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30150228672 = 2633149117101
BaseRepresentation
bin11100000101000101…
…111111101011000000
32212211012222022101000
4130011011333223000
5443221424304142
621503440012000
72115102500214
oct340505775300
985735868330
1030150228672
1111872022063
125a15301000
132ac65440c5
141660392944
15bb6e0114c
hex70517fac0

30150228672 has 112 divisors (see below), whose sum is σ = 89231724000. Its totient is φ = 9982540800.

The previous prime is 30150228631. The next prime is 30150228697. The reversal of 30150228672 is 27682205103.

30150228672 is a `hidden beast` number, since 3 + 0 + 1 + 502 + 2 + 86 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 198922 + ... + 316022.

Almost surely, 230150228672 is an apocalyptic number.

30150228672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30150228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44615862000).

30150228672 is an abundant number, since it is smaller than the sum of its proper divisors (59081495328).

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

30150228672 is a wasteful number, since it uses less digits than its factorization.

30150228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117271 (or 117255 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 30150228672 in words is "thirty billion, one hundred fifty million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 149 192 216 288 298 432 447 576 596 864 894 1192 1341 1728 1788 2384 2682 3576 4023 4768 5364 7152 8046 9536 10728 14304 16092 21456 28608 32184 42912 64368 85824 117101 128736 234202 257472 351303 468404 702606 936808 1053909 1405212 1873616 2107818 2810424 3161727 3747232 4215636 5620848 6323454 7494464 8431272 11241696 12646908 16862544 17448049 22483392 25293816 33725088 34896098 50587632 52344147 67450176 69792196 101175264 104688294 139584392 157032441 202350528 209376588 279168784 314064882 418753176 471097323 558337568 628129764 837506352 942194646 1116675136 1256259528 1675012704 1884389292 2512519056 3350025408 3768778584 5025038112 7537557168 10050076224 15075114336 30150228672