Search a number
-
+
66107892216976 = 2437213724012
BaseRepresentation
bin11110000011111111100010…
…11011101011010010010000
322200001212000200011120111121
433001333301123223102100
532131102430401420401
6352333314010052024
716632065124236221
oct1701776133532220
9280055020146447
1066107892216976
111a078221800025
1274b819b41a014
132ab6c4182389c
1412478d37d5248
15799940a7eca1
hex3c1ff16eb490

66107892216976 has 135 divisors (see below), whose sum is σ = 132938732982657. Its totient is φ = 31846231756800.

The previous prime is 66107892216937. The next prime is 66107892217057. The reversal of 66107892216976 is 67961229870166.

It is a happy number.

The square root of 66107892216976 is 8130676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12148877554576 + 53959014662400 = 3485524^2 + 7345680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164857586376 + ... + 164857586776.

Almost surely, 266107892216976 is an apocalyptic number.

66107892216976 is the 8130676-th square number.

It is an amenable number.

66107892216976 is an abundant number, since it is smaller than the sum of its proper divisors (66830840765681).

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

66107892216976 is an frugal number, since it uses more digits than its factorization.

66107892216976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 70.

The spelling of 66107892216976 in words is "sixty-six trillion, one hundred seven billion, eight hundred ninety-two million, two hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 137 148 274 296 401 548 592 802 1096 1369 1604 2192 2738 3208 5069 5476 6416 10138 10952 14837 18769 20276 21904 29674 37538 40552 54937 59348 75076 81104 109874 118696 150152 160801 187553 219748 237392 300304 321602 375106 439496 548969 643204 694453 750212 878992 1097938 1286408 1388906 1500424 2032669 2195876 2572816 2777812 3000848 4065338 4391752 5555624 5949637 7526369 8130676 8783504 11111248 11899274 15052738 16261352 22029737 23798548 25694761 30105476 32522704 44059474 47597096 51389522 60210952 75208753 88118948 95194192 102779044 120421904 150417506 176237896 205558088 220136569 278475653 300835012 352475792 411116176 440273138 556951306 601670024 815100269 880546276 1113902612 1203340048 1630200538 1761092552 2227805224 3018073969 3260401076 3522185104 4455610448 6036147938 6520802152 10303599161 12072295876 13041604304 20607198322 24144591752 30158709953 41214396644 48289183504 60317419906 82428793288 111668736853 120634839812 164857586576 223337473706 241269679624 446674947412 482539359248 893349894824 1786699789648 4131743263561 8263486527122 16526973054244 33053946108488 66107892216976