Search a number
-
+
7133480380368 = 24322111151203977
BaseRepresentation
bin110011111001110010010…
…0100000110011111010000
3221020221202111211212022200
41213303210210012133100
51413333331434132433
623101024201203200
71334243202531126
oct147634444063720
927227674755280
107133480380368
112300323783791
12972624190500
133c98b858a514
141a9395a33916
15c5858d96613
hex67ce49067d0

7133480380368 has 120 divisors (see below), whose sum is σ = 20075978198016. Its totient is φ = 2364489792000.

The previous prime is 7133480380343. The next prime is 7133480380387. The reversal of 7133480380368 is 8630830843317.

7133480380368 is a `hidden beast` number, since 71 + 3 + 3 + 480 + 38 + 0 + 3 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34869996 + ... + 35073972.

Almost surely, 27133480380368 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 7133480380368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037989099008).

7133480380368 is an abundant number, since it is smaller than the sum of its proper divisors (12942497817648).

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

7133480380368 is a wasteful number, since it uses less digits than its factorization.

7133480380368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205353 (or 205344 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7133480380368 in words is "seven trillion, one hundred thirty-three billion, four hundred eighty million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1151 1266 1688 1899 2302 2532 3376 3453 3798 4604 5064 6906 7596 9208 10128 10359 13812 15192 18416 20718 27624 30384 41436 55248 82872 165744 203977 242861 407954 485722 611931 728583 815908 971444 1223862 1457166 1631816 1835793 1942888 2185749 2447724 2914332 3263632 3671586 3885776 4371498 4895448 5828664 7343172 8742996 9790896 11657328 14686344 17485992 29372688 34971984 43039147 86078294 129117441 172156588 234777527 258234882 344313176 387352323 469555054 516469764 688626352 704332581 774704646 939110108 1032939528 1408665162 1549409292 1878220216 2065879056 2112997743 2817330324 3098818584 3756440432 4225995486 5634660648 6197637168 8451990972 11269321296 16903981944 33807963888 49538058197 99076116394 148614174591 198152232788 297228349182 396304465576 445842523773 594456698364 792608931152 891685047546 1188913396728 1783370095092 2377826793456 3566740190184 7133480380368