Search a number
-
+
107014468770 = 232511234699801
BaseRepresentation
bin110001110101010001…
…1110011010010100010
3101020020000121021110100
41203222203303102202
53223131201000040
6121054535243230
710505626655526
oct1435243632242
9336200537410
10107014468770
1141425972330
12188a6b19516
13a125b10291
1452728a5d86
152bb4e60b30
hex18ea8f34a2

107014468770 has 96 divisors (see below), whose sum is σ = 316729056384. Its totient is φ = 24814944000.

The previous prime is 107014468763. The next prime is 107014468787. The reversal of 107014468770 is 77864410701.

107014468770 is a `hidden beast` number, since 107 + 0 + 14 + 468 + 7 + 70 = 666.

It is a super-2 number, since 2×1070144687702 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327131 + ... + 2372670.

It is an arithmetic number, because the mean of its divisors is an integer number (3299261004).

Almost surely, 2107014468770 is an apocalyptic number.

107014468770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107014468770 is an abundant number, since it is smaller than the sum of its proper divisors (209714587614).

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

107014468770 is a wasteful number, since it uses less digits than its factorization.

107014468770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699848 (or 4699845 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 107014468770 in words is "one hundred seven billion, fourteen million, four hundred sixty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 4699801 9399602 14099403 23499005 28198806 42298209 46998010 51697811 70497015 84596418 103395622 108095423 140994030 155093433 211491045 216190846 258489055 310186866 324286269 422982090 465280299 516978110 540477115 648572538 775467165 930560598 972858807 1080954230 1189049653 1550934330 1621431345 1945717614 2326401495 2378099306 3242862690 3567148959 4652802990 4864294035 5945248265 7134297918 9728588070 10701446877 11890496530 17835744795 21402893754 35671489590 53507234385 107014468770