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153241135424 = 26131709107773
BaseRepresentation
bin1000111010110111100…
…0100010100101000000
3112122112122020020211022
42032231320202211000
510002314212313144
6154221545205012
714033313105446
oct2165570424500
9478478206738
10153241135424
1159a97698173
1225848190768
13115b1bc1580
1475ba006b96
153ebd405cee
hex23ade22940

153241135424 has 56 divisors (see below), whose sum is σ = 327673914120. Its totient is φ = 70684637184.

The previous prime is 153241135393. The next prime is 153241135441. The reversal of 153241135424 is 424531142351.

It can be written as a sum of positive squares in 4 ways, for example, as 9017401600 + 144223733824 = 94960^2 + 379768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368002 + ... + 1475774.

It is an arithmetic number, because the mean of its divisors is an integer number (5851319895).

Almost surely, 2153241135424 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 153241135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163836957060).

153241135424 is an abundant number, since it is smaller than the sum of its proper divisors (174432778696).

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

153241135424 is a wasteful number, since it uses less digits than its factorization.

153241135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109507 (or 109497 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

Adding to 153241135424 its reverse (424531142351), we get a palindrome (577772277775).

The spelling of 153241135424 in words is "one hundred fifty-three billion, two hundred forty-one million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1709 3418 6836 13672 22217 27344 44434 54688 88868 107773 109376 177736 215546 355472 431092 710944 862184 1401049 1421888 1724368 2802098 3448736 5604196 6897472 11208392 22416784 44833568 89667136 184184057 368368114 736736228 1473472456 2394392741 2946944912 4788785482 5893889824 9577570964 11787779648 19155141928 38310283856 76620567712 153241135424