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139522446505 = 513291096731009
BaseRepresentation
bin1000000111110000101…
…1111001010010101001
3111100010120002122111201
42001330023321102221
54241220221242010
6144032402124201
713036332141031
oct2017413712251
9440116078451
10139522446505
1154197869132
1223059950661
1310206968a70
146a7803a8c1
153968d3e23a
hex207c2f94a9

139522446505 has 64 divisors (see below), whose sum is σ = 188701128000. Its totient is φ = 98322481152.

The previous prime is 139522446467. The next prime is 139522446527. The reversal of 139522446505 is 505644225931.

139522446505 = 2641232 + 2641242.

It can be written as a sum of positive squares in 32 ways, for example, as 113639106816 + 25883339689 = 337104^2 + 160883^2 .

It is a 6-Lehmer number, since φ(139522446505) divides (139522446505-1)6.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-139522446505 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138277441 + ... + 138278449.

It is an arithmetic number, because the mean of its divisors is an integer number (2948455125).

Almost surely, 2139522446505 is an apocalyptic number.

139522446505 is the 264124-th centered square number.

It is an amenable number.

139522446505 is a deficient number, since it is larger than the sum of its proper divisors (49178681495).

139522446505 is a wasteful number, since it uses less digits than its factorization.

139522446505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 139522446505 in words is "one hundred thirty-nine billion, five hundred twenty-two million, four hundred forty-six thousand, five hundred five".

Divisors: 1 5 13 29 65 109 145 377 545 673 1009 1417 1885 3161 3365 5045 7085 8749 13117 15805 19517 29261 41093 43745 65585 73357 97585 109981 146305 205465 253721 366785 380393 549905 679057 953641 1268605 1429753 1901965 2127353 3189449 3395285 4768205 7148765 8827741 10636765 15947245 19692653 27655589 41462837 44138705 74017213 98463265 138277945 207314185 256004489 370086065 962223769 1280022445 2146499177 4811118845 10732495885 27904489301 139522446505