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71838901449 = 3276186321661
BaseRepresentation
bin100001011100111101…
…1101010010011001001
320212102120120022102200
41002321323222103021
52134111224321244
653000300550413
75122143405240
oct1027173522311
9225376508380
1071838901449
1128515206a37
1211b0a852409
136a0b408213
143696d37957
151d06ca0669
hex10b9eea4c9

71838901449 has 48 divisors (see below), whose sum is σ = 120680561664. Its totient is φ = 40329187200.

The previous prime is 71838901429. The next prime is 71838901451. The reversal of 71838901449 is 94410983817.

It is not a de Polignac number, because 71838901449 - 29 = 71838900937 is a prime.

It is a super-2 number, since 2×718389014492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71838901395 and 71838901404.

It is not an unprimeable number, because it can be changed into a prime (71838901429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3305679 + ... + 3327339.

It is an arithmetic number, because the mean of its divisors is an integer number (2514178368).

Almost surely, 271838901449 is an apocalyptic number.

It is an amenable number.

71838901449 is a deficient number, since it is larger than the sum of its proper divisors (48841660215).

71838901449 is a wasteful number, since it uses less digits than its factorization.

71838901449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 71838901449 in words is "seventy-one billion, eight hundred thirty-eight million, nine hundred one thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 61 63 183 427 549 863 1281 2589 3843 6041 7767 18123 21661 52643 54369 64983 151627 157929 194949 368501 454881 473787 1105503 1321321 1364643 3316509 3963963 9249247 11891889 18693443 27747741 56080329 83243223 130854101 168240987 392562303 1140300023 1177686909 3420900069 7982100161 10262700207 23946300483 71838901449