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1670144406 = 23731372937
BaseRepresentation
bin110001110001100…
…0110000110010110
311022101200010102020
41203203012012112
511410024110111
6433420554010
756246664450
oct14343060626
94271603366
101670144406
11787831237
123a73b2906
13208025238
1411bb532d0
159b957906
hex638c6196

1670144406 has 96 divisors (see below), whose sum is σ = 4054321152. Its totient is φ = 448830720.

The previous prime is 1670144303. The next prime is 1670144419. The reversal of 1670144406 is 6044410761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781970 + ... + 1782906.

It is an arithmetic number, because the mean of its divisors is an integer number (42232512).

Almost surely, 21670144406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670144406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027160576).

1670144406 is an abundant number, since it is smaller than the sum of its proper divisors (2384176746).

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

1670144406 is a wasteful number, since it uses less digits than its factorization.

1670144406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1670144406 is about 40867.4002843342. The cubic root of 1670144406 is about 1186.4551917513.

The spelling of 1670144406 in words is "one billion, six hundred seventy million, one hundred forty-four thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 434 518 651 777 937 1147 1302 1369 1554 1874 2294 2738 2811 3441 4107 5622 6559 6882 8029 8214 9583 13118 16058 19166 19677 24087 28749 29047 34669 39354 42439 48174 57498 58094 69338 84878 87141 104007 127317 174282 203329 208014 242683 254634 297073 406658 485366 594146 609987 728049 891219 1074739 1219974 1282753 1456098 1782438 2149478 2565506 3224217 3848259 6448434 7523173 7696518 8979271 15046346 17958542 22569519 26937813 39765343 45139038 53875626 79530686 119296029 238592058 278357401 556714802 835072203 1670144406