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42267465237756 = 22311934633426041
BaseRepresentation
bin10011001110001001010010…
…10000000100010011111100
312112122201201022210201112110
421213010221100010103330
521020002232100102011
6225521223325334020
711621503122415053
oct1147045120042374
9175581638721473
1042267465237756
11125165932417a0
1248a7874707310
131a77a603b4715
14a61a8316339a
154d4718e88ba6
hex2671294044fc

42267465237756 has 48 divisors (see below), whose sum is σ = 107591094067968. Its totient is φ = 12808182019200.

The previous prime is 42267465237743. The next prime is 42267465237791. The reversal of 42267465237756 is 65773256476224.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10624096 + ... + 14050136.

It is an arithmetic number, because the mean of its divisors is an integer number (2241481126416).

Almost surely, 242267465237756 is an apocalyptic number.

It is an amenable number.

42267465237756 is an abundant number, since it is smaller than the sum of its proper divisors (65323628830212).

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

42267465237756 is a wasteful number, since it uses less digits than its factorization.

42267465237756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519522 (or 3519520 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 66.

The spelling of 42267465237756 in words is "forty-two trillion, two hundred sixty-seven billion, four hundred sixty-five million, two hundred thirty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 93463 186926 280389 373852 560778 1028093 1121556 2056186 3084279 3426041 4112372 6168558 6852082 10278123 12337116 13704164 20556246 37686451 41112492 75372902 113059353 150745804 226118706 452237412 320208069983 640416139966 960624209949 1280832279932 1921248419898 3522288769813 3842496839796 7044577539626 10566866309439 14089155079252 21133732618878 42267465237756