Search a number
-
+
3663425160 = 2332561716493
BaseRepresentation
bin1101101001011011…
…0110111010001000
3100110022101021120100
43122112312322020
530000314101120
61403303525400
7156532412553
oct33226667210
910408337510
103663425160
11160a9a95aa
12862a59860
13464c890c5
1426a77d69a
1516693e490
hexda5b6e88

3663425160 has 96 divisors (see below), whose sum is σ = 11926151640. Its totient is φ = 975270912.

The previous prime is 3663425159. The next prime is 3663425177. The reversal of 3663425160 is 615243663.

3663425160 is a `hidden beast` number, since 3 + 6 + 634 + 2 + 5 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 811224324 + 2852200836 = 28482^2 + 53406^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213874 + ... + 230366.

Almost surely, 23663425160 is an apocalyptic number.

3663425160 is a gapful number since it is divisible by the number (30) 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 3663425160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963075820).

3663425160 is an abundant number, since it is smaller than the sum of its proper divisors (8262726480).

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

3663425160 is a wasteful number, since it uses less digits than its factorization.

3663425160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17127 (or 17120 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3663425160 is about 60526.2353033790. The cubic root of 3663425160 is about 1541.5671290722.

The spelling of 3663425160 in words is "three billion, six hundred sixty-three million, four hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617 1234 1851 2468 3085 3702 4936 5553 6170 7404 9255 11106 12340 14808 16493 18510 22212 24680 27765 32986 37020 44424 49479 55530 65972 74040 82465 98958 111060 131944 148437 164930 197916 222120 247395 296874 329860 395832 494790 593748 659720 742185 989580 1187496 1484370 1979160 2968740 5937480 10176181 20352362 30528543 40704724 50880905 61057086 81409448 91585629 101761810 122114172 152642715 183171258 203523620 244228344 305285430 366342516 407047240 457928145 610570860 732685032 915856290 1221141720 1831712580 3663425160