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153185900532 = 2237337217177
BaseRepresentation
bin1000111010101010010…
…1110101011111110100
3112122101210022000210120
42032222211311133310
510002211042304112
6154212253251540
714032042446000
oct2165245653764
9478353260716
10153185900532
1159a694a13a5
1225831793bb0
13115a36224c2
1475b2949700
153eb8644e8c
hex23aa9757f4

153185900532 has 48 divisors (see below), whose sum is σ = 416832393600. Its totient is φ = 43767398976.

The previous prime is 153185900521. The next prime is 153185900533. The reversal of 153185900532 is 235009581351.

153185900532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153185900533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604473 + ... + 18612704.

It is an arithmetic number, because the mean of its divisors is an integer number (8684008200).

Almost surely, 2153185900532 is an apocalyptic number.

153185900532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153185900532 is an abundant number, since it is smaller than the sum of its proper divisors (263646493068).

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

153185900532 is a wasteful number, since it uses less digits than its factorization.

153185900532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37217205 (or 37217189 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 153185900532 in words is "one hundred fifty-three billion, one hundred eighty-five million, nine hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 37217177 74434354 111651531 148868708 223303062 260520239 446606124 521040478 781560717 1042080956 1563121434 1823641673 3126242868 3647283346 5470925019 7294566692 10941850038 12765491711 21883700076 25530983422 38296475133 51061966844 76592950266 153185900532