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30449552004 = 223212722292
BaseRepresentation
bin11100010110111011…
…110100101010000100
32220121002012111210100
4130112323310222010
5444330041131004
621553251324100
72125365631044
oct342673645204
986532174710
1030449552004
1111a05a84113
125a995b0630
132b43565bc1
14168c02b724
15bd3329739
hex716ef4a84

30449552004 has 81 divisors (see below), whose sum is σ = 77920792677. Its totient is φ = 10025957088.

The previous prime is 30449551999. The next prime is 30449552011. The reversal of 30449552004 is 40025594403.

It is a happy number.

The square root of 30449552004 is 174498.

It is a perfect power (a square), and thus also a powerful number.

30449552004 is a `hidden beast` number, since 3 + 0 + 44 + 95 + 520 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28359233604 + 2090318400 = 168402^2 + 45720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30449552004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132967362 + ... + 132967590.

Almost surely, 230449552004 is an apocalyptic number.

30449552004 is the 174498-th square number.

It is an amenable number.

30449552004 is an abundant number, since it is smaller than the sum of its proper divisors (47471240673).

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

30449552004 is a wasteful number, since it uses less digits than its factorization.

30449552004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 30449552004 by its sum of digits (36), we get a square (1096183872144 = 10469882).

30449552004 divided by its sum of digits (36) gives a square (845820889 = 290832).

The spelling of 30449552004 in words is "thirty billion, four hundred forty-nine million, five hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 127 229 254 381 458 508 687 762 916 1143 1374 1524 2061 2286 2748 4122 4572 8244 16129 29083 32258 48387 52441 58166 64516 87249 96774 104882 116332 145161 157323 174498 193548 209764 261747 290322 314646 348996 471969 523494 580644 629292 943938 1046988 1887876 3693541 6660007 7387082 11080623 13320014 14774164 19980021 22161246 26640028 33241869 39960042 44322492 59940063 66483738 79920084 119880126 132967476 239760252 845820889 1691641778 2537462667 3383283556 5074925334 7612388001 10149850668 15224776002 30449552004