Search a number
-
+
42878276887392 = 25321512267434927
BaseRepresentation
bin10011011111111011000000…
…11101100110001101100000
312121211010022211200111010200
421233331200131212031200
521110004202340344032
6231110001455025200
712013565446651362
oct1157754035461540
9177733284614120
1042878276887392
1112731636517721
12498612020b200
131ac0533c3093b
14a83469288d32
154e556808d47c
hex26ff60766360

42878276887392 has 144 divisors (see below), whose sum is σ = 122797042647552. Its totient is φ = 14191809350400.

The previous prime is 42878276887249. The next prime is 42878276887393. The reversal of 42878276887392 is 29378867287824.

42878276887392 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 82 + 76 + 8 + 87 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878276887393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98369833 + ... + 98804759.

It is an arithmetic number, because the mean of its divisors is an integer number (852757240608).

Almost surely, 242878276887392 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 42878276887392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61398521323776).

42878276887392 is an abundant number, since it is smaller than the sum of its proper divisors (79918765760160).

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

42878276887392 is a wasteful number, since it uses less digits than its factorization.

42878276887392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437361 (or 437350 counting only the distinct ones).

The product of its digits is 7283146752, while the sum is 81.

The spelling of 42878276887392 in words is "forty-two trillion, eight hundred seventy-eight billion, two hundred seventy-six million, eight hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2267 2416 2718 3624 4534 4832 5436 6801 7248 9068 10872 13602 14496 18136 20403 21744 27204 36272 40806 43488 54408 72544 81612 108816 163224 217632 326448 342317 434927 652896 684634 869854 1026951 1304781 1369268 1739708 2053902 2609562 2738536 3080853 3479416 3914343 4107804 5219124 5477072 6161706 6958832 7828686 8215608 10438248 10954144 12323412 13917664 15657372 16431216 20876496 24646824 31314744 32862432 41752992 49293648 62629488 65673977 98587296 125258976 131347954 197021931 262695908 394043862 525391816 591065793 788087724 985979509 1050783632 1182131586 1576175448 1971959018 2101567264 2364263172 2957938527 3152350896 3943918036 4728526344 5915877054 6304701792 7887836072 8873815581 9457052688 11831754108 15775672144 17747631162 18914105376 23663508216 31551344288 35495262324 47327016432 70990524648 94654032864 141981049296 148882905859 283962098592 297765811718 446648717577 595531623436 893297435154 1191063246872 1339946152731 1786594870308 2382126493744 2679892305462 3573189740616 4764252987488 5359784610924 7146379481232 10719569221848 14292758962464 21439138443696 42878276887392