Search a number
-
+
137451866652660 = 223571731891713001
BaseRepresentation
bin11111010000001100000001…
…101011110111111111110100
3200000200021021220210120211110
4133100030001223313333310
5121004002410330341120
61204200303230035020
740644366251145540
oct3720140153677764
9600607256716743
10137451866652660
113a8840113a976a
12134bb114048a70
135b90869c17961
1425d29c4b90a20
1510d5689d582e0
hex7d0301af7ff4

137451866652660 has 96 divisors (see below), whose sum is σ = 442388435795712. Its totient is φ = 31235965056000.

The previous prime is 137451866652601. The next prime is 137451866652689. The reversal of 137451866652660 is 66256668154731.

It is a junction number, because it is equal to n+sod(n) for n = 137451866652591 and 137451866652600.

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, 945783841 + ... + 945929160.

It is an arithmetic number, because the mean of its divisors is an integer number (4608212872872).

Almost surely, 2137451866652660 is an apocalyptic number.

137451866652660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137451866652660 is an abundant number, since it is smaller than the sum of its proper divisors (304936569143052).

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

137451866652660 is a wasteful number, since it uses less digits than its factorization.

137451866652660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891713193 (or 1891713191 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 137451866652660 in words is "one hundred thirty-seven trillion, four hundred fifty-one billion, eight hundred sixty-six million, six hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 173 210 346 420 519 692 865 1038 1211 1730 2076 2422 2595 3460 3633 4844 5190 6055 7266 10380 12110 14532 18165 24220 36330 72660 1891713001 3783426002 5675139003 7566852004 9458565005 11350278006 13241991007 18917130010 22700556012 26483982014 28375695015 37834260020 39725973021 52967964028 56751390030 66209955035 79451946042 113502780060 132419910070 158903892084 198629865105 264839820140 327266349173 397259730210 654532698346 794519460420 981799047519 1309065396692 1636331745865 1963598095038 2290864444211 3272663491730 3927196190076 4581728888422 4908995237595 6545326983460 6872593332633 9163457776844 9817990475190 11454322221055 13745186665266 19635980950380 22908644442110 27490373330532 34362966663165 45817288884220 68725933326330 137451866652660