Search a number
-
+
107143526809677 = 3192359461597781
BaseRepresentation
bin11000010111001001001011…
…110110110000000001001101
3112001100211011121021212202210
4120113021023312300001031
5103020414420330402202
61015513020125541033
731365602322151641
oct3027111366600115
9461324147255683
10107143526809677
11311593507269a6
1210025172414779
1347a278bbc8997
141c65abac12c21
15c5c0b0645c6c
hex61724bdb004d

107143526809677 has 48 divisors (see below), whose sum is σ = 151520807813760. Its totient is φ = 67334608713600.

The previous prime is 107143526809607. The next prime is 107143526809687. The reversal of 107143526809677 is 776908625341701.

It is not a de Polignac number, because 107143526809677 - 231 = 107141379326029 is a prime.

It is a super-2 number, since 2×1071435268096772 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107143526809607) 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, 178936527 + ... + 179534307.

It is an arithmetic number, because the mean of its divisors is an integer number (3156683496120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅107143526809677 = 214287053619354, but 3⋅107143526809677 = 321430580429031 is not.

Almost surely, 2107143526809677 is an apocalyptic number.

It is an amenable number.

107143526809677 is a deficient number, since it is larger than the sum of its proper divisors (44377281004083).

107143526809677 is a wasteful number, since it uses less digits than its factorization.

107143526809677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598642 (or 598623 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 107143526809677 in words is "one hundred seven trillion, one hundred forty-three billion, five hundred twenty-six million, eight hundred nine thousand, six hundred seventy-seven".

Divisors: 1 3 19 57 359 361 461 1077 1083 1383 6821 8759 20463 26277 129599 165499 166421 388797 496497 499263 597781 1793343 3144481 9433443 11357839 34073517 59745139 179235417 214603379 215798941 275577041 643810137 647396823 826731123 4077464201 5235963779 12232392603 15707891337 77471819819 98932157719 99483311801 232415459457 296796473157 298449935403 1879710996661 5639132989983 35714508936559 107143526809677