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32137828206 = 231137355127
BaseRepresentation
bin11101111011100100…
…000101011101101110
310001221201222211100120
4131323210011131232
51011304241000311
622433001105410
72215256014101
oct357344053556
9101851884316
1032137828206
11126a1a6a000
12628aa88266
1330522690c3
1417ac340738
15c81664706
hex77b90576e

32137828206 has 64 divisors (see below), whose sum is σ = 71668164096. Its totient is φ = 9605154240.

The previous prime is 32137828181. The next prime is 32137828237. The reversal of 32137828206 is 60282873123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555415 + ... + 610541.

It is an arithmetic number, because the mean of its divisors is an integer number (1119815064).

Almost surely, 232137828206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32137828206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834082048).

32137828206 is an abundant number, since it is smaller than the sum of its proper divisors (39530335890).

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

32137828206 is a wasteful number, since it uses less digits than its factorization.

32137828206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55238 (or 55216 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 32137828206 in words is "thirty-two billion, one hundred thirty-seven million, eight hundred twenty-eight thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 219 242 363 438 726 803 1331 1606 2409 2662 3993 4818 7986 8833 17666 26499 52998 55127 97163 110254 165381 194326 291489 330762 582978 606397 1212794 1819191 3638382 4024271 6670367 8048542 12072813 13340734 20011101 24145626 40022202 44266981 73374037 88533962 132800943 146748074 220122111 265601886 440244222 486936791 973873582 1460810373 2921620746 5356304701 10712609402 16068914103 32137828206