Search a number
-
+
30515266133632 = 277103767343093
BaseRepresentation
bin1101111000000111000111…
…00110010001111010000000
311000001020020100211102010101
412330003203212101322000
512444430231112234012
6144522304132412144
76266440512304030
oct674034346217200
9130036210742111
1030515266133632
1197a54a7223715
12350a090a77054
1314047672a7097
14776d37cad8c0
1537db8ac90d57
hex1bc0e3991e80

30515266133632 has 128 divisors (see below), whose sum is σ = 70162024008960. Its totient is φ = 12949012242432.

The previous prime is 30515266133621. The next prime is 30515266133687. The reversal of 30515266133632 is 23633166251503.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×305152661336322 (a number of 28 digits) contains 22 as substring.

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, 708104278 + ... + 708147370.

It is an arithmetic number, because the mean of its divisors is an integer number (548140812570).

Almost surely, 230515266133632 is an apocalyptic number.

30515266133632 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 30515266133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35081012004480).

30515266133632 is an abundant number, since it is smaller than the sum of its proper divisors (39646757875328).

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

30515266133632 is a wasteful number, since it uses less digits than its factorization.

30515266133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50890 (or 50878 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 46.

The spelling of 30515266133632 in words is "thirty trillion, five hundred fifteen billion, two hundred sixty-six million, one hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 824 896 1442 1648 2884 3296 5768 6592 7673 11536 13184 15346 23072 30692 43093 46144 53711 61384 86186 92288 107422 122768 172372 214844 245536 301651 344744 429688 491072 603302 689488 790319 859376 982144 1206604 1378976 1580638 1718752 2413208 2757952 3161276 3437504 4438579 4826416 5515904 5532233 6322552 6875008 8877158 9652832 11064466 12645104 17754316 19305664 22128932 25290208 31070053 35508632 38611328 44257864 50580416 62140106 71017264 88515728 101160832 124280212 142034528 177031456 248560424 284069056 330652589 354062912 497120848 568138112 661305178 708125824 994241696 1322610356 1988483392 2314568123 2645220712 3976966784 4629136246 5290441424 9258272492 10580882848 18516544984 21161765696 34057216667 37033089968 42323531392 68114433334 74066179936 136228866668 148132359872 238400516669 272457733336 296264719744 476801033338 544915466672 953602066676 1089830933344 1907204133352 2179661866688 3814408266704 4359323733376 7628816533408 15257633066816 30515266133632