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139649311963561 = 2348922512
BaseRepresentation
bin11111110000001010100011…
…101000011111100110101001
3200022110100021122211110200011
4133300022203220133212221
5121301003242330313221
61213002001441211521
741262221064124501
oct3760124350374651
9608410248743604
10139649311963561
1140550a38a53a44
12137b4b80030ba1
135cbcb4843122a
14266b0c4316a01
1511228ebd7a1e1
hex7f02a3a1f9a9

139649311963561 has 45 divisors (see below), whose sum is σ = 148246446434263. Its totient is φ = 131550528692000.

The previous prime is 139649311963517. The next prime is 139649311963573. The reversal of 139649311963561 is 165369113946931.

The square root of 139649311963561 is 11817331.

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

It can be written as a sum of positive squares in only one way, i.e., 26815629781161 + 112833682182400 = 5178381^2 + 10622320^2 .

It is not a de Polignac number, because 139649311963561 - 211 = 139649311961513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139649311963961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 556371760686 + ... + 556371760936.

Almost surely, 2139649311963561 is an apocalyptic number.

139649311963561 is the 11817331-st square number.

139649311963561 is the 5908666-th centered octagonal number.

It is an amenable number.

139649311963561 is a deficient number, since it is larger than the sum of its proper divisors (8597134470702).

139649311963561 is an frugal number, since it uses more digits than its factorization.

139649311963561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 363 counting only the distinct ones).

The product of its digits is 85030560, while the sum is 67.

The spelling of 139649311963561 in words is "one hundred thirty-nine trillion, six hundred forty-nine billion, three hundred eleven million, nine hundred sixty-three thousand, five hundred sixty-one".

Divisors: 1 23 89 251 529 2047 5773 7921 12167 22339 47081 63001 132779 182183 279841 513797 1082863 1449023 1988171 3053917 4190209 5607089 11817331 24905849 33327529 45727933 70240091 96374807 128963047 271798613 499030921 766533167 1051742459 2216620561 2966150081 6251368099 11477711183 17630262841 24190076557 68221451863 263987357209 556371760811 1569093392849 6071709215807 139649311963561