Search a number
-
+
122533060646460 = 223514913706158909
BaseRepresentation
bin11011110111000101110011…
…100011011001011000111100
3121001212001020200021110011110
4123313011303203121120330
5112030040202011141320
61112334524433322020
734544502320342142
oct3367056343313074
9531761220243143
10122533060646460
1136051a85339502
12118ab88a106310
13534aa833006b9
1422388bb85d592
15e275759135e0
hex6f71738d963c

122533060646460 has 48 divisors (see below), whose sum is σ = 345395204532000. Its totient is φ = 32456184294144.

The previous prime is 122533060646441. The next prime is 122533060646461. The reversal of 122533060646460 is 64646060335221.

It is a super-2 number, since 2×1225330606464602 (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 (122533060646461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6853070515 + ... + 6853088394.

It is an arithmetic number, because the mean of its divisors is an integer number (7195733427750).

Almost surely, 2122533060646460 is an apocalyptic number.

122533060646460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122533060646460 is an abundant number, since it is smaller than the sum of its proper divisors (222862143885540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122533060646460 is a wasteful number, since it uses less digits than its factorization.

122533060646460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13706159070 (or 13706159068 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 122533060646460 in words is "one hundred twenty-two trillion, five hundred thirty-three billion, sixty million, six hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 13706158909 27412317818 41118476727 54824635636 68530794545 82236953454 137061589090 164473906908 205592383635 274123178180 411184767270 822369534540 2042217677441 4084435354882 6126653032323 8168870709764 10211088387205 12253306064646 20422176774410 24506612129292 30633265161615 40844353548820 61266530323230 122533060646460