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153144893248 = 2647199925469
BaseRepresentation
bin1000111010100000100…
…1011001111101000000
3112122021221010122101021
42032220021121331000
510002120043040443
6154204230315224
714031034054144
oct2165011317500
9478257118337
10153144893248
1159a48332a86
122581bab8b14
1311597c95339
1475ab313224
153eb4c449ed
hex23a8259f40

153144893248 has 56 divisors (see below), whose sum is σ = 310530240000. Its totient is φ = 74902814208.

The previous prime is 153144893233. The next prime is 153144893249. The reversal of 153144893248 is 842398441351.

It is a junction number, because it is equal to n+sod(n) for n = 153144893195 and 153144893204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153144893249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6000258 + ... + 6025726.

Almost surely, 2153144893248 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 153144893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155265120000).

153144893248 is an abundant number, since it is smaller than the sum of its proper divisors (157385346752).

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

153144893248 is a wasteful number, since it uses less digits than its factorization.

153144893248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27527 (or 27517 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 153144893248 in words is "one hundred fifty-three billion, one hundred forty-four million, eight hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 1999 3008 3998 7996 15992 25469 31984 50938 63968 93953 101876 127936 187906 203752 375812 407504 751624 815008 1197043 1503248 1630016 2394086 3006496 4788172 6012992 9576344 19152688 38305376 50912531 76610752 101825062 203650124 407300248 814600496 1629200992 2392888957 3258401984 4785777914 9571555828 19143111656 38286223312 76572446624 153144893248