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30053385984 = 2833111311171
BaseRepresentation
bin11011111111010100…
…100100011100000000
32212120110202012011210
4123333110210130000
5443022131322414
621450100210120
72112515365056
oct337724443400
985513665153
1030053385984
1111822397786
1259a8999940
132aac46773b
1416515841d6
15bad671e59
hex6ff524700

30053385984 has 144 divisors (see below), whose sum is σ = 83304152064. Its totient is φ = 9607987200.

The previous prime is 30053385959. The next prime is 30053385991. The reversal of 30053385984 is 48958335003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 2684719 + ... + 2695889.

It is an arithmetic number, because the mean of its divisors is an integer number (578501056).

Almost surely, 230053385984 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 30053385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41652076032).

30053385984 is an abundant number, since it is smaller than the sum of its proper divisors (53250766080).

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

30053385984 is a wasteful number, since it uses less digits than its factorization.

30053385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 30053385984 in words is "thirty billion, fifty-three million, three hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 128 186 192 226 248 256 339 372 384 452 496 678 744 768 904 992 1356 1488 1808 1984 2712 2976 3503 3616 3968 5424 5952 7006 7232 7936 10509 10848 11171 11904 14012 14464 21018 21696 22342 23808 28024 28928 33513 42036 43392 44684 56048 67026 84072 86784 89368 112096 134052 168144 178736 224192 268104 336288 346301 357472 448384 536208 672576 692602 714944 896768 1038903 1072416 1262323 1345152 1385204 1429888 2077806 2144832 2524646 2690304 2770408 2859776 3786969 4155612 4289664 5049292 5540816 7573938 8311224 8579328 10098584 11081632 15147876 16622448 20197168 22163264 30295752 33244896 39132013 40394336 44326528 60591504 66489792 78264026 80788672 88653056 117396039 121183008 132979584 156528052 161577344 234792078 242366016 265959168 313056104 323154688 469584156 484732032 626112208 939168312 969464064 1252224416 1878336624 2504448832 3756673248 5008897664 7513346496 10017795328 15026692992 30053385984