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133153240455032 = 237471132113211879
BaseRepresentation
bin11110010001101000100111…
…100110010001011101111000
3122110110022210021020020201112
4132101220213212101131320
5114423040314024030112
61151105430524135452
740022001266301560
oct3621504746213570
9573408707206645
10133153240455032
1139476a76a36966
1212b25ba6997588
13593b3b1ac8a45
1424c4918d61da0
15105d94c10ba22
hex791a27991778

133153240455032 has 128 divisors (see below), whose sum is σ = 294118459084800. Its totient is φ = 55330790473728.

The previous prime is 133153240455031. The next prime is 133153240455041. The reversal of 133153240455032 is 230554042351331.

133153240455032 is digitally balanced in base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1331532404550323 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133153240455031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628334069 + ... + 628545947.

It is an arithmetic number, because the mean of its divisors is an integer number (2297800461600).

Almost surely, 2133153240455032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133153240455032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059229542400).

133153240455032 is an abundant number, since it is smaller than the sum of its proper divisors (160965218629768).

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

133153240455032 is a wasteful number, since it uses less digits than its factorization.

133153240455032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214165 (or 214161 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 133153240455032 in words is "one hundred thirty-three trillion, one hundred fifty-three billion, two hundred forty million, four hundred fifty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 113 188 226 329 376 452 658 791 904 1316 1582 2113 2632 3164 4226 5311 6328 8452 10622 14791 16904 21244 29582 37177 42488 59164 74354 99311 118328 148708 198622 211879 238769 297416 397244 423758 477538 695177 794488 847516 955076 1390354 1483153 1671383 1695032 1910152 2780708 2966306 3342766 5561416 5932612 6685532 9958313 11222143 11865224 13371064 19916626 22444286 23942327 39833252 44888572 47884654 69708191 78555001 79666504 89777144 95769308 139416382 157110002 167596289 191538616 278832764 314220004 335192578 447700327 557665528 628440008 670385156 895400654 1125289369 1340770312 1790801308 2250578738 3133902289 3581602616 4501157476 6267804578 7877025583 9002314952 12535609156 15754051166 21041915369 25071218312 31508102332 42083830738 50590136951 63016204664 84167661476 101180273902 147293407583 168335322952 202360547804 294586815166 354130958657 404721095608 589173630332 708261917314 1178347260664 1416523834628 2377736436697 2833047669256 4755472873394 9510945746788 16644155056879 19021891493576 33288310113758 66576620227516 133153240455032