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201074371641 = 321113169991957
BaseRepresentation
bin1011101101000011110…
…1110110110000111001
3201020000012220102022200
42323100331312300321
511243300014343031
6232212225340413
720345544646563
oct2732075666071
9636005812280
10201074371641
1178303271550
1232b77497709
1315c65a98940
149a36a6c333
15536c9468e6
hex2ed0f76c39

201074371641 has 48 divisors (see below), whose sum is σ = 341421662400. Its totient is φ = 112421727360.

The previous prime is 201074371637. The next prime is 201074371661. The reversal of 201074371641 is 146173470102.

201074371641 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 4 + 3 + 7 + 1 + 641 = 666.

It is not a de Polignac number, because 201074371641 - 22 = 201074371637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201074371596 and 201074371605.

It is not an unprimeable number, because it can be changed into a prime (201074371661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140635 + ... + 2232591.

It is an arithmetic number, because the mean of its divisors is an integer number (7112951300).

Almost surely, 2201074371641 is an apocalyptic number.

It is an amenable number.

201074371641 is a deficient number, since it is larger than the sum of its proper divisors (140347290759).

201074371641 is a wasteful number, since it uses less digits than its factorization.

201074371641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93686 (or 93683 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 201074371641 in words is "two hundred one billion, seventy-four million, three hundred seventy-one thousand, six hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1699 5097 15291 18689 22087 56067 66261 91957 168201 198783 242957 275871 728871 827613 1011527 1195441 2186613 3034581 3586323 9103743 10758969 13149851 39449553 118348659 156234943 468704829 1406114487 1718584373 2031054259 5155753119 6093162777 15467259357 18279488331 22341596849 67024790547 201074371641