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149529103808 = 2671936594801
BaseRepresentation
bin1000101101000010100…
…0010000110111000000
3112021221221101111201212
42023100220100313000
54422213422310213
6152405343345252
713542320261030
oct2132050206700
9467857344655
10149529103808
115846230a947
1224b90bb2228
131113cb47466
1473470138c0
153d525b49a8
hex22d0a10dc0

149529103808 has 112 divisors (see below), whose sum is σ = 357130502400. Its totient is φ = 60681830400.

The previous prime is 149529103807. The next prime is 149529103811. The reversal of 149529103808 is 808301925941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149529103807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31143008 + ... + 31147808.

It is an arithmetic number, because the mean of its divisors is an integer number (3188665200).

Almost surely, 2149529103808 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 149529103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178565251200).

149529103808 is an abundant number, since it is smaller than the sum of its proper divisors (207601398592).

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

149529103808 is a wasteful number, since it uses less digits than its factorization.

149529103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 149529103808 in words is "one hundred forty-nine billion, five hundred twenty-nine million, one hundred three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 3659 4256 4801 7318 8512 9602 14636 19204 25613 29272 33607 38408 51226 58544 67214 69521 76816 91219 102452 117088 134428 139042 153632 182438 204904 234176 268856 278084 307264 364876 409808 486647 537712 556168 638533 729752 819616 973294 1075424 1112336 1277066 1459504 1639232 1946588 2150848 2224672 2554132 2919008 3893176 4449344 5108264 5838016 7786352 10216528 15572704 17566859 20433056 31145408 35133718 40866112 70267436 122968013 140534872 245936026 281069744 333770321 491872052 562139488 667540642 983744104 1124278976 1335081284 1967488208 2336392247 2670162568 3934976416 4672784494 5340325136 7869952832 9345568988 10680650272 18691137976 21361300544 37382275952 74764551904 149529103808