Search a number
-
+
7484995770672 = 243732691690067
BaseRepresentation
bin110110011101011110010…
…0000111001100100110000
3222111120002020001212101110
41230322330200321210300
51440113232404130142
623530320512033320
71401526113204000
oct154727440714460
928446066055343
107484995770672
112426406a85212
12a0a785b32840
13423aa80a92a4
141bc3c0854000
15cea7de8499c
hex6cebc839930

7484995770672 has 160 divisors (see below), whose sum is σ = 22633390656000. Its totient is φ = 2130618884352.

The previous prime is 7484995770649. The next prime is 7484995770683. The reversal of 7484995770672 is 2760775994847.

It is a junction number, because it is equal to n+sod(n) for n = 7484995770594 and 7484995770603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583783 + ... + 5273849.

It is an arithmetic number, because the mean of its divisors is an integer number (141458691600).

Almost surely, 27484995770672 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 7484995770672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316695328000).

7484995770672 is an abundant number, since it is smaller than the sum of its proper divisors (15148394885328).

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

7484995770672 is a wasteful number, since it uses less digits than its factorization.

7484995770672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690368 (or 1690348 counting only the distinct ones).

The product of its (nonzero) digits is 1493614080, while the sum is 75.

The spelling of 7484995770672 in words is "seven trillion, four hundred eighty-four billion, nine hundred ninety-five million, seven hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 269 294 336 343 392 538 588 686 784 807 1029 1076 1176 1372 1614 1883 2058 2152 2352 2744 3228 3766 4116 4304 5488 5649 6456 7532 8232 11298 12912 13181 15064 16464 22596 26362 30128 39543 45192 52724 79086 90384 92267 105448 158172 184534 210896 276801 316344 369068 553602 632688 738136 1107204 1476272 1690067 2214408 3380134 4428816 5070201 6760268 10140402 11830469 13520536 20280804 23660938 27041072 35491407 40561608 47321876 70982814 81123216 82813283 94643752 141965628 165626566 189287504 248439849 283931256 331253132 454628023 496879698 567862512 579692981 662506264 909256046 993759396 1159385962 1325012528 1363884069 1739078943 1818512092 1987518792 2318771924 2727768138 3182396161 3478157886 3637024184 3975037584 4637543848 5455536276 6364792322 6956315772 7274048368 9275087696 9547188483 10911072552 12729584644 13912631544 19094376966 21822145104 22276773127 25459169288 27825263088 38188753932 44553546254 50918338576 66830319381 76377507864 89107092508 133660638762 152755015728 155937411889 178214185016 267321277524 311874823778 356428370032 467812235667 534642555048 623749647556 935624471334 1069285110096 1247499295112 1871248942668 2494998590224 3742497885336 7484995770672