Search a number
-
+
149529102408 = 23337472104147
BaseRepresentation
bin1000101101000010100…
…0010000100001001000
3112021221221101102211000
42023100220100201020
54422213422234113
6152405343335000
713542320253660
oct2132050204110
9467857342730
10149529102408
1158462309894
1224b90bb1460
131113cb4692a
1473470131a0
153d525b4373
hex22d0a10848

149529102408 has 128 divisors (see below), whose sum is σ = 484795699200. Its totient is φ = 41813589312.

The previous prime is 149529102391. The next prime is 149529102431. The reversal of 149529102408 is 804201925941.

It is a happy number.

149529102408 is a `hidden beast` number, since 14 + 9 + 529 + 102 + 4 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981010 + ... + 1123137.

It is an arithmetic number, because the mean of its divisors is an integer number (3787466400).

Almost surely, 2149529102408 is an apocalyptic number.

149529102408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149529102408 is an abundant number, since it is smaller than the sum of its proper divisors (335266596792).

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

149529102408 is a wasteful number, since it uses less digits than its factorization.

149529102408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104216 (or 2104206 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 149529102408 in words is "one hundred forty-nine billion, five hundred twenty-nine million, one hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2538 2632 2961 3384 3948 5076 5922 7896 8883 10152 11844 17766 23688 35532 71064 2104147 4208294 6312441 8416588 12624882 14729029 16833176 18937323 25249764 29458058 37874646 44187087 50499528 56811969 58916116 75749292 88374174 98894909 113623938 117832232 132561261 151498584 176748348 197789818 227247876 265122522 296684727 353496696 395579636 397683783 454495752 530245044 593369454 692264363 791159272 795367566 890054181 1060490088 1186738908 1384528726 1590735132 1780108362 2076793089 2373477816 2670162543 2769057452 3181470264 3560216724 4153586178 5340325086 5538114904 6230379267 7120433448 8307172356 10680650172 12460758534 16614344712 18691137801 21361300344 24921517068 37382275602 49843034136 74764551204 149529102408