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30628017840 = 2435754733329
BaseRepresentation
bin11100100001100100…
…100111011010110000
32221001112000111220010
4130201210213122300
51000211233032330
622023104414520
72132663566440
oct344144473260
987045014803
1030628017840
1111a97799142
125b29317440
132b715206a4
1416a7a06120
15be3d2d3b0
hex7219276b0

30628017840 has 160 divisors (see below), whose sum is σ = 108712327680. Its totient is φ = 6987681792.

The previous prime is 30628017811. The next prime is 30628017857. The reversal of 30628017840 is 4871082603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902296 + ... + 935624.

It is an arithmetic number, because the mean of its divisors is an integer number (679452048).

Almost surely, 230628017840 is an apocalyptic number.

30628017840 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 30628017840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54356163840).

30628017840 is an abundant number, since it is smaller than the sum of its proper divisors (78084309840).

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

30628017840 is a wasteful number, since it uses less digits than its factorization.

30628017840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33899 (or 33893 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 30628017840 in words is "thirty billion, six hundred twenty-eight million, seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 547 560 840 1094 1641 1680 2188 2735 3282 3829 4376 5470 6564 7658 8205 8752 10940 11487 13128 15316 16410 19145 21880 22974 26256 30632 32820 33329 38290 43760 45948 57435 61264 65640 66658 76580 91896 99987 114870 131280 133316 153160 166645 183792 199974 229740 233303 266632 306320 333290 399948 459480 466606 499935 533264 666580 699909 799896 918960 933212 999870 1166515 1333160 1399818 1599792 1866424 1999740 2333030 2666320 2799636 3499545 3732848 3999480 4666060 5599272 6999090 7998960 9332120 11198544 13998180 18230963 18664240 27996360 36461926 54692889 55992720 72923852 91154815 109385778 127616741 145847704 182309630 218771556 255233482 273464445 291695408 364619260 382850223 437543112 510466964 546928890 638083705 729238520 765700446 875086224 1020933928 1093857780 1276167410 1458477040 1531400892 1914251115 2041867856 2187715560 2552334820 3062801784 3828502230 4375431120 5104669640 6125603568 7657004460 10209339280 15314008920 30628017840