Search a number
-
+
46536857867440 = 24541109130165747
BaseRepresentation
bin10101001010011001101001…
…11000011101010010110000
320002202212202122020221101201
422211030310320131102300
522044424441103224230
6242550423134340544
712542114502121003
oct1245146470352260
9202685678227351
1046536857867440
1113912197064296
1252771a365a754
131cc7539b6a435
14b6c57865553a
1555a7e55025ca
hex2a5334e1d4b0

46536857867440 has 80 divisors (see below), whose sum is σ = 111854030571360. Its totient is φ = 17994112727040.

The previous prime is 46536857867389. The next prime is 46536857867497. The reversal of 46536857867440 is 4476875863564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×465368578674402 (a number of 28 digits) contains 22 as substring.

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, 64725354 + ... + 65440393.

It is an arithmetic number, because the mean of its divisors is an integer number (1398175382142).

Almost surely, 246536857867440 is an apocalyptic number.

46536857867440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46536857867440 is an abundant number, since it is smaller than the sum of its proper divisors (65317172703920).

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

46536857867440 is a wasteful number, since it uses less digits than its factorization.

46536857867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130165910 (or 130165904 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 73.

The spelling of 46536857867440 in words is "forty-six trillion, five hundred thirty-six billion, eight hundred fifty-seven million, eight hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 109 164 205 218 328 410 436 545 656 820 872 1090 1640 1744 2180 3280 4360 4469 8720 8938 17876 22345 35752 44690 71504 89380 178760 357520 130165747 260331494 520662988 650828735 1041325976 1301657470 2082651952 2603314940 5206629880 5336795627 10413259760 10673591254 14188066423 21347182508 26683978135 28376132846 42694365016 53367956270 56752265692 70940332115 85388730032 106735912540 113504531384 141880664230 213471825080 227009062768 283761328460 426943650160 567522656920 581710723343 1135045313840 1163421446686 2326842893372 2908553616715 4653685786744 5817107233430 9307371573488 11634214466860 23268428933720 46536857867440