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153869135424 = 2632947587969
BaseRepresentation
bin1000111101001101010…
…0001010111001000000
3112201011101220221212120
42033103110022321000
510010110444313144
6154404141324240
714055010033314
oct2172324127100
9481141827776
10153869135424
115a28a12a934
12259a2566680
13116820419c4
14763959bb44
154008604e19
hex23d350ae40

153869135424 has 112 divisors (see below), whose sum is σ = 430111814400. Its totient is φ = 48467378176.

The previous prime is 153869135417. The next prime is 153869135477. The reversal of 153869135424 is 424531968351.

It is a super-2 number, since 2×1538691354242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32289 + ... + 555680.

Almost surely, 2153869135424 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 153869135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215055907200).

153869135424 is an abundant number, since it is smaller than the sum of its proper divisors (276242678976).

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

153869135424 is a wasteful number, since it uses less digits than its factorization.

153869135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588060 (or 588050 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 153869135424 in words is "one hundred fifty-three billion, eight hundred sixty-nine million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 141 174 188 192 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 1856 2256 2726 2784 3008 4089 4512 5452 5568 8178 9024 10904 16356 21808 32712 43616 65424 87232 130848 261696 587969 1175938 1763907 2351876 3527814 4703752 7055628 9407504 14111256 17051101 18815008 27634543 28222512 34102202 37630016 51153303 55269086 56445024 68204404 82903629 102306606 110538172 112890048 136408808 165807258 204613212 221076344 272817616 331614516 409226424 442152688 545635232 663229032 801401747 818452848 884305376 1091270464 1326458064 1602803494 1636905696 1768610752 2404205241 2652916128 3205606988 3273811392 4808410482 5305832256 6411213976 9616820964 12822427952 19233641928 25644855904 38467283856 51289711808 76934567712 153869135424