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30492099072 = 293253124853
BaseRepresentation
bin11100011001011110…
…001000001000000000
32220201001021010101200
4130121132020020000
5444421434132242
622001411301200
72126423365011
oct343136101000
986631233350
1030492099072
1111a27aa4386
125aab8aa800
132b4c311b96
141693945008
15bd6e3104c
hex719788200

30492099072 has 120 divisors (see below), whose sum is σ = 89663400684. Its totient is φ = 9972178944.

The previous prime is 30492099049. The next prime is 30492099073. The reversal of 30492099072 is 27099029403.

30492099072 is a `hidden beast` number, since 3 + 0 + 492 + 0 + 9 + 90 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29150781696 + 1341317376 = 170736^2 + 36624^2 .

It is a super-2 number, since 2×304920990722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30492099073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181798 + ... + 306650.

Almost surely, 230492099072 is an apocalyptic number.

30492099072 is a gapful number since it is divisible by the number (32) 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 30492099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44831700342).

30492099072 is an abundant number, since it is smaller than the sum of its proper divisors (59171301612).

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

30492099072 is a wasteful number, since it uses less digits than its factorization.

30492099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124930 (or 124911 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 30492099072 in words is "thirty billion, four hundred ninety-two million, ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 20352 27136 30528 40704 61056 81408 122112 124853 244224 249706 374559 499412 749118 998824 1123677 1498236 1997648 2247354 2996472 3995296 4494708 5992944 6617209 7990592 8989416 11985888 13234418 15981184 17978832 19851627 23971776 26468836 31962368 35957664 39703254 47943552 52937672 59554881 63924736 71915328 79406508 95887104 105875344 119109762 143830656 158813016 191774208 211750688 238219524 287661312 317626032 423501376 476439048 575322624 635252064 847002752 952878096 1270504128 1694005504 1905756192 2541008256 3388011008 3811512384 5082016512 7623024768 10164033024 15246049536 30492099072