Search a number
-
+
716073563137401 = 34723347457346259
BaseRepresentation
bin1010001011010000111101111…
…0010111010010010101111001
310110220101222000211000002020000
42202310033132113102111321
51222324122124130344101
611014543353100423213
7303554415302002440
oct24264173627222571
93426358024002200
10716073563137401
11198188102434507
126838ba2b547b09
13249735a7829b31
14c8b8206cc9d57
1557bbab3ba8486
hex28b43de5d2579

716073563137401 has 160 divisors (see below), whose sum is σ = 1282134674810880. Its totient is φ = 389411209338624.

The previous prime is 716073563137381. The next prime is 716073563137511. The reversal of 716073563137401 is 104731365370617.

716073563137401 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 7 + 3 + 563 + 1 + 3 + 74 + 0 + 1 = 666.

It is not a de Polignac number, because 716073563137401 - 26 = 716073563137337 is a prime.

It is a super-2 number, since 2×7160735631374012 (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (716073563137901) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2067855610 + ... + 2068201868.

It is an arithmetic number, because the mean of its divisors is an integer number (8013341717568).

Almost surely, 2716073563137401 is an apocalyptic number.

It is an amenable number.

716073563137401 is a deficient number, since it is larger than the sum of its proper divisors (566061111673479).

716073563137401 is a wasteful number, since it uses less digits than its factorization.

716073563137401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347105 (or 347096 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 716073563137401 in words is "seven hundred sixteen trillion, seventy-three billion, five hundred sixty-three million, one hundred thirty-seven thousand, four hundred one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 347 457 483 567 621 1041 1371 1449 1863 2429 3123 3199 4113 4347 7287 7981 9369 9597 10511 12339 13041 21861 23943 28107 28791 31533 37017 55867 65583 71829 73577 86373 94599 158579 167601 196749 215487 220731 259119 283797 346259 475737 502803 646461 662193 851391 1038777 1110053 1427211 1508409 1986579 2423813 3116331 3330159 3647317 4281633 4525227 5959737 7271439 7963957 9348993 9990477 10941951 12844899 21814317 23891871 25531219 28046979 29971431 32825853 55747699 65442951 71675613 76593657 89914293 98477559 120151873 158240363 167243097 196328853 215026839 229780971 295432677 360455619 474721089 501729291 645080517 689342913 841063111 1081366857 1107682541 1424163267 1505187873 2068028739 2523189333 2763493079 3244100571 3323047623 3639528349 4272489801 4515563619 7569567999 8290479237 9732301713 9969142869 10918585047 12817469403 19344451553 22708703997 24871437711 25476698443 29907428607 32755755141 54909405961 58033354659 68126111991 74614313133 76430095329 89722285821 98267265423 164728217883 174100063977 223842939399 229290285987 294801796269 384365841727 494184653649 522300191931 687870857961 1153097525181 1262916337103 1482553960947 1566900575793 2063612573883 3459292575543 3788749011309 4447661882841 8840414359721 10377877726629 11366247033927 26521243079163 31133633179887 34098741101781 79563729237489 102296223305343 238691187712467 716073563137401