Search a number
-
+
66164305556610 = 23353146147171299
BaseRepresentation
bin11110000101101000100111…
…11011011111010010000010
322200021020122012211011012000
433002310103323133102002
532133013444210302420
6352415243511444430
716636133112561162
oct1702642373372202
9280236565734160
1066164305556610
111a09a140650068
127507104086716
132abc362191621
14124a525bac5a2
1579b1434a8690
hex3c2d13edf482

66164305556610 has 128 divisors (see below), whose sum is σ = 182134711296000. Its totient is φ = 17074189817280.

The previous prime is 66164305556567. The next prime is 66164305556749. The reversal of 66164305556610 is 1665550346166.

66164305556610 is a `hidden beast` number, since 6 + 6 + 1 + 64 + 3 + 0 + 5 + 5 + 566 + 10 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386164741 + ... + 386336039.

It is an arithmetic number, because the mean of its divisors is an integer number (1422927432000).

Almost surely, 266164305556610 is an apocalyptic number.

66164305556610 is an abundant number, since it is smaller than the sum of its proper divisors (115970405739390).

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

66164305556610 is a wasteful number, since it uses less digits than its factorization.

66164305556610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217493 (or 217487 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 66164305556610 in words is "sixty-six trillion, one hundred sixty-four billion, three hundred five million, five hundred fifty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 46147 92294 138441 171299 230735 276882 342598 415323 461470 513897 692205 830646 856495 1027794 1245969 1384410 1430557 1541691 1712990 2076615 2491938 2569485 2861114 3083382 4153230 4291671 4625073 5138970 5310269 6229845 7152785 7708455 8583342 9250146 10620538 12459690 12875013 14305570 15416910 15930807 21458355 23125365 25750026 26551345 31861614 38625039 42916710 46250730 47792421 53102690 64375065 77250078 79654035 95584842 128750130 143377263 159308070 193125195 238962105 286754526 386250390 477924210 716886315 1433772630 7904934953 15809869906 23714804859 39524674765 47429609718 71144414577 79049349530 118574024295 142288829154 213433243731 237148048590 245052983543 355722072885 426866487462 490105967086 711444145770 735158950629 1067166218655 1225264917715 1470317901258 2134332437310 2205476851887 2450529835430 3675794753145 4410953703774 6616430555661 7351589506290 11027384259435 13232861111322 22054768518870 33082152778305 66164305556610