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30154936320 = 212325163601
BaseRepresentation
bin11100000101010111…
…111101000000000000
32212211112211111001100
4130011113331000000
5443224130430240
621504124534400
72115160505145
oct340527750000
985745744040
1030154936320
1111874747a83
125a169b1400
132ac7501ab2
141660c5a3cc
15bb7530e30
hex7055fd000

30154936320 has 156 divisors (see below), whose sum is σ = 104524990596. Its totient is φ = 8041267200.

The previous prime is 30154936307. The next prime is 30154936333. The reversal of 30154936320 is 2363945103.

It is a happy number.

30154936320 is a `hidden beast` number, since 3 + 0 + 15 + 4 + 9 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30154936307) and next prime (30154936333).

It can be written as a sum of positive squares in 2 ways, for example, as 15383937024 + 14770999296 = 124032^2 + 121536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102520 + ... + 266120.

It is an arithmetic number, because the mean of its divisors is an integer number (670031991).

Almost surely, 230154936320 is an apocalyptic number.

30154936320 is a gapful number since it is divisible by the number (30) 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 30154936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52262495298).

30154936320 is an abundant number, since it is smaller than the sum of its proper divisors (74370054276).

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

30154936320 is a wasteful number, since it uses less digits than its factorization.

30154936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163636 (or 163611 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 30154936320 in words is "thirty billion, one hundred fifty-four million, nine hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 163601 184320 327202 490803 654404 818005 981606 1308808 1472409 1636010 1963212 2454015 2617616 2944818 3272020 3926424 4908030 5235232 5889636 6544040 7362045 7852848 9816060 10470464 11779272 13088080 14724090 15705696 19632120 20940928 23558544 26176160 29448180 31411392 39264240 41881856 47117088 52352320 58896360 62822784 78528480 83763712 94234176 104704640 117792720 125645568 157056960 167527424 188468352 209409280 235585440 251291136 314113920 335054848 376936704 418818560 471170880 502582272 628227840 670109696 753873408 837637120 942341760 1005164544 1256455680 1507746816 1675274240 1884683520 2010329088 2512911360 3015493632 3350548480 3769367040 5025822720 6030987264 7538734080 10051645440 15077468160 30154936320