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18484820352 = 273313739041
BaseRepresentation
bin10001001101110001…
…111111100110000000
31202201020110011112000
4101031301333212000
5300324103222402
612254121504000
71223033244345
oct211561774600
952636404460
1018484820352
117926221139
1236ba642000
1319877cc32b
14c74d907cc
15732c23c1c
hex44dc7f980

18484820352 has 128 divisors (see below), whose sum is σ = 54955519200. Its totient is φ = 6116474880.

The previous prime is 18484820351. The next prime is 18484820383. The reversal of 18484820352 is 25302848481.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18484820298 and 18484820307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18484820351) 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, 453952 + ... + 492992.

Almost surely, 218484820352 is an apocalyptic number.

18484820352 is a gapful number since it is divisible by the number (12) 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 18484820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27477759600).

18484820352 is an abundant number, since it is smaller than the sum of its proper divisors (36470698848).

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

18484820352 is a wasteful number, since it uses less digits than its factorization.

18484820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39201 (or 39183 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 18484820352 in words is "eighteen billion, four hundred eighty-four million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 274 288 384 411 432 548 576 822 864 1096 1152 1233 1644 1728 2192 2466 3288 3456 3699 4384 4932 6576 7398 8768 9864 13152 14796 17536 19728 26304 29592 39041 39456 52608 59184 78082 78912 117123 118368 156164 157824 234246 236736 312328 351369 468492 473472 624656 702738 936984 1054107 1249312 1405476 1873968 2108214 2498624 2810952 3747936 4216428 4997248 5348617 5621904 7495872 8432856 10697234 11243808 14991744 16045851 16865712 21394468 22487616 32091702 33731424 42788936 44975232 48137553 64183404 67462848 85577872 96275106 128366808 134925696 144412659 171155744 192550212 256733616 288825318 342311488 385100424 513467232 577650636 684622976 770200848 1026934464 1155301272 1540401696 2053868928 2310602544 3080803392 4621205088 6161606784 9242410176 18484820352