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48432325680 = 2433528379231
BaseRepresentation
bin101101000110110010…
…101010010000110000
311122000022222001202000
4231012302222100300
51243142133410210
634125520454000
73333124655454
oct550662522060
9148008861660
1048432325680
11195a3870142
129477a7a300
13474b04469b
1424b6452664
1513d6e2dac0
hexb46caa430

48432325680 has 160 divisors (see below), whose sum is σ = 167414046720. Its totient is φ = 12869487360.

The previous prime is 48432325673. The next prime is 48432325681. The reversal of 48432325680 is 8652323484.

48432325680 is a `hidden beast` number, since 4 + 84 + 3 + 2 + 3 + 2 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48432325681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571665 + ... + 650895.

It is an arithmetic number, because the mean of its divisors is an integer number (1046337792).

Almost surely, 248432325680 is an apocalyptic number.

48432325680 is a gapful number since it is divisible by the number (40) 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 48432325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83707023360).

48432325680 is an abundant number, since it is smaller than the sum of its proper divisors (118981721040).

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

48432325680 is a wasteful number, since it uses less digits than its factorization.

48432325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79536 (or 79524 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48432325680 in words is "forty-eight billion, four hundred thirty-two million, three hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 283 360 432 540 566 720 849 1080 1132 1415 1698 2160 2264 2547 2830 3396 4245 4528 5094 5660 6792 7641 8490 10188 11320 12735 13584 15282 16980 20376 22640 25470 30564 33960 38205 40752 50940 61128 67920 76410 79231 101880 122256 152820 158462 203760 237693 305640 316924 396155 475386 611280 633848 713079 792310 950772 1188465 1267696 1426158 1584620 1901544 2139237 2376930 2852316 3169240 3565395 3803088 4278474 4753860 5704632 6338480 7130790 8556948 9507720 10696185 11409264 14261580 17113896 19015440 21392370 22422373 28523160 34227792 42784740 44844746 57046320 67267119 85569480 89689492 112111865 134534238 171138960 179378984 201801357 224223730 269068476 336335595 358757968 403602714 448447460 538136952 605404071 672671190 807205428 896894920 1009006785 1076273904 1210808142 1345342380 1614410856 1793789840 2018013570 2421616284 2690684760 3027020355 3228821712 4036027140 4843232568 5381369520 6054040710 8072054280 9686465136 12108081420 16144108560 24216162840 48432325680