5547 7396 11094 14792 22188 29584 44376 59168 88752 177504 745776079 1491552158 2237328237 2983104316 4474656474 5966208632 8949312948 11932417264 17898625896 23864834528 32068371397 35797251792 64136742794 71594503584 96205114191 128273485588 192410228382 256546971176 384820456764 513093942352 769640913528 1026187884704 1378939970071 1539281827056 2757879940142 3078563654112 4136819910213 5515759880284 8273639820426 11031519760568 16547279640852 22063039521136 33094559281704 44126079042272 66189118563408 132378237126816