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66380378904 = 23337123735491
BaseRepresentation
bin111101110100100101…
…000011001100011000
320100100011101122012000
4331310211003030120
52041421334111104
650254505521000
74536652624320
oct756445031430
9210304348160
1066380378904
1126173aa2184
1210a467a3160
13634b587718
1432d9dda280
151ad7975639
hexf74943318

66380378904 has 128 divisors (see below), whose sum is σ = 210907660800. Its totient is φ = 18949956480.

The previous prime is 66380378903. The next prime is 66380379001. The reversal of 66380378904 is 40987308366.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66380378903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852599 + ... + 1888089.

It is an arithmetic number, because the mean of its divisors is an integer number (1647716100).

Almost surely, 266380378904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66380378904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105453830400).

66380378904 is an abundant number, since it is smaller than the sum of its proper divisors (144527281896).

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

66380378904 is a wasteful number, since it uses less digits than its factorization.

66380378904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36750 (or 36740 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 66380378904 in words is "sixty-six billion, three hundred eighty million, three hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1237 1512 2474 3711 4948 7422 8659 9896 11133 14844 17318 22266 25977 29688 33399 34636 35491 44532 51954 66798 69272 70982 77931 89064 103908 106473 133596 141964 155862 207816 212946 233793 248437 267192 283928 311724 319419 425892 467586 496874 623448 638838 745311 851784 935172 958257 993748 1277676 1490622 1870344 1916514 1987496 2235933 2555352 2981244 3833028 4471866 5962488 6707799 7666056 8943732 13415598 17887464 26831196 43902367 53662392 87804734 131707101 175609468 263414202 307316569 351218936 395121303 526828404 614633138 790242606 921949707 1053656808 1185363909 1229266276 1580485212 1843899414 2370727818 2458532552 2765849121 3160970424 3687798828 4741455636 5531698242 7375597656 8297547363 9482911272 11063396484 16595094726 22126792968 33190189452 66380378904