Search a number
-
+
105472472526984 = 23383439617195479
BaseRepresentation
bin10111111110110100111001…
…010000100011000010001000
3111211110001212221211211221210
4113332310321100203002020
5102311030110431330414
61012153215053133120
731134064123131513
oct2776647120430210
9454401787754853
10105472472526984
1130674696097232
12b9b533178a1a0
1346b101c2c35b4
141c08c758b1d7a
15c2d8ab0eae59
hex5fed39423088

105472472526984 has 128 divisors (see below), whose sum is σ = 267900804864000. Its totient is φ = 34598442514944.

The previous prime is 105472472526929. The next prime is 105472472527021. The reversal of 105472472526984 is 489625274274501.

It is a super-2 number, since 2×1054724725269842 (a number of 29 digits) contains 22 as substring.

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, 539461357 + ... + 539656835.

It is an arithmetic number, because the mean of its divisors is an integer number (2092975038000).

Almost surely, 2105472472526984 is an apocalyptic number.

It is an amenable number.

105472472526984 is an abundant number, since it is smaller than the sum of its proper divisors (162428332337016).

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

105472472526984 is a wasteful number, since it uses less digits than its factorization.

105472472526984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196627 (or 196623 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 105472472526984 in words is "one hundred five trillion, four hundred seventy-two billion, four hundred seventy-two million, five hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 439 498 617 664 878 996 1234 1317 1756 1851 1992 2468 2634 3512 3702 4936 5268 7404 10536 14808 36437 51211 72874 102422 109311 145748 153633 195479 204844 218622 270863 291496 307266 390958 409688 437244 541726 586437 614532 781916 812589 874488 1083452 1172874 1229064 1563832 1625178 2166904 2345748 3250356 4691496 6500712 16224757 22481629 32449514 44963258 48674271 64899028 67444887 85815281 89926516 97348542 120610543 129798056 134889774 171630562 179853032 194697084 241221086 257445843 269779548 343261124 361831629 389394168 482442172 514891686 539559096 686522248 723663258 964884344 1029783372 1447326516 2059566744 2894653032 7122668323 10010675069 14245336646 20021350138 21368004969 28490673292 30032025207 40042700276 42736009938 52948028377 56981346584 60064050414 80085400552 85472019876 105896056754 120128100828 158844085131 170944039752 211792113508 240256201656 317688170262 423584227016 635376340524 1270752681048 4394686355291 8789372710582 13184059065873 17578745421164 26368118131746 35157490842328 52736236263492 105472472526984