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46442664440 = 23519223139837
BaseRepresentation
bin101011010000001100…
…101101000111111000
311102212200001210121222
4223100030231013320
51230103310230230
633200243251212
73232615064024
oct532014550770
9142780053558
1046442664440
1118772745207
129001679b08
1344c1a7a143
1423680c9384
15131c40e6e5
hexad032d1f8

46442664440 has 96 divisors (see below), whose sum is σ = 115081080480. Its totient is φ = 16834017024.

The previous prime is 46442664407. The next prime is 46442664473. The reversal of 46442664440 is 4446624464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46442664407) and next prime (46442664473).

It is a junction number, because it is equal to n+sod(n) for n = 46442664391 and 46442664400.

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 23 ways as a sum of consecutive naturals, for example, 262202 + ... + 402038.

It is an arithmetic number, because the mean of its divisors is an integer number (1198761255).

Almost surely, 246442664440 is an apocalyptic number.

46442664440 is a gapful number since it is divisible by the number (40) 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 46442664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57540540240).

46442664440 is an abundant number, since it is smaller than the sum of its proper divisors (68638416040).

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

46442664440 is a wasteful number, since it uses less digits than its factorization.

46442664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139909 (or 139886 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 46442664440 in words is "forty-six billion, four hundred forty-two million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 361 380 437 460 722 760 874 920 1444 1748 1805 2185 2888 3496 3610 4370 7220 8303 8740 14440 16606 17480 33212 41515 66424 83030 139837 166060 279674 332120 559348 699185 1118696 1398370 2656903 2796740 3216251 5313806 5593480 6432502 10627612 12865004 13284515 16081255 21255224 25730008 26569030 32162510 50481157 53138060 61108769 64325020 100962314 106276120 122217538 128650040 201924628 244435076 252405785 305543845 403849256 488870152 504811570 611087690 1009623140 1161066611 1222175380 2019246280 2322133222 2444350760 4644266444 5805333055 9288532888 11610666110 23221332220 46442664440