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29999278080 = 211325325513
BaseRepresentation
bin11011111100000110…
…001010100000000000
32212102200221020002100
4123330012022200000
5442414303344310
621440444350400
72111260441062
oct337406124000
985380836070
1029999278080
11117a48a0702
125992845400
132aa11a1625
1416482db732
15ba8a34ec0
hex6fc18a800

29999278080 has 144 divisors (see below), whose sum is σ = 103972426740. Its totient is φ = 7999782912.

The previous prime is 29999278037. The next prime is 29999278109. The reversal of 29999278080 is 8087299992.

It can be written as a sum of positive squares in 2 ways, for example, as 29760390144 + 238887936 = 172512^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 29999277999 and 29999278017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70597 + ... + 254916.

Almost surely, 229999278080 is an apocalyptic number.

29999278080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29999278080 is an abundant number, since it is smaller than the sum of its proper divisors (73973148660).

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

29999278080 is a wasteful number, since it uses less digits than its factorization.

29999278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325546 (or 325523 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 29999278080 in words is "twenty-nine billion, nine hundred ninety-nine million, two hundred seventy-eight thousand, eighty".

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 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 325513 651026 976539 1302052 1627565 1953078 2604104 2929617 3255130 3906156 4882695 5208208 5859234 6510260 7812312 9765390 10416416 11718468 13020520 14648085 15624624 19530780 20832832 23436936 26041040 29296170 31249248 39061560 41665664 46873872 52082080 58592340 62498496 78123120 83331328 93747744 104164160 117184680 124996992 156246240 166662656 187495488 208328320 234369360 249993984 312492480 333325312 374990976 416656640 468738720 499987968 624984960 666650624 749981952 833313280 937477440 999975936 1249969920 1499963904 1666626560 1874954880 1999951872 2499939840 2999927808 3333253120 3749909760 4999879680 5999855616 7499819520 9999759360 14999639040 29999278080