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535334155052144 = 24717369253761437
BaseRepresentation
bin111100110111000100011001…
…0001001011110010001110000
32121012110110000201001222110012
41321232020302021132101300
51030131403322143132034
65134321040555554052
7220521421261365260
oct17156106211362160
92535413021058405
10535334155052144
11145634a384378a8
125005b41945b928
1319c92a42b59c06
14962a4504d17a0
1541d540ad82cce
hex1e6e23225e470

535334155052144 has 80 divisors (see below), whose sum is σ = 1255116217652928. Its totient is φ = 215932236189696.

The previous prime is 535334155052141. The next prime is 535334155052153. The reversal of 535334155052144 is 441250551433535.

It is a junction number, because it is equal to n+sod(n) for n = 535334155052092 and 535334155052101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535334155052141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702676994 + ... + 703438430.

Almost surely, 2535334155052144 is an apocalyptic number.

It is an amenable number.

535334155052144 is an abundant number, since it is smaller than the sum of its proper divisors (719782062600784).

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

535334155052144 is a wasteful number, since it uses less digits than its factorization.

535334155052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130722 (or 1130716 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 50.

The spelling of 535334155052144 in words is "five hundred thirty-five trillion, three hundred thirty-four billion, one hundred fifty-five million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 369253 738506 761437 1477012 1522874 2584771 2954024 3045748 5169542 5330059 5908048 6091496 6277301 10339084 10660118 12182992 12554602 12944429 20678168 21320236 25109204 25888858 41356336 42640472 43941107 50218408 51777716 85280944 87882214 90611003 100436816 103555432 175764428 181222006 207110864 351528856 362444012 703057712 724888024 1449776048 281162896561 562325793122 1124651586244 1968140275927 2249303172488 3936280551854 4498606344976 4779769241537 7872561103708 9559538483074 15745122207416 19119076966148 31490244414832 33458384690759 38238153932296 66916769381518 76476307864592 133833538763036 267667077526072 535334155052144