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149554370028 = 223717180158151
BaseRepresentation
bin1000101101001000100…
…0101001010111101100
3112022000200221011110210
42023102020221113230
54422241404320103
6152412045102420
713543045112340
oct2132210512754
9468020834423
10149554370028
11584755a7818
1224b99557a10
131114515289b
14734a50d620
153d54905e03
hex22d22295ec

149554370028 has 96 divisors (see below), whose sum is σ = 422512892928. Its totient is φ = 40193280000.

The previous prime is 149554369973. The next prime is 149554370033. The reversal of 149554370028 is 820073455941.

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 31 ways as a sum of consecutive naturals, for example, 2542753 + ... + 2600903.

It is an arithmetic number, because the mean of its divisors is an integer number (4401175968).

Almost surely, 2149554370028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149554370028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211256446464).

149554370028 is an abundant number, since it is smaller than the sum of its proper divisors (272958522900).

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

149554370028 is a wasteful number, since it uses less digits than its factorization.

149554370028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983 (or 59981 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 149554370028 in words is "one hundred forty-nine billion, five hundred fifty-four million, three hundred seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1801 3602 5403 7204 10806 12607 21612 25214 30617 37821 50428 58151 61234 75642 91851 116302 122468 151284 174453 183702 214319 232604 348906 367404 407057 428638 642957 697812 814114 857276 988567 1221171 1285914 1628228 1977134 2442342 2571828 2965701 3954268 4884684 5931402 6919969 11862804 13839938 20759907 27679876 41519814 83039628 104729951 209459902 314189853 418919804 628379706 733109657 1256759412 1466219314 1780409167 2199328971 2932438628 3560818334 4398657942 5341227501 7121636668 8797315884 10682455002 12462864169 21364910004 24925728338 37388592507 49851456676 74777185014 149554370028