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153225025520 = 2457911300347
BaseRepresentation
bin1000111010110011101…
…1000101011111110000
3112122111111220210012012
42032230323011133300
510002301101304040
6154220212022052
714033026141010
oct2165473053760
9478444823165
10153225025520
1159a895945a6
1225842901928
13115ab770998
1475b7c11c40
153ebbcc2865
hex23acec57f0

153225025520 has 80 divisors (see below), whose sum is σ = 407589055488. Its totient is φ = 52476453120.

The previous prime is 153225025489. The next prime is 153225025523. The reversal of 153225025520 is 25520522351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153225025523) 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, 359987 + ... + 660333.

Almost surely, 2153225025520 is an apocalyptic number.

153225025520 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 153225025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203794527744).

153225025520 is an abundant number, since it is smaller than the sum of its proper divisors (254364029968).

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

153225025520 is a wasteful number, since it uses less digits than its factorization.

153225025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301278 (or 301272 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

Adding to 153225025520 its reverse (25520522351), we get a palindrome (178745547871).

The spelling of 153225025520 in words is "one hundred fifty-three billion, two hundred twenty-five million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 911 1822 3644 4555 6377 7288 9110 12754 14576 18220 25508 31885 36440 51016 63770 72880 102032 127540 255080 300347 510160 600694 1201388 1501735 2102429 2402776 3003470 4204858 4805552 6006940 8409716 10512145 12013880 16819432 21024290 24027760 33638864 42048580 84097160 168194320 273616117 547232234 1094464468 1368080585 1915312819 2188928936 2736161170 3830625638 4377857872 5472322340 7661251276 9576564095 10944644680 15322502552 19153128190 21889289360 30645005104 38306256380 76612512760 153225025520