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134104767660 = 223253723578543
BaseRepresentation
bin111110011100101000…
…1000101110010101100
3110211010222210001021200
41330321101011302230
54144121310031120
6141335030325500
712455145501003
oct1747121056254
9424128701250
10134104767660
11519677108a6
1221ba74b9890
13c852418b36
1466c26d1c3a
15374d3d0e90
hex1f39445cac

134104767660 has 144 divisors (see below), whose sum is σ = 418004810496. Its totient is φ = 34775917056.

The previous prime is 134104767659. The next prime is 134104767691. The reversal of 134104767660 is 66767401431.

134104767660 is a `hidden beast` number, since 13 + 41 + 0 + 476 + 76 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15693349 + ... + 15701891.

It is an arithmetic number, because the mean of its divisors is an integer number (2902811184).

Almost surely, 2134104767660 is an apocalyptic number.

134104767660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134104767660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209002405248).

134104767660 is an abundant number, since it is smaller than the sum of its proper divisors (283900042836).

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

134104767660 is a wasteful number, since it uses less digits than its factorization.

134104767660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 134104767660 in words is "one hundred thirty-four billion, one hundred four million, seven hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2357 3330 4714 6660 7071 8543 9428 11785 14142 17086 21213 23570 25629 28284 34172 35355 42426 42715 47140 51258 70710 76887 84852 85430 87209 102516 106065 128145 141420 153774 170860 174418 212130 256290 261627 307548 316091 348836 384435 424260 436045 512580 523254 632182 768870 784881 872090 948273 1046508 1264364 1308135 1537740 1569762 1580455 1744180 1896546 2616270 2844819 3139524 3160910 3793092 3924405 4741365 5232540 5689638 6321820 7848810 9482730 11379276 14224095 15697620 18965460 20135851 28448190 40271702 56896380 60407553 80543404 100679255 120815106 181222659 201358510 241630212 302037765 362445318 402717020 604075530 724890636 745026487 906113295 1208151060 1490052974 1812226590 2235079461 2980105948 3624453180 3725132435 4470158922 6705238383 7450264870 8940317844 11175397305 13410476766 14900529740 22350794610 26820953532 33526191915 44701589220 67052383830 134104767660