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30631724020 = 22541269138869
BaseRepresentation
bin11100100001110010…
…110000001111110100
32221001202222210211001
4130201302300033310
51000213210132040
622023320053044
72133040233562
oct344162601764
987052883731
1030631724020
1111a9989a6a7
125b2a604184
132b7221a5b1
1416a82cca32
15be431159a
hex721cb03f4

30631724020 has 48 divisors (see below), whose sum is σ = 66141003600. Its totient is φ = 11909319680.

The previous prime is 30631724003. The next prime is 30631724033. The reversal of 30631724020 is 2042713603.

It can be written as a sum of positive squares in 8 ways, for example, as 21772773136 + 8858950884 = 147556^2 + 94122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30631724020.

It is a congruent number.

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, 151146 + ... + 290014.

It is an arithmetic number, because the mean of its divisors is an integer number (1377937575).

Almost surely, 230631724020 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 30631724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33070501800).

30631724020 is an abundant number, since it is smaller than the sum of its proper divisors (35509279580).

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

30631724020 is a wasteful number, since it uses less digits than its factorization.

30631724020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139188 (or 139186 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 30631724020 in words is "thirty billion, six hundred thirty-one million, seven hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 269 410 538 820 1076 1345 2690 5380 11029 22058 44116 55145 110290 138869 220580 277738 555476 694345 1388690 2777380 5693629 11387258 22774516 28468145 37355761 56936290 74711522 113872580 149423044 186778805 373557610 747115220 1531586201 3063172402 6126344804 7657931005 15315862010 30631724020