Search a number
-
+
30575626016 = 2513241731889
BaseRepresentation
bin11100011110011100…
…110000011100100000
32220220212102201211012
4130132130300130200
51000104330013031
622013553440052
72131456350545
oct343634603440
986825381735
1030575626016
1111a70164411
125b13870028
132b63708700
1416a0a88bcc
15bde42eb2b
hex71e730720

30575626016 has 144 divisors (see below), whose sum is σ = 67722729480. Its totient is φ = 13571850240.

The previous prime is 30575626007. The next prime is 30575626049. The reversal of 30575626016 is 61062657503.

It can be written as a sum of positive squares in 12 ways, for example, as 1948339600 + 28627286416 = 44140^2 + 169196^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16185200 + ... + 16187088.

Almost surely, 230575626016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30575626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33861364740).

30575626016 is an abundant number, since it is smaller than the sum of its proper divisors (37147103464).

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

30575626016 is a wasteful number, since it uses less digits than its factorization.

30575626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 30575626016 in words is "thirty billion, five hundred seventy-five million, six hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 73 82 104 146 164 169 208 292 328 338 416 533 584 656 676 949 1066 1168 1312 1352 1889 1898 2132 2336 2704 2993 3778 3796 4264 5408 5986 6929 7556 7592 8528 11972 12337 13858 15112 15184 17056 23944 24557 24674 27716 30224 30368 38909 47888 49114 49348 55432 60448 77449 77818 95776 98228 98696 110864 137897 154898 155636 196456 197392 221728 275794 309796 311272 319241 392912 394784 505817 551588 619592 622544 638482 785824 1006837 1011634 1103176 1239184 1245088 1276964 1792661 2013674 2023268 2206352 2478368 2553928 3585322 4027348 4046536 4412704 5107856 5653777 7170644 8054696 8093072 10215712 11307554 13088881 14341288 16109392 16186144 22615108 23304593 26177762 28682576 32218784 45230216 46609186 52355524 57365152 73499101 90460432 93218372 104711048 146998202 180920864 186436744 209422096 293996404 372873488 418844192 587992808 745746976 955488313 1175985616 1910976626 2351971232 3821953252 7643906504 15287813008 30575626016