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34632949008 = 2437211348781
BaseRepresentation
bin100000010000010010…
…001101110100010000
310022101122000002122010
4200100102031310100
51031412013332013
623524332142520
72334144131550
oct402022156420
9108348002563
1034632949008
1113762440209
126866607a40
13335c17a748
141967881160
15d7a7297c3
hex81048dd10

34632949008 has 80 divisors (see below), whose sum is σ = 102300146816. Its totient is φ = 9890242560.

The previous prime is 34632948979. The next prime is 34632949019. The reversal of 34632949008 is 80094923643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685578 + ... + 734358.

Almost surely, 234632949008 is an apocalyptic number.

It is an amenable number.

34632949008 is an abundant number, since it is smaller than the sum of its proper divisors (67667197808).

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

34632949008 is a wasteful number, since it uses less digits than its factorization.

34632949008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50912 (or 50906 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 34632949008 in words is "thirty-four billion, six hundred thirty-two million, nine hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2113 4226 6339 8452 12678 14791 16904 25356 29582 33808 44373 48781 50712 59164 88746 97562 101424 118328 146343 177492 195124 236656 292686 341467 354984 390248 585372 682934 709968 780496 1024401 1170744 1365868 2048802 2341488 2731736 4097604 5463472 8195208 16390416 103074253 206148506 309222759 412297012 618445518 721519771 824594024 1236891036 1443039542 1649188048 2164559313 2473782072 2886079084 4329118626 4947564144 5772158168 8658237252 11544316336 17316474504 34632949008