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153422435520 = 263251092272153
BaseRepresentation
bin1000111011100010110…
…0001001010011000000
3112200000021101020210200
42032320230021103000
510003202120414040
6154251543125200
714040644120244
oct2167054112300
9480007336720
10153422435520
115a07aa68662
1225898a43800
131161062c133
1475d611c424
153ece2b9630
hex23b8b094c0

153422435520 has 336 divisors, whose sum is σ = 535145101920. Its totient is φ = 40339980288.

The previous prime is 153422435501. The next prime is 153422435561. The reversal of 153422435520 is 25534224351.

153422435520 is a `hidden beast` number, since 1 + 5 + 342 + 243 + 55 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71258764 + ... + 71260916.

Almost surely, 2153422435520 is an apocalyptic number.

153422435520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153422435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267572550960).

153422435520 is an abundant number, since it is smaller than the sum of its proper divisors (381722666400).

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

153422435520 is a wasteful number, since it uses less digits than its factorization.

153422435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 153422435520 its reverse (25534224351), we get a palindrome (178956659871).

The spelling of 153422435520 in words is "one hundred fifty-three billion, four hundred twenty-two million, four hundred thirty-five thousand, five hundred twenty".