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133045105373316 = 223312711938130757
BaseRepresentation
bin11110010000000011111010…
…001111101011000010000100
3122110001222200010222221022000
4132100003322033223002010
5114414302333433421231
61150544024434105300
740011122511255633
oct3620037217530204
9573058603887260
10133045105373316
1139435126560534
1212b0904871b230
13593113aa9b6a6
1424bd5bb71351a
15105ac1dae26e6
hex7900fa3eb084

133045105373316 has 96 divisors (see below), whose sum is σ = 347939201863680. Its totient is φ = 43962282185472.

The previous prime is 133045105373303. The next prime is 133045105373317. The reversal of 133045105373316 is 613373501540331.

133045105373316 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 4 + 510 + 53 + 73 + 3 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (133045105373317) 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, 12297810 + ... + 20428566.

It is an arithmetic number, because the mean of its divisors is an integer number (3624366686080).

Almost surely, 2133045105373316 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 133045105373316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173969600931840).

133045105373316 is an abundant number, since it is smaller than the sum of its proper divisors (214894096490364).

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

133045105373316 is a wasteful number, since it uses less digits than its factorization.

133045105373316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132090 (or 8132082 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 133045105373316 in words is "one hundred thirty-three trillion, forty-five billion, one hundred five million, three hundred seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1193 1524 2286 2386 3429 3579 4572 4772 6858 7158 10737 13716 14316 21474 32211 42948 64422 128844 151511 303022 454533 606044 909066 1363599 1818132 2727198 4090797 5454396 8130757 8181594 16261514 16363188 24392271 32523028 48784542 73176813 97569084 146353626 219530439 292707252 439060878 878121756 1032606139 2065212278 3097818417 4130424556 6195636834 9293455251 9699993101 12391273668 18586910502 19399986202 27880365753 29099979303 37173821004 38799972404 55760731506 58199958606 87299937909 111521463012 116399917212 174599875818 261899813727 349199751636 523799627454 1047599254908 1231899123827 2463798247654 3695697371481 4927596495308 7391394742962 11087092114443 14782789485924 22174184228886 33261276343329 44348368457772 66522552686658 133045105373316