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10147741441 = 432238211289
BaseRepresentation
bin10010111001101101…
…00011111100000001
3222012012202200021121
421130312203330001
5131240310211231
64354541152241
7506320244005
oct113466437401
928165680247
1010147741441
114338154382
121b7255b681
13c594a8346
146c3a20705
153e5d43311
hex25cda3f01

10147741441 has 16 divisors (see below), whose sum is σ = 10451105280. Its totient is φ = 9847635840.

The previous prime is 10147741423. The next prime is 10147741459. The reversal of 10147741441 is 14414774101.

10147741441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10147741423) and next prime (10147741459).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10147741441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10147741397 and 10147741406.

It is not an unprimeable number, because it can be changed into a prime (10147741411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7871925 + ... + 7873213.

It is an arithmetic number, because the mean of its divisors is an integer number (653194080).

Almost surely, 210147741441 is an apocalyptic number.

It is an amenable number.

10147741441 is a deficient number, since it is larger than the sum of its proper divisors (303363839).

10147741441 is a wasteful number, since it uses less digits than its factorization.

10147741441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 10147741441 in words is "ten billion, one hundred forty-seven million, seven hundred forty-one thousand, four hundred forty-one".

Divisors: 1 43 223 821 1289 9589 35303 55427 183083 287447 1058269 7872569 12360221 45505567 235993987 10147741441