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30555941364 = 22341347154351
BaseRepresentation
bin11100011101010001…
…101010100111110100
32220212111101122120000
4130131101222213310
51000034310110424
622012011511300
72131130134104
oct343521524764
986774348500
1030555941364
1111a6003a003
125b09158530
132b5c6059a0
14169c203204
15bdc8423c9
hex71d46a9f4

30555941364 has 120 divisors (see below), whose sum is σ = 87854688768. Its totient is φ = 9201729600.

The previous prime is 30555941323. The next prime is 30555941387. The reversal of 30555941364 is 46314955503.

30555941364 is a `hidden beast` number, since 3 + 0 + 55 + 594 + 1 + 3 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120789 + ... + 275139.

Almost surely, 230555941364 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 30555941364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43927344384).

30555941364 is an abundant number, since it is smaller than the sum of its proper divisors (57298747404).

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

30555941364 is a wasteful number, since it uses less digits than its factorization.

30555941364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154427 (or 154416 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 30555941364 in words is "thirty billion, five hundred fifty-five million, nine hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 81 94 108 117 141 156 162 188 234 282 324 351 423 468 564 611 702 846 1053 1222 1269 1404 1692 1833 2106 2444 2538 3666 3807 4212 5076 5499 7332 7614 10998 15228 16497 21996 32994 49491 65988 98982 154351 197964 308702 463053 617404 926106 1389159 1852212 2006563 2778318 4013126 4167477 5556636 6019689 7254497 8026252 8334954 12039378 12502431 14508994 16669908 18059067 21763491 24078756 25004862 29017988 36118134 43526982 50009724 54177201 65290473 72236268 87053964 94308461 108354402 130580946 162531603 188616922 195871419 216708804 261161892 282925383 325063206 377233844 391742838 565850766 587614257 650126412 783485676 848776149 1131701532 1175228514 1697552298 2350457028 2546328447 3395104596 5092656894 7638985341 10185313788 15277970682 30555941364