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42248798172 = 22327416835987
BaseRepresentation
bin100111010110001110…
…010111111111011100
311001001101120022122200
4213112032113333130
51143011143020142
631224150211500
73023651600460
oct472616277734
9131041508580
1042248798172
1116a10388429
128231053b90
133ca3c3b279
14208b10c4a0
15117414264c
hex9d6397fdc

42248798172 has 144 divisors (see below), whose sum is σ = 125232936192. Its totient is φ = 11757461760.

The previous prime is 42248798171. The next prime is 42248798197. The reversal of 42248798172 is 27189784224.

42248798172 is a `hidden beast` number, since 4 + 2 + 2 + 487 + 98 + 1 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42248798171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7053763 + ... + 7059749.

It is an arithmetic number, because the mean of its divisors is an integer number (869673168).

Almost surely, 242248798172 is an apocalyptic number.

42248798172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42248798172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62616468096).

42248798172 is an abundant number, since it is smaller than the sum of its proper divisors (82984138020).

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

42248798172 is a wasteful number, since it uses less digits than its factorization.

42248798172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6723 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 42248798172 in words is "forty-two billion, two hundred forty-eight million, seven hundred ninety-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 683 738 861 1148 1366 1476 1722 2049 2583 2732 3444 4098 4781 5166 5987 6147 8196 9562 10332 11974 12294 14343 17961 19124 23948 24588 28003 28686 35922 41909 43029 53883 56006 57372 71844 83818 84009 86058 107766 112012 125727 167636 168018 172116 196021 215532 245467 251454 252027 336036 377181 392042 490934 502908 504054 588063 736401 754362 784084 981868 1008108 1176126 1472802 1508724 1718269 1764189 2209203 2352252 2945604 3436538 3528378 4089121 4418406 5154807 6873076 7056756 8178242 8836812 10309614 12267363 15464421 16356484 20619228 24534726 28623847 30928842 36802089 49069452 57247694 61857684 73604178 85871541 114495388 147208356 167653961 171743082 257614623 335307922 343486164 502961883 515229246 670615844 1005923766 1030458492 1173577727 1508885649 2011847532 2347155454 3017771298 3520733181 4694310908 6035542596 7041466362 10562199543 14082932724 21124399086 42248798172