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30882162420 = 22325171567569
BaseRepresentation
bin11100110000101110…
…000110011011110100
32221201020020101201100
4130300232012123310
51001221313144140
622104223530100
72142201022644
oct346056063364
987636211640
1030882162420
11121081a278a
125b9a459930
132bb20846b5
1416cd680524
15c0b2d0530
hex730b866f4

30882162420 has 36 divisors (see below), whose sum is σ = 93675893220. Its totient is φ = 8235243264.

The previous prime is 30882162403. The next prime is 30882162431. The reversal of 30882162420 is 2426128803.

30882162420 is a `hidden beast` number, since 3 + 0 + 8 + 8 + 2 + 1 + 624 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15160011876 + 15722150544 = 123126^2 + 125388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 85783605 + ... + 85783964.

It is an arithmetic number, because the mean of its divisors is an integer number (2602108145).

Almost surely, 230882162420 is an apocalyptic number.

30882162420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30882162420 is an abundant number, since it is smaller than the sum of its proper divisors (62793730800).

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

30882162420 is a wasteful number, since it uses less digits than its factorization.

30882162420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171567584 (or 171567579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 30882162420 in words is "thirty billion, eight hundred eighty-two million, one hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 171567569 343135138 514702707 686270276 857837845 1029405414 1544108121 1715675690 2058810828 2573513535 3088216242 3431351380 5147027070 6176432484 7720540605 10294054140 15441081210 30882162420