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20077167481041 = 31123340914994259
BaseRepresentation
bin1001001000010100101000…
…11011111001000011010001
32122002100200022200201010010
410210022110123321003101
510112421014333343131
6110411153505025133
74141345632545466
oct444122433710321
978070608621103
1020077167481041
1164407516a5760
12230310a9251a9
13b28365643c18
144d5a50b4966d
1524c3be844b46
hex1242946f90d1

20077167481041 has 64 divisors (see below), whose sum is σ = 29426716800000. Its totient is φ = 12075235630080.

The previous prime is 20077167481031. The next prime is 20077167481051. The reversal of 20077167481041 is 14018476177002.

It is an interprime number because it is at equal distance from previous prime (20077167481031) and next prime (20077167481051).

It is not a de Polignac number, because 20077167481041 - 210 = 20077167480017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20077167481031) 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 63 ways as a sum of consecutive naturals, for example, 4714054570 + ... + 4714058828.

It is an arithmetic number, because the mean of its divisors is an integer number (459792450000).

Almost surely, 220077167481041 is an apocalyptic number.

It is an amenable number.

20077167481041 is a deficient number, since it is larger than the sum of its proper divisors (9349549318959).

20077167481041 is a wasteful number, since it uses less digits than its factorization.

20077167481041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414.

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 20077167481041 in words is "twenty trillion, seventy-seven billion, one hundred sixty-seven million, four hundred eighty-one thousand, forty-one".

Divisors: 1 3 11 33 233 409 699 1227 1499 2563 4259 4497 4499 7689 12777 13497 16489 46849 49467 95297 140547 285891 349267 613091 992347 1047801 1048267 1741931 1839273 2977041 3144801 3841937 5225793 6384241 6744001 10915817 11525811 19152723 19161241 20232003 32747451 57483723 70226651 142850203 210679953 405869923 428550609 1217609769 1487528153 1571352233 2611154569 4462584459 4464569153 4714056699 7833463707 13393707459 16362809683 28722700259 49088429049 86168100777 608399014577 1825197043731 6692389160347 20077167481041