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48433477433484 = 2231121319135046111
BaseRepresentation
bin10110000001100110011000…
…01101111011100010001100
320100111012021022120121111110
423000303030031323202030
522322013230210332414
6251002010554052020
713126126502334003
oct1300631415734214
9210435238517443
1048433477433484
1114483582397a00
12552289571a010
132104346459ca0
14bd629b12bc3a
1558ecec605459
hex2c0ccc37b88c

48433477433484 has 144 divisors (see below), whose sum is σ = 140815281904640. Its totient is φ = 12834782294400.

The previous prime is 48433477433477. The next prime is 48433477433501.

48433477433484 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67164412 + ... + 67881699.

Almost surely, 248433477433484 is an apocalyptic number.

48433477433484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48433477433484 is an abundant number, since it is smaller than the sum of its proper divisors (92381804471156).

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

48433477433484 is a wasteful number, since it uses less digits than its factorization.

48433477433484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135046172 (or 135046159 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 66.

The spelling of 48433477433484 in words is "forty-eight trillion, four hundred thirty-three billion, four hundred seventy-seven million, four hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 121 132 143 156 209 228 242 247 286 363 418 429 484 494 572 627 726 741 836 858 988 1254 1452 1482 1573 1716 2299 2508 2717 2964 3146 4598 4719 5434 6292 6897 8151 9196 9438 10868 13794 16302 18876 27588 29887 32604 59774 89661 119548 179322 358644 135046111 270092222 405138333 540184444 810276666 1485507221 1620553332 1755599443 2565876109 2971014442 3511198886 4456521663 5131752218 5266798329 5942028884 7022397772 7697628327 8913043326 10263504436 10533596658 15395256654 16340579431 17826086652 19311593873 21067193316 28224637199 30790513308 32681158862 33356389417 38623187746 49021738293 56449274398 57934781619 65362317724 66712778834 77246375492 84673911597 98043476586 100069168251 112898548796 115869563238 133425557668 169347823194 196086953172 200138336502 212427532603 231739126476 310471009189 338695646388 366920283587 400276673004 424855065206 620942018378 637282597809 733840567174 849710130412 931413027567 1100760850761 1241884036756 1274565195618 1467681134348 1862826055134 2201521701522 2549130391236 3725652110268 4036123119457 4403043403044 8072246238914 12108369358371 16144492477828 24216738716742 48433477433484