Search a number
-
+
30075383970048 = 283197926089711
BaseRepresentation
bin1101101011010011110001…
…00100111111100100000000
310221111011211012221012210210
412311221320210333210000
512420223341244020143
6143544235103154120
76222606023512434
oct665517044774400
9127434735835723
1030075383970048
11964599820754a
1234589892a5940
1313a21341336a1
1475d9290549c4
153724e2dda033
hex1b5a7893f900

30075383970048 has 144 divisors (see below), whose sum is σ = 85323794124800. Its totient is φ = 9377267927040.

The previous prime is 30075383970007. The next prime is 30075383970077. The reversal of 30075383970048 is 84007938357003.

It is a super-2 number, since 2×300753839700482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 30075383970048.

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, 11892088 + ... + 14197623.

Almost surely, 230075383970048 is an apocalyptic number.

30075383970048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

30075383970048 is an abundant number, since it is smaller than the sum of its proper divisors (55248410154752).

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

30075383970048 is a wasteful number, since it uses less digits than its factorization.

30075383970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26089828 (or 26089814 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 30075383970048 in words is "thirty trillion, seventy-five billion, three hundred eighty-three million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 608 632 768 912 948 1216 1264 1501 1824 1896 2432 2528 3002 3648 3792 4503 4864 5056 6004 7296 7584 9006 10112 12008 14592 15168 18012 20224 24016 30336 36024 48032 60672 72048 96064 144096 192128 288192 384256 576384 1152768 26089711 52179422 78269133 104358844 156538266 208717688 313076532 417435376 495704509 626153064 834870752 991409018 1252306128 1487113527 1669741504 1982818036 2061087169 2504612256 2974227054 3339483008 3965636072 4122174338 5009224512 5948454108 6183261507 6678966016 7931272144 8244348676 10018449024 11896908216 12366523014 15862544288 16488697352 20036898048 23793816432 24733046028 31725088576 32977394704 39160656211 47587632864 49466092056 63450177152 65954789408 78321312422 95175265728 98932184112 117481968633 126900354304 131909578816 156642624844 190350531456 197864368224 234963937266 263819157632 313285249688 380701062912 395728736448 469927874532 527638315264 626570499376 791457472896 939855749064 1253140998752 1582914945792 1879711498128 2506281997504 3759422996256 5012563995008 7518845992512 10025127990016 15037691985024 30075383970048