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66270048840 = 23325533473273
BaseRepresentation
bin111101101110000000…
…001011001001001000
320100001110210021210100
4331232000023021020
52041210113030330
650235525045400
74534143056322
oct755600131110
9210043707710
1066270048840
1126117795606
1210a15856860
136331768068
1432c94ba612
151acce30060
hexf6e00b248

66270048840 has 96 divisors (see below), whose sum is σ = 219441451320. Its totient is φ = 17338573824.

The previous prime is 66270048829. The next prime is 66270048851. The reversal of 66270048840 is 4884007266.

66270048840 is a `hidden beast` number, since 6 + 62 + 70 + 0 + 488 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (66270048829) and next prime (66270048851).

It can be written as a sum of positive squares in 4 ways, for example, as 47204514756 + 19065534084 = 217266^2 + 138078^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717557 + ... + 1755716.

Almost surely, 266270048840 is an apocalyptic number.

66270048840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66270048840 is an abundant number, since it is smaller than the sum of its proper divisors (153171402480).

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

66270048840 is a wasteful number, since it uses less digits than its factorization.

66270048840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473343 (or 3473336 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 66270048840 in words is "sixty-six billion, two hundred seventy million, forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 3473273 6946546 10419819 13893092 17366365 20839638 27786184 31259457 34732730 41679276 52099095 62518914 69465460 83358552 104198190 125037828 138930920 156297285 184083469 208396380 250075656 312594570 368166938 416792760 552250407 625189140 736333876 920417345 1104500814 1250378280 1472667752 1656751221 1840834690 2209001628 2761252035 3313502442 3681669380 4418003256 5522504070 6627004884 7363338760 8283756105 11045008140 13254009768 16567512210 22090016280 33135024420 66270048840