Search a number
-
+
30860531496 = 233531216519
BaseRepresentation
bin11100101111011011…
…100101011100101000
32221122201112102200000
4130233123211130220
51001200244001441
622102132143000
72141516122014
oct345733453450
987581472600
1030860531496
11120a6a69093
125b93167a60
132baa74cb32
1416ca84d544
15c0945b2b6
hex72f6e5728

30860531496 has 144 divisors (see below), whose sum is σ = 89567805600. Its totient is φ = 9954407520.

The previous prime is 30860531479. The next prime is 30860531509. The reversal of 30860531496 is 69413506803.

30860531496 is a `hidden beast` number, since 3 + 0 + 8 + 605 + 31 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1859925 + ... + 1876443.

It is an arithmetic number, because the mean of its divisors is an integer number (621998650).

Almost surely, 230860531496 is an apocalyptic number.

30860531496 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 30860531496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44783902800).

30860531496 is an abundant number, since it is smaller than the sum of its proper divisors (58707274104).

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

30860531496 is a wasteful number, since it uses less digits than its factorization.

30860531496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16602 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30860531496 in words is "thirty billion, eight hundred sixty million, five hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 961 972 1116 1674 1922 1944 2232 2511 2883 3348 3844 5022 5766 6696 7533 7688 8649 10044 11532 15066 16519 17298 20088 23064 25947 30132 33038 34596 49557 51894 60264 66076 69192 77841 99114 103788 132152 148671 155682 198228 207576 233523 297342 311364 396456 446013 467046 512089 594684 622728 892026 934092 1024178 1189368 1338039 1536267 1784052 1868184 2048356 2676078 3072534 3568104 4014117 4096712 4608801 5352156 6145068 8028234 9217602 10704312 12290136 13826403 15874759 16056468 18435204 27652806 31749518 32112936 36870408 41479209 47624277 55305612 63499036 82958418 95248554 110611224 124437627 126998072 142872831 165916836 190497108 248875254 285745662 331833672 380994216 428618493 497750508 571491324 857236986 995501016 1142982648 1285855479 1714473972 2571710958 3428947944 3857566437 5143421916 7715132874 10286843832 15430265748 30860531496