Search a number
-
+
6661401024 = 263313792953
BaseRepresentation
bin1100011010000110…
…01110100111000000
3122012020121020022110
412031003032213000
5102120304313044
63021000535320
7324034655145
oct61503164700
918166536273
106661401024
112909207203
12135aa81540
13822112215
144729ba3cc
1528ec336b9
hex18d0ce9c0

6661401024 has 112 divisors (see below), whose sum is σ = 18247685120. Its totient is φ = 2142443520.

The previous prime is 6661400981. The next prime is 6661401053. The reversal of 6661401024 is 4201041666.

It is a junction number, because it is equal to n+sod(n) for n = 6661400982 and 6661401000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254332 + ... + 2257284.

It is an arithmetic number, because the mean of its divisors is an integer number (162925760).

Almost surely, 26661401024 is an apocalyptic number.

6661401024 is a gapful number since it is divisible by the number (64) 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 6661401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123842560).

6661401024 is an abundant number, since it is smaller than the sum of its proper divisors (11586284096).

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

6661401024 is a wasteful number, since it uses less digits than its factorization.

6661401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6661401024 is about 81617.4063787866. The cubic root of 6661401024 is about 1881.5764112978.

The spelling of 6661401024 in words is "six billion, six hundred sixty-one million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 379 496 744 758 992 1137 1488 1516 1984 2274 2953 2976 3032 4548 5906 5952 6064 8859 9096 11749 11812 12128 17718 18192 23498 23624 24256 35247 35436 36384 46996 47248 70494 70872 72768 91543 93992 94496 140988 141744 183086 187984 188992 274629 281976 283488 366172 375968 549258 563952 566976 732344 751936 1098516 1119187 1127904 1464688 2197032 2238374 2255808 2929376 3357561 4394064 4476748 5858752 6715122 8788128 8953496 13430244 17576256 17906992 26860488 34694797 35813984 53720976 69389594 71627968 104084391 107441952 138779188 208168782 214883904 277558376 416337564 555116752 832675128 1110233504 1665350256 2220467008 3330700512 6661401024