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30125266777728 = 273240963937421
BaseRepresentation
bin1101101100110000101011…
…10100110011011010000000
310221122221120122020101210100
412312120111310303122000
512422033021243341403
6144023205001002400
76226323123416553
oct666302564633200
9127587518211710
1030125266777728
119665065806241
12346658aa83400
1313a6a53820435
147620dbd9a69a
153739623312a3
hex1b6615d33680

30125266777728 has 96 divisors (see below), whose sum is σ = 86900547111300. Its totient is φ = 10017203466240.

The previous prime is 30125266777687. The next prime is 30125266777733. The reversal of 30125266777728 is 82777766252103.

It is a happy number.

30125266777728 is a `hidden beast` number, since 3 + 0 + 12 + 526 + 6 + 7 + 7 + 77 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28243782702144 + 1881484075584 = 5314488^2 + 1371672^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 31497543 + ... + 32439878.

Almost surely, 230125266777728 is an apocalyptic number.

It is an amenable number.

30125266777728 is an abundant number, since it is smaller than the sum of its proper divisors (56775280333572).

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

30125266777728 is a wasteful number, since it uses less digits than its factorization.

30125266777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63937850 (or 63937835 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 30125266777728 in words is "thirty trillion, one hundred twenty-five billion, two hundred sixty-six million, seven hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 409 576 818 1152 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 26176 29448 39264 52352 58896 78528 117792 157056 235584 471168 63937421 127874842 191812263 255749684 383624526 511499368 575436789 767249052 1022998736 1150873578 1534498104 2045997472 2301747156 3068996208 4091994944 4603494312 6137992416 8183989888 9206988624 12275984832 18413977248 24551969664 26150405189 36827954496 52300810378 73655908992 78451215567 104601620756 156902431134 209203241512 235353646701 313804862268 418406483024 470707293402 627609724536 836812966048 941414586804 1255219449072 1673625932096 1882829173608 2510438898144 3347251864192 3765658347216 5020877796288 7531316694432 10041755592576 15062633388864 30125266777728