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138077080911 = 3271110110511877
BaseRepresentation
bin1000000010011000001…
…0010000110101001111
3111012101211101110122200
42000212002100311033
54230240213042121
6143233131012543
712655451552130
oct2004602206517
9435354343580
10138077080911
1153615a04610
122291589a153
1310036395453
14697c0b9c87
1538d1ed7a26
hex2026090d4f

138077080911 has 96 divisors (see below), whose sum is σ = 251493106176. Its totient is φ = 70912800000.

The previous prime is 138077080909. The next prime is 138077080957. The reversal of 138077080911 is 119080770831.

It is a happy number.

It is not a de Polignac number, because 138077080911 - 21 = 138077080909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138077080411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73561705 + ... + 73563581.

It is an arithmetic number, because the mean of its divisors is an integer number (2619719856).

Almost surely, 2138077080911 is an apocalyptic number.

138077080911 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138077080911 is a deficient number, since it is larger than the sum of its proper divisors (113416025265).

138077080911 is a wasteful number, since it uses less digits than its factorization.

138077080911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

It can be divided in two parts, 1380770 and 80911, that added together give a square (1461681 = 12092).

The spelling of 138077080911 in words is "one hundred thirty-eight billion, seventy-seven million, eighty thousand, nine hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 101 231 303 693 707 909 1051 1111 1877 2121 3153 3333 5631 6363 7357 7777 9459 9999 11561 13139 16893 20647 22071 23331 34683 39417 61941 66213 69993 80927 104049 106151 118251 144529 185823 189577 242781 318453 433587 568731 728343 743057 955359 1167661 1300761 1327039 1706193 1972727 2085347 2229171 3502983 3981117 5918181 6256041 6687513 8173627 10508949 11943351 13809089 14597429 17754543 18768123 21699997 24520881 41427267 43792287 65099991 73562643 124281801 131376861 151899979 195299973 199245427 455699937 597736281 1367099811 1394717989 1793208843 2191699697 4184153967 6575099091 12552461901 15341897879 19725297273 46025693637 138077080911