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133055056554294 = 23767107769957397
BaseRepresentation
bin11110010000001101001011…
…011000011010100100110110
3122110002221100122220022022110
4132100031023120122210312
5114414433223434214134
61150552352114311450
740011624224022240
oct3620151330324466
9573087318808273
10133055056554294
1139439372761046
1212b0ab65288586
135932065625164
1424bdc831a9090
15105b10255a7e9
hex79034b61a936

133055056554294 has 128 divisors (see below), whose sum is σ = 311595650150400. Its totient is φ = 37092882220416.

The previous prime is 133055056554293. The next prime is 133055056554313. The reversal of 133055056554294 is 492455650550331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133055056554293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2318124804 + ... + 2318182200.

It is an arithmetic number, because the mean of its divisors is an integer number (2434341016800).

Almost surely, 2133055056554294 is an apocalyptic number.

133055056554294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133055056554294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155797825075200).

133055056554294 is an abundant number, since it is smaller than the sum of its proper divisors (178540593596106).

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

133055056554294 is a wasteful number, since it uses less digits than its factorization.

133055056554294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65282.

The product of its (nonzero) digits is 48600000, while the sum is 57.

The spelling of 133055056554294 in words is "one hundred thirty-three trillion, fifty-five billion, fifty-six million, five hundred fifty-four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 67 107 134 201 214 321 402 469 642 749 938 1407 1498 2247 2814 4494 7169 7699 14338 15398 21507 23097 43014 46194 50183 53893 57397 100366 107786 114794 150549 161679 172191 301098 323358 344382 401779 515833 803558 823793 1031666 1205337 1547499 1647586 2410674 2471379 3094998 3610831 3845599 4942758 5766551 6141479 7221662 7691198 10832493 11533102 11536797 12282958 17299653 18424437 21664986 23073594 26919193 34599306 36848874 42990353 53838386 55194131 80757579 85980706 110388262 128971059 161515158 165582393 257942118 331164786 386358917 411479093 441899503 772717834 822958186 883799006 1159076751 1234437279 1325698509 2318153502 2468874558 2651397018 2880353651 3093296521 5760707302 6186593042 8641060953 9279889563 17282121906 18559779126 29607266701 47283246821 59214533402 88821800103 94566493642 141849740463 177643600206 207250866907 283699480926 330982727747 414501733814 621752600721 661965455494 992948183241 1243505201442 1985896366482 3167977537007 6335955074014 9503932611021 19007865222042 22175842759049 44351685518098 66527528277147 133055056554294