Search a number
-
+
46240433516032 = 29747926935087
BaseRepresentation
bin10101000001110001100001…
…00111010010111000000000
320001201112122022112200101221
422200320300213102320000
522030100401440003112
6242202321212004424
712511522022525650
oct1240706047227000
9201645568480357
1046240433516032
1113808504263778
125229857760714
131ca55b9a73a32
14b5c098364360
15552c46be4e07
hex2a0e309d2e00

46240433516032 has 80 divisors (see below), whose sum is σ = 105809644892160. Its totient is φ = 19775955621888.

The previous prime is 46240433516009. The next prime is 46240433516041. The reversal of 46240433516032 is 23061533404264.

It is a super-3 number, since 3×462404335160323 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46240433516032.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11750808 + ... + 15184279.

It is an arithmetic number, because the mean of its divisors is an integer number (1322620561152).

Almost surely, 246240433516032 is an apocalyptic number.

It is an amenable number.

46240433516032 is an abundant number, since it is smaller than the sum of its proper divisors (59569211376128).

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

46240433516032 is an equidigital number, since it uses as much as digits as its factorization.

46240433516032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935591 (or 26935575 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 46240433516032 in words is "forty-six trillion, two hundred forty billion, four hundred thirty-three million, five hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 479 512 896 958 1792 1916 3353 3584 3832 6706 7664 13412 15328 26824 30656 53648 61312 107296 122624 214592 245248 429184 858368 1716736 26935087 53870174 107740348 188545609 215480696 377091218 430961392 754182436 861922784 1508364872 1723845568 3016729744 3447691136 6033459488 6895382272 12066918976 12901906673 13790764544 24133837952 25803813346 48267675904 51607626692 90313346711 96535351808 103215253384 180626693422 206430506768 361253386844 412861013536 722506773688 825722027072 1445013547376 1651444054144 2890027094752 3302888108288 5780054189504 6605776216576 11560108379008 23120216758016 46240433516032