Search a number
-
+
23532442520 = 2353719979901
BaseRepresentation
bin10101111010101001…
…001001001110011000
32020202000102221102012
4111322221021032120
5341143301130040
614451033525052
71462104314066
oct257251111630
966660387365
1023532442520
119a864a5404
124688b73788
1322b0492c02
1411d34cb036
1592ae35865
hex57aa49398

23532442520 has 64 divisors (see below), whose sum is σ = 54652968000. Its totient is φ = 9112435200.

The previous prime is 23532442513. The next prime is 23532442523. The reversal of 23532442520 is 2524423532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23532442523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254570 + ... + 334470.

It is an arithmetic number, because the mean of its divisors is an integer number (853952625).

Almost surely, 223532442520 is an apocalyptic number.

23532442520 is a gapful number since it is divisible by the number (20) 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 23532442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27326484000).

23532442520 is an abundant number, since it is smaller than the sum of its proper divisors (31120525480).

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

23532442520 is a wasteful number, since it uses less digits than its factorization.

23532442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80148 (or 80144 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 23532442520 in words is "twenty-three billion, five hundred thirty-two million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 199 296 370 398 740 796 995 1480 1592 1990 3980 7363 7960 14726 29452 36815 58904 73630 79901 147260 159802 294520 319604 399505 639208 799010 1598020 2956337 3196040 5912674 11825348 14781685 15900299 23650696 29563370 31800598 59126740 63601196 79501495 118253480 127202392 159002990 318005980 588311063 636011960 1176622126 2353244252 2941555315 4706488504 5883110630 11766221260 23532442520