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149779423680 = 2635213773009
BaseRepresentation
bin1000101101111110001…
…1001010000111000000
3112022121101102002001020
42023133203022013000
54423222013024210
6152450244505440
713551450044415
oct2133743120700
9468541362036
10149779423680
1158580641977
12250409ab280
131117c96c623
14736c37410c
153d6955d770
hex22df8ca1c0

149779423680 has 112 divisors (see below), whose sum is σ = 475778718240. Its totient is φ = 39921942528.

The previous prime is 149779423679. The next prime is 149779423681. The reversal of 149779423680 is 86324977941.

It is an interprime number because it is at equal distance from previous prime (149779423679) and next prime (149779423681).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149779423681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2015016 + ... + 2088024.

It is an arithmetic number, because the mean of its divisors is an integer number (4248024270).

Almost surely, 2149779423680 is an apocalyptic number.

149779423680 is a gapful number since it is divisible by the number (10) 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 149779423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237889359120).

149779423680 is an abundant number, since it is smaller than the sum of its proper divisors (325999294560).

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

149779423680 is a wasteful number, since it uses less digits than its factorization.

149779423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75166 (or 75156 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 149779423680 in words is "one hundred forty-nine billion, seven hundred seventy-nine million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2137 4274 6411 8548 10685 12822 17096 21370 25644 32055 34192 42740 51288 64110 68384 73009 85480 102576 128220 136768 146018 170960 205152 219027 256440 292036 341920 365045 410304 438054 512880 584072 683840 730090 876108 1025760 1095135 1168144 1460180 1752216 2051520 2190270 2336288 2920360 3504432 4380540 4672576 5840720 7008864 8761080 11681440 14017728 17522160 23362880 35044320 70088640 156020233 312040466 468060699 624080932 780101165 936121398 1248161864 1560202330 1872242796 2340303495 2496323728 3120404660 3744485592 4680606990 4992647456 6240809320 7488971184 9361213980 9985294912 12481618640 14977942368 18722427960 24963237280 29955884736 37444855920 49926474560 74889711840 149779423680