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153144103632 = 24313218878711
BaseRepresentation
bin1000111010100000011…
…0011001001011010000
3112122021212122112020020
42032220012121023100
510002114342304012
6154204201343440
714031024255102
oct2165006311320
9478255575206
10153144103632
1159a47943803
122581b797b80
1311597a79b00
1475ab189572
153eb4b3aa8c
hex23a81992d0

153144103632 has 60 divisors (see below), whose sum is σ = 428395732704. Its totient is φ = 47121260160.

The previous prime is 153144103631. The next prime is 153144103649. The reversal of 153144103632 is 236301441351.

It is a junction number, because it is equal to n+sod(n) for n = 153144103593 and 153144103602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153144103631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9431244 + ... + 9447467.

Almost surely, 2153144103632 is an apocalyptic number.

153144103632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153144103632 is an abundant number, since it is smaller than the sum of its proper divisors (275251629072).

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

153144103632 is a wasteful number, since it uses less digits than its factorization.

153144103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18878748 (or 18878729 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 153144103632 its reverse (236301441351), we get a palindrome (389445544983).

The spelling of 153144103632 in words is "one hundred fifty-three billion, one hundred forty-four million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 18878711 37757422 56636133 75514844 113272266 151029688 226544532 245423243 302059376 453089064 490846486 736269729 906178128 981692972 1472539458 1963385944 2945078916 3190502159 3926771888 5890157832 6381004318 9571506477 11780315664 12762008636 19143012954 25524017272 38286025908 51048034544 76572051816 153144103632