Search a number
-
+
21880770495974 = 213171512239146423
BaseRepresentation
bin1001111100110100000111…
…00011011000010111100110
32212110210002111221222220022
410332122003203120113212
510331443304221332344
6114311515345035142
74415555614326335
oct476320343302746
985423074858808
1021880770495974
116a76645572835
122554781925ab2
13c2946a183610
1455906bc4dd1c
1527e2808580ee
hex13e6838d85e6

21880770495974 has 64 divisors (see below), whose sum is σ = 37689959301120. Its totient is φ = 9437542156800.

The previous prime is 21880770495971. The next prime is 21880770495977. The reversal of 21880770495974 is 47959407708812.

It is an interprime number because it is at equal distance from previous prime (21880770495971) and next prime (21880770495977).

It is a junction number, because it is equal to n+sod(n) for n = 21880770495898 and 21880770495907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21880770495971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149362127 + ... + 149508549.

It is an arithmetic number, because the mean of its divisors is an integer number (588905614080).

Almost surely, 221880770495974 is an apocalyptic number.

21880770495974 is a deficient number, since it is larger than the sum of its proper divisors (15809188805146).

21880770495974 is a wasteful number, since it uses less digits than its factorization.

21880770495974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148845.

The product of its (nonzero) digits is 284497920, while the sum is 71.

The spelling of 21880770495974 in words is "twenty-one trillion, eight hundred eighty billion, seven hundred seventy million, four hundred ninety-five thousand, nine hundred seventy-four".

Divisors: 1 2 13 17 26 34 151 221 302 442 1963 2239 2567 3926 4478 5134 29107 33371 38063 58214 66742 76126 146423 292846 338089 494819 676178 989638 1903499 2489191 3806998 4395157 4978382 5747513 8790314 11495026 22109873 32359483 44219746 64718966 74717669 149435338 287428349 327841097 375867841 574856698 655682194 751735682 4261934261 4886281933 5573298649 8523868522 9772563866 11146597298 49504005647 72452882437 99008011294 144905764874 643552073411 841568095999 1287104146822 1683136191998 10940385247987 21880770495974