Search a number
-
+
149747162720 = 2556131349019
BaseRepresentation
bin1000101101110110100…
…0000101111001100000
3112022112010201001022212
42023131220011321200
54423140233201340
6152443133221252
713550605611221
oct2133550057140
9468463631285
10149747162720
1158564407821
1225032031828
13111760854bc
147367d77248
153d667d9a65
hex22dda05e60

149747162720 has 96 divisors (see below), whose sum is σ = 360733474080. Its totient is φ = 58727485440.

The previous prime is 149747162711. The next prime is 149747162753. The reversal of 149747162720 is 27261747941.

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 15 ways as a sum of consecutive naturals, for example, 3030371 + ... + 3079389.

It is an arithmetic number, because the mean of its divisors is an integer number (3757640355).

Almost surely, 2149747162720 is an apocalyptic number.

149747162720 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 149747162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180366737040).

149747162720 is an abundant number, since it is smaller than the sum of its proper divisors (210986311360).

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

149747162720 is a wasteful number, since it uses less digits than its factorization.

149747162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49408 (or 49400 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 149747162720 in words is "one hundred forty-nine billion, seven hundred forty-seven million, one hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 313 488 610 626 976 1220 1252 1565 1952 2440 2504 3130 4880 5008 6260 9760 10016 12520 19093 25040 38186 49019 50080 76372 95465 98038 152744 190930 196076 245095 305488 381860 392152 490190 610976 763720 784304 980380 1527440 1568608 1960760 2990159 3054880 3921520 5980318 7843040 11960636 14950795 15342947 23921272 29901590 30685894 47842544 59803180 61371788 76714735 95685088 119606360 122743576 153429470 239212720 245487152 306858940 478425440 490974304 613717880 935919767 1227435760 1871839534 2454871520 3743679068 4679598835 7487358136 9359197670 14974716272 18718395340 29949432544 37436790680 74873581360 149747162720