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30517699115072 = 2613232485964153
BaseRepresentation
bin1101111000001011101001…
…00111010111100001000000
311000001110111220220200020002
412330011310213113201000
513000000221433140242
6144523345403535132
76266555014304261
oct674056447274100
9130043456820202
1030517699115072
1197a6535612684
12350a64b82a4a8
131404a6436ca80
147770c9076968
1537dc7e67e432
hex1bc1749d7840

30517699115072 has 112 divisors (see below), whose sum is σ = 68056226071680. Its totient is φ = 13471944634368.

The previous prime is 30517699115051. The next prime is 30517699115089. The reversal of 30517699115072 is 27051199671503.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30517699114999 and 30517699115017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475669748 + ... + 475733900.

It is an arithmetic number, because the mean of its divisors is an integer number (607644875640).

Almost surely, 230517699115072 is an apocalyptic number.

30517699115072 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 30517699115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34028113035840).

30517699115072 is an abundant number, since it is smaller than the sum of its proper divisors (37538526956608).

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

30517699115072 is a wasteful number, since it uses less digits than its factorization.

30517699115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89060 (or 89050 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 56.

The spelling of 30517699115072 in words is "thirty trillion, five hundred seventeen billion, six hundred ninety-nine million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 19136 24859 49718 64153 99436 128306 198872 256612 323167 397744 513224 571757 646334 795488 833989 1026448 1143514 1292668 1475519 1590976 1667978 2052896 2287028 2585336 2951038 3335956 4105792 4574056 5170672 5902076 6671912 7432841 9148112 10341344 11804152 13343824 14865682 18296224 19181747 20682688 23608304 26687648 29731364 36592448 38363494 47216608 53375296 59462728 76726988 94433216 118925456 153453976 237850912 306907952 475701824 613815904 1227631808 1594779427 3189558854 6379117708 12758235416 20732132551 25516470832 36679926821 41464265102 51032941664 73359853642 82928530204 102065883328 146719707284 165857060408 293439414568 331714120816 476839048673 586878829136 663428241632 953678097346 1173757658272 1326856483264 1907356194692 2347515316544 3814712389384 7629424778768 15258849557536 30517699115072