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1148771228961 = 33746307223493
BaseRepresentation
bin10000101101111000000…
…110011101110100100001
311001211011211201220101010
4100231320012131310201
5122310140413311321
62235423242131133
7145665423222306
oct20557006356441
94054154656333
101148771228961
11403211457194
121667811b0aa9
13844370bc035
143d85a9390ad
151ed37525676
hex10b7819dd21

1148771228961 has 16 divisors (see below), whose sum is σ = 1573133143104. Its totient is φ = 745129479744.

The previous prime is 1148771228959. The next prime is 1148771228963. The reversal of 1148771228961 is 1698221778411.

It is an interprime number because it is at equal distance from previous prime (1148771228959) and next prime (1148771228963).

It is not a de Polignac number, because 1148771228961 - 21 = 1148771228959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1148771228963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5028331 + ... + 5251823.

It is an arithmetic number, because the mean of its divisors is an integer number (98320821444).

Almost surely, 21148771228961 is an apocalyptic number.

It is an amenable number.

1148771228961 is a deficient number, since it is larger than the sum of its proper divisors (424361914143).

1148771228961 is a wasteful number, since it uses less digits than its factorization.

1148771228961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269840.

The product of its digits is 2709504, while the sum is 57.

The spelling of 1148771228961 in words is "one trillion, one hundred forty-eight billion, seven hundred seventy-one million, two hundred twenty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 37 111 46307 138921 223493 670479 1713359 5140077 8269241 24807723 10349290351 31047871053 382923742987 1148771228961