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30375852024 = 23377921110847
BaseRepresentation
bin11100010010100010…
…101011011111111000
32220101221112011102110
4130102202223133320
5444202204231044
621542055532320
72123512324230
oct342242533770
986357464373
1030375852024
1111978416241
125a7898a0a0
132b3120024b
141682324cc0
15bcbb1c6b9
hex7128ab7f8

30375852024 has 128 divisors (see below), whose sum is σ = 88311398400. Its totient is φ = 8527559040.

The previous prime is 30375852011. The next prime is 30375852053. The reversal of 30375852024 is 42025857303.

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 31 ways as a sum of consecutive naturals, for example, 2794969 + ... + 2805815.

It is an arithmetic number, because the mean of its divisors is an integer number (689932800).

Almost surely, 230375852024 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 30375852024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155699200).

30375852024 is an abundant number, since it is smaller than the sum of its proper divisors (57935546376).

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

30375852024 is a wasteful number, since it uses less digits than its factorization.

30375852024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 30375852024 in words is "thirty billion, three hundred seventy-five million, eight hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 211 237 316 422 474 553 632 633 844 948 1106 1266 1477 1659 1688 1896 2212 2532 2954 3318 4424 4431 5064 5908 6636 8862 10847 11816 13272 16669 17724 21694 32541 33338 35448 43388 50007 65082 66676 75929 86776 100014 116683 130164 133352 151858 200028 227787 233366 260328 303716 350049 400056 455574 466732 607432 700098 856913 911148 933464 1400196 1713826 1822296 2288717 2570739 2800392 3427652 4577434 5141478 5998391 6855304 6866151 9154868 10282956 11996782 13732302 16021019 17995173 18309736 20565912 23993564 27464604 32042038 35990346 47987128 48063057 54929208 64084076 71980692 96126114 128168152 143961384 180808643 192252228 361617286 384504456 542425929 723234572 1084851858 1265660501 1446469144 2169703716 2531321002 3796981503 4339407432 5062642004 7593963006 10125284008 15187926012 30375852024