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1148686472061 = 32413112971469
BaseRepresentation
bin10000101101110011000…
…011001001001101111101
311001210221221020210202200
4100231303003021031331
5122310002214101221
62235411013342113
7145663343624532
oct20556303111575
94053857223680
101148686472061
11403178627067
12166758937939
138442268471b
143d84d594d89
151ed2ed82426
hex10b730c937d

1148686472061 has 12 divisors (see below), whose sum is σ = 1699682422620. Its totient is φ = 747113152320.

The previous prime is 1148686472051. The next prime is 1148686472249. The reversal of 1148686472061 is 1602746868411.

1148686472061 is a `hidden beast` number, since 1 + 1 + 486 + 86 + 4 + 7 + 20 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241990205625 + 906696266436 = 491925^2 + 952206^2 .

It is not a de Polignac number, because 1148686472061 - 29 = 1148686471549 is a prime.

It is a super-3 number, since 3×11486864720613 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1148686471989 and 1148686472007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148686472051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1556485366 + ... + 1556486103.

It is an arithmetic number, because the mean of its divisors is an integer number (141640201885).

Almost surely, 21148686472061 is an apocalyptic number.

It is an amenable number.

1148686472061 is a deficient number, since it is larger than the sum of its proper divisors (550995950559).

1148686472061 is a wasteful number, since it uses less digits than its factorization.

1148686472061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112971516 (or 3112971513 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1148686472061 in words is "one trillion, one hundred forty-eight billion, six hundred eighty-six million, four hundred seventy-two thousand, sixty-one".

Divisors: 1 3 9 41 123 369 3112971469 9338914407 28016743221 127631830229 382895490687 1148686472061