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133485877632 = 273477619719
BaseRepresentation
bin111110001010001100…
…0001101100110000000
3110202112212020011202210
41330110120031212000
54141334341041012
6141153401342120
712433622144622
oct1742430154600
9422485204683
10133485877632
115167a330638
1221a54197940
13c784138113
14666442cc12
153713dd123c
hex1f1460d980

133485877632 has 128 divisors (see below), whose sum is σ = 362629094400. Its totient is φ = 43486883840.

The previous prime is 133485877627. The next prime is 133485877639. The reversal of 133485877632 is 236778584331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133485877639) 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, 13729669 + ... + 13739387.

It is an arithmetic number, because the mean of its divisors is an integer number (2833039800).

Almost surely, 2133485877632 is an apocalyptic number.

133485877632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133485877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181314547200).

133485877632 is an abundant number, since it is smaller than the sum of its proper divisors (229143216768).

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

133485877632 is an equidigital number, since it uses as much as digits as its factorization.

133485877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10532 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 133485877632 in words is "one hundred thirty-three billion, four hundred eighty-five million, eight hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 761 1128 1504 1522 2256 2283 3008 3044 4512 4566 6016 6088 9024 9132 9719 12176 18048 18264 19438 24352 29157 35767 36528 38876 48704 58314 71534 73056 77752 97408 107301 116628 143068 146112 155504 214602 233256 286136 292224 311008 429204 456793 466512 572272 622016 858408 913586 933024 1144544 1244032 1370379 1716816 1827172 1866048 2289088 2740758 3433632 3654344 3732096 4578176 5481516 6867264 7308688 7396159 10963032 13734528 14617376 14792318 21926064 22188477 29234752 29584636 43852128 44376954 58469504 59169272 87704256 88753908 118338544 175408512 177507816 236677088 347619473 355015632 473354176 695238946 710031264 946708352 1042858419 1390477892 1420062528 2085716838 2780955784 2840125056 4171433676 5561911568 8342867352 11123823136 16685734704 22247646272 33371469408 44495292544 66742938816 133485877632