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18330046956 = 2235134135381
BaseRepresentation
bin10001000100100011…
…100101000111101100
31202022110012212100000
4101010203211013230
5300014443000311
612230512304300
71216143554064
oct210443450754
952273185300
1018330046956
117856919641
123676842090
13196171b840
14c5c5c23a4
15724350056
hex4448e51ec

18330046956 has 144 divisors (see below), whose sum is σ = 53010161568. Its totient is φ = 5502297600.

The previous prime is 18330046951. The next prime is 18330046967. The reversal of 18330046956 is 65964003381.

18330046956 is a `hidden beast` number, since 183 + 3 + 0 + 0 + 469 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (18330046951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500386 + ... + 535766.

It is an arithmetic number, because the mean of its divisors is an integer number (368126122).

Almost surely, 218330046956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18330046956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505080784).

18330046956 is an abundant number, since it is smaller than the sum of its proper divisors (34680114612).

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

18330046956 is a wasteful number, since it uses less digits than its factorization.

18330046956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35454 (or 35440 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 18330046956 in words is "eighteen billion, three hundred thirty million, forty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 81 82 108 117 123 156 162 164 234 243 246 324 351 369 468 486 492 533 702 738 972 1053 1066 1107 1404 1476 1599 2106 2132 2214 3159 3198 3321 4212 4428 4797 6318 6396 6642 9594 9963 12636 13284 14391 19188 19926 28782 35381 39852 43173 57564 70762 86346 106143 129519 141524 172692 212286 259038 318429 424572 459953 518076 636858 919906 955287 1273716 1379859 1450621 1839812 1910574 2759718 2865861 2901242 3821148 4139577 4351863 5519436 5731722 5802484 8279154 8597583 8703726 11463444 12418731 13055589 16558308 17195166 17407452 18858073 24837462 26111178 34390332 37256193 37716146 39166767 49674924 52222356 56574219 74512386 75432292 78333534 111768579 113148438 117500301 149024772 156667068 169722657 223537158 226296876 235000602 339445314 352500903 447074316 470001204 509167971 678890628 705001806 1018335942 1410003612 1527503913 2036671884 3055007826 4582511739 6110015652 9165023478 18330046956