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30661051536 = 243210319310711
BaseRepresentation
bin11100100011100010…
…101000010010010000
32221010211011210121100
4130203202220102100
51000243212122121
622030244424400
72133544431543
oct344342502220
987124153540
1030661051536
1112004400915
125b383a8100
132b7831845b
1416ac16485a
15be6ba6026
hex7238a8490

30661051536 has 120 divisors (see below), whose sum is σ = 87098500736. Its totient is φ = 10067742720.

The previous prime is 30661051493. The next prime is 30661051541. The reversal of 30661051536 is 63515016603.

30661051536 is a `hidden beast` number, since 3 + 0 + 6 + 610 + 5 + 1 + 5 + 36 = 666.

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 30661051536.

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 23 ways as a sum of consecutive naturals, for example, 2857221 + ... + 2867931.

Almost surely, 230661051536 is an apocalyptic number.

30661051536 is a gapful number since it is divisible by the number (36) 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 30661051536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43549250368).

30661051536 is an abundant number, since it is smaller than the sum of its proper divisors (56437449200).

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

30661051536 is a wasteful number, since it uses less digits than its factorization.

30661051536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 30661051536 in words is "thirty billion, six hundred sixty-one million, fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 193 206 309 386 412 579 618 772 824 927 1158 1236 1544 1648 1737 1854 2316 2472 3088 3474 3708 4632 4944 6948 7416 9264 10711 13896 14832 19879 21422 27792 32133 39758 42844 59637 64266 79516 85688 96399 119274 128532 159032 171376 178911 192798 238548 257064 318064 357822 385596 477096 514128 715644 771192 954192 1103233 1431288 1542384 2067223 2206466 2862576 3309699 4134446 4412932 6201669 6619398 8268892 8825864 9929097 12403338 13238796 16537784 17651728 18605007 19858194 24806676 26477592 33075568 37210014 39716388 49613352 52955184 74420028 79432776 99226704 148840056 158865552 212923969 297680112 425847938 638771907 851695876 1277543814 1703391752 1916315721 2555087628 3406783504 3832631442 5110175256 7665262884 10220350512 15330525768 30661051536