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133830628848 = 24327137969113
BaseRepresentation
bin111110010100011101…
…1010101010111110000
3110210102212221100112100
41330220323111113300
54143041120110343
6141251514500400
712445306401330
oct1745073252760
9423385840470
10133830628848
11518369a02a4
1221b2b734700
13c80a6a4217
1466981310c0
1537342ce9d3
hex1f28ed55f0

133830628848 has 120 divisors (see below), whose sum is σ = 431170447968. Its totient is φ = 37958178816.

The previous prime is 133830628817. The next prime is 133830628849. The reversal of 133830628848 is 848826038331.

133830628848 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 3 + 0 + 628 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×1338306288482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133830628794 and 133830628803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133830628849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346461 + ... + 622652.

Almost surely, 2133830628848 is an apocalyptic number.

133830628848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133830628848 is an abundant number, since it is smaller than the sum of its proper divisors (297339819120).

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

133830628848 is a wasteful number, since it uses less digits than its factorization.

133830628848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969271 (or 969262 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 133830628848 in words is "one hundred thirty-three billion, eight hundred thirty million, six hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 168 252 274 336 411 504 548 822 959 1008 1096 1233 1644 1918 2192 2466 2877 3288 3836 4932 5754 6576 7672 8631 9864 11508 15344 17262 19728 23016 34524 46032 69048 138096 969113 1938226 2907339 3876452 5814678 6783791 7752904 8722017 11629356 13567582 15505808 17444034 20351373 23258712 27135164 34888068 40702746 46517424 54270328 61054119 69776136 81405492 108540656 122108238 132768481 139552272 162810984 244216476 265536962 325621968 398305443 488432952 531073924 796610886 929379367 976865904 1062147848 1194916329 1593221772 1858758734 2124295696 2389832658 2788138101 3186443544 3717517468 4779665316 5576276202 6372887088 7435034936 8364414303 9559330632 11152552404 14870069872 16728828606 19118661264 22305104808 33457657212 44610209616 66915314424 133830628848