Search a number
-
+
66208130352 = 24337131684171
BaseRepresentation
bin111101101010010011…
…111110010100110000
320022220011021111121000
4331222103332110300
52041043240132402
650225434002000
74532461552050
oct755223762460
9208804244530
1066208130352
1126095844301
12109b8b76300
136321998ac0
1432c119d560
151ac779dc1c
hexf6a4fe530

66208130352 has 160 divisors (see below), whose sum is σ = 233897807360. Its totient is φ = 17461474560.

The previous prime is 66208130279. The next prime is 66208130383. The reversal of 66208130352 is 25303180266.

It is a happy number.

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

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, 802774 + ... + 881397.

It is an arithmetic number, because the mean of its divisors is an integer number (1461861296).

Almost surely, 266208130352 is an apocalyptic number.

It is an amenable number.

66208130352 is an abundant number, since it is smaller than the sum of its proper divisors (167689677008).

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

66208130352 is a wasteful number, since it uses less digits than its factorization.

66208130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684208 (or 1684196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 66208130352 in words is "sixty-six billion, two hundred eight million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 1684171 3368342 5052513 6736684 10105026 11789197 13473368 15157539 20210052 21894223 23578394 26946736 30315078 35367591 40420104 43788446 45472617 47156788 60630156 65682669 70735182 80840208 87576892 90945234 94313576 106102773 121260312 131365338 141470364 153259561 175153784 181890468 188627152 197048007 212205546 242520624 262730676 282940728 306519122 318308319 350307568 363780936 394096014 424411092 459778683 525461352 565881456 591144021 613038244 636616638 727561872 788192028 848822184 919557366 1050922704 1182288042 1226076488 1273233276 1379336049 1576384056 1697644368 1839114732 2364576084 2452152976 2546466552 2758672098 3152768112 3678229464 4138008147 4729152168 5092933104 5517344196 7356458928 8276016294 9458304336 11034688392 16552032588 22069376784 33104065176 66208130352