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135515772348 = 223112188146919
BaseRepresentation
bin111111000110101011…
…1101001010110111100
3110221210022211111211120
41332031113221112330
54210014014203343
6142131033150540
712535131026205
oct1761527512674
9427708744746
10135515772348
1152521136580
122231bb5b450
13ca1884b558
1467b7c6a5ac
1537d21eb683
hex1f8d5e95bc

135515772348 has 48 divisors (see below), whose sum is σ = 344972355840. Its totient is φ = 41062633600.

The previous prime is 135515772347. The next prime is 135515772407. The reversal of 135515772348 is 843277515531.

It is a super-2 number, since 2×1355157723482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135515772348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135515772341) 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 15 ways as a sum of consecutive naturals, for example, 2864833 + ... + 2911751.

It is an arithmetic number, because the mean of its divisors is an integer number (7186924080).

Almost surely, 2135515772348 is an apocalyptic number.

It is an amenable number.

135515772348 is an abundant number, since it is smaller than the sum of its proper divisors (209456583492).

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

135515772348 is a wasteful number, since it uses less digits than its factorization.

135515772348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68818 (or 68816 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 51.

The spelling of 135515772348 in words is "one hundred thirty-five billion, five hundred fifteen million, seven hundred seventy-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 21881 43762 46919 65643 87524 93838 131286 140757 187676 240691 262572 281514 481382 516109 563028 722073 962764 1032218 1444146 1548327 2064436 2888292 3096654 6193308 1026634639 2053269278 3079903917 4106538556 6159807834 11292981029 12319615668 22585962058 33878943087 45171924116 67757886174 135515772348