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72289734461570 = 2573197661760477
BaseRepresentation
bin10000011011111101000011…
…111100011000100010000010
3100110221211102212222021010202
4100123331003330120202002
533433343334010232240
6413425240123325202
721140522003312123
oct2033750374304202
9313854385867122
1072289734461570
11210409a457224a
128136299980802
133144b7b389382
1413bcbadd3204a
1585564dd21315
hex41bf43f18882

72289734461570 has 64 divisors (see below), whose sum is σ = 132774311884896. Its totient is φ = 28332050503680.

The previous prime is 72289734461449. The next prime is 72289734461579. The reversal of 72289734461570 is 7516443798227.

It is a Cunningham number, because it is equal to 85023372+1.

It can be written as a sum of positive squares in 16 ways, for example, as 43159394515561 + 29130339946009 = 6569581^2 + 5397253^2 .

It is a super-3 number, since 3×722897344615703 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72289734461497 and 72289734461506.

It is not an unprimeable number, because it can be changed into a prime (72289734461579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94678172 + ... + 95438648.

It is a 2-persistent number, because it is pandigital, and so is 2⋅72289734461570 = 144579468923140, but 3⋅72289734461570 = 216869203384710 is not.

Almost surely, 272289734461570 is an apocalyptic number.

72289734461570 is a deficient number, since it is larger than the sum of its proper divisors (60484577423326).

72289734461570 is a wasteful number, since it uses less digits than its factorization.

72289734461570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761415.

The product of its (nonzero) digits is 142248960, while the sum is 65.

The spelling of 72289734461570 in words is "seventy-two trillion, two hundred eighty-nine billion, seven hundred thirty-four million, four hundred sixty-one thousand, five hundred seventy".

Divisors: 1 2 5 10 73 146 197 365 394 661 730 985 1322 1970 3305 6610 14381 28762 48253 71905 96506 130217 143810 241265 260434 482530 651085 760477 1302170 1520954 3802385 7604770 9505841 19011682 47529205 55514821 95058410 111029642 149813969 277574105 299627938 502675297 555148210 749069845 1005350594 1498139690 2513376485 5026752970 10936419737 21872839474 36695296681 54682098685 73390593362 99027033509 109364197370 183476483405 198054067018 366952966810 495135167545 990270335090 7228973446157 14457946892314 36144867230785 72289734461570