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133055641540350 = 232521717392894319
BaseRepresentation
bin11110010000001101101110…
…001111111101011011111110
3122110002222212102122200022200
4132100031232033331123332
5114414440423213242400
61150552530132452330
740011644556230034
oct3620155617753376
9573088772580280
10133055641540350
11394396429947a1
1212b0b0a917a0a6
135932129894c59
1424bdcdab64554
15105b138aaeb00
hex79036e3fd6fe

133055641540350 has 72 divisors (see below), whose sum is σ = 378504166191840. Its totient is φ = 33394357090560.

The previous prime is 133055641540313. The next prime is 133055641540351. The reversal of 133055641540350 is 53045146550331.

133055641540350 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 56 + 4 + 1 + 540 + 3 + 50 = 666.

It is a super-3 number, since 3×1330556415403503 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 133055641540296 and 133055641540305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133055641540351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8696439510 + ... + 8696454809.

It is an arithmetic number, because the mean of its divisors is an integer number (5257002308220).

Almost surely, 2133055641540350 is an apocalyptic number.

133055641540350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133055641540350 is an abundant number, since it is smaller than the sum of its proper divisors (245448524651490).

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

133055641540350 is a wasteful number, since it uses less digits than its factorization.

133055641540350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392894354 (or 17392894346 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 133055641540350 in words is "one hundred thirty-three trillion, fifty-five billion, six hundred forty-one million, five hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 17392894319 34785788638 52178682957 86964471595 104357365914 156536048871 173928943190 260893414785 295679203423 313072097742 434822357975 521786829570 591358406846 782680244355 869644715950 887037610269 1304467073925 1478396017115 1565360488710 1774075220538 2608934147850 2661112830807 2956792034230 3913401221775 4435188051345 5322225661614 7391980085575 7826802443550 8870376102690 13305564154035 14783960171150 22175940256725 26611128308070 44351880513450 66527820770175 133055641540350