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66610010500056 = 233317101179603773
BaseRepresentation
bin11110010010100110110100…
…00000111010101111011000
322201211212002011022012212000
433021103122000322233120
532212314300142000211
6353400114423321000
720013262104231162
oct1711233200725730
9281755064265760
1066610010500056
111a2511684539a1
1275795718b0160
132b223b27912aa
141263d280a3932
157a7a2c63c656
hex3c94da03abd8

66610010500056 has 128 divisors (see below), whose sum is σ = 197851517438400. Its totient is φ = 20690354534400.

The previous prime is 66610010500049. The next prime is 66610010500057. The reversal of 66610010500056 is 65000501001666.

66610010500056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66610010500057) 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 31 ways as a sum of consecutive naturals, for example, 89431015 + ... + 90172758.

Almost surely, 266610010500056 is an apocalyptic number.

It is an amenable number.

66610010500056 is an abundant number, since it is smaller than the sum of its proper divisors (131241506938344).

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

66610010500056 is a wasteful number, since it uses less digits than its factorization.

66610010500056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179603906 (or 179603896 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 66610010500056 in words is "sixty-six trillion, six hundred ten billion, ten million, five hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 101 102 108 136 153 202 204 216 303 306 404 408 459 606 612 808 909 918 1212 1224 1717 1818 1836 2424 2727 3434 3636 3672 5151 5454 6868 7272 10302 10908 13736 15453 20604 21816 30906 41208 46359 61812 92718 123624 185436 370872 179603773 359207546 538811319 718415092 1077622638 1436830184 1616433957 2155245276 3053264141 3232867914 4310490552 4849301871 6106528282 6465735828 9159792423 9698603742 12213056564 12931471656 18139981073 18319584846 19397207484 24426113128 27479377269 36279962146 36639169692 38794414968 54419943219 54958754538 72559924292 73278339384 82438131807 108839886438 109917509076 145119848584 163259829657 164876263614 217679772876 219835018152 308379678241 326519659314 329752527228 435359545752 489779488971 616759356482 653039318628 659505054456 925139034723 979558977942 1233518712964 1306078637256 1850278069446 1959117955884 2467037425928 2775417104169 3700556138892 3918235911768 5550834208338 7401112277784 8326251312507 11101668416676 16652502625014 22203336833352 33305005250028 66610010500056