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10720149105861 = 3213891029496697
BaseRepresentation
bin1001101111111111101010…
…1011011110110011000101
31101221211120121211021121100
42123333322223132303011
52401114331132341421
634444433555410313
72154335200631556
oct233777253366305
941854517737540
1010720149105861
113463431773118
1212517782b3999
135c9ba0b47cc0
14290c0245032d
15138cc7dbac26
hex9bffaadecc5

10720149105861 has 24 divisors (see below), whose sum is σ = 16863155913240. Its totient is φ = 6522891065856.

The previous prime is 10720149105851. The next prime is 10720149105877. The reversal of 10720149105861 is 16850194102701.

10720149105861 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 1 + 49 + 1 + 0 + 586 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2218975236 + 10717930130625 = 47106^2 + 3273825^2 .

It is not a de Polignac number, because 10720149105861 - 27 = 10720149105733 is a prime.

It is a super-2 number, since 2×107201491058612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720149105821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514737936 + ... + 514758761.

It is an arithmetic number, because the mean of its divisors is an integer number (702631496385).

Almost surely, 210720149105861 is an apocalyptic number.

It is an amenable number.

10720149105861 is a deficient number, since it is larger than the sum of its proper divisors (6143006807379).

10720149105861 is a wasteful number, since it uses less digits than its factorization.

10720149105861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029496805 (or 1029496802 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10720149105861 in words is "ten trillion, seven hundred twenty billion, one hundred forty-nine million, one hundred five thousand, eight hundred sixty-one".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3471 10413 1029496697 3088490091 9265470273 13383457061 40150371183 91625206033 120451113549 274875618099 824626854297 1191127678429 3573383035287 10720149105861