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139919387364 = 223823092
BaseRepresentation
bin1000001001001111011…
…0000110101011100100
3111101011020000100000000
42002103312012223210
54243023330343424
6144140022021300
713052222112021
oct2022366065344
9441136010000
10139919387364
1154380934729
122314a877830
131026ac78b03
146ab4a46548
15398daeb3c9
hex2093d86ae4

139919387364 has 81 divisors (see below), whose sum is σ = 367428860617. Its totient is φ = 46619596656.

The previous prime is 139919387357. The next prime is 139919387393. The reversal of 139919387364 is 463783919931.

The square root of 139919387364 is 374058.

It is a perfect power (a square), and thus also a powerful number.

139919387364 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 193 + 87 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116730188964 + 23189198400 = 341658^2 + 152280^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60596242 + ... + 60598550.

Almost surely, 2139919387364 is an apocalyptic number.

139919387364 is the 374058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139919387364

139919387364 is an abundant number, since it is smaller than the sum of its proper divisors (227509473253).

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

139919387364 is an frugal number, since it uses more digits than its factorization.

139919387364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 2314 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 139919387364 in words is "one hundred thirty-nine billion, nine hundred nineteen million, three hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2309 2916 4374 4618 6561 6927 8748 9236 13122 13854 20781 26244 27708 41562 62343 83124 124686 187029 249372 374058 561087 748116 1122174 1683261 2244348 3366522 5049783 5331481 6733044 10099566 10662962 15149349 15994443 20199132 21325924 30298698 31988886 47983329 60597396 63977772 95966658 143949987 191933316 287899974 431849961 575799948 863699922 1295549883 1727399844 2591099766 3886649649 5182199532 7773299298 11659948947 15546598596 23319897894 34979846841 46639795788 69959693682 139919387364