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169293383712 = 25321750967933
BaseRepresentation
bin1001110110101010101…
…1000000100000100000
3121011222100100221210200
42131222223000200200
510233203101234322
6205434452425200
715142151006235
oct2355253004040
9534870327720
10169293383712
1165884779972
1228988018200
1312c6c73c33b
14829dc9978c
15460c7bc8ac
hex276aac0820

169293383712 has 144 divisors (see below), whose sum is σ = 510756344280. Its totient is φ = 53006524416.

The previous prime is 169293383687. The next prime is 169293383713. The reversal of 169293383712 is 217383392961.

169293383712 is a `hidden beast` number, since 169 + 2 + 93 + 383 + 7 + 12 = 666.

169293383712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 164190281616 + 5103102096 = 405204^2 + 71436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (169293383713) 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, 2458098 + ... + 2526030.

Almost surely, 2169293383712 is an apocalyptic number.

169293383712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169293383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255378172140).

169293383712 is an abundant number, since it is smaller than the sum of its proper divisors (341462960568).

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

169293383712 is a wasteful number, since it uses less digits than its factorization.

169293383712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68475 (or 68464 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 169293383712 in words is "one hundred sixty-nine billion, two hundred ninety-three million, three hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 509 544 612 816 1018 1224 1527 1632 2036 2448 3054 4072 4581 4896 6108 8144 8653 9162 12216 16288 17306 18324 24432 25959 34612 36648 48864 51918 67933 69224 73296 77877 103836 135866 138448 146592 155754 203799 207672 271732 276896 311508 407598 415344 543464 611397 623016 815196 830688 1086928 1154861 1222794 1246032 1630392 2173856 2309722 2445588 2492064 3260784 3464583 4619444 4891176 6521568 6929166 9238888 9782352 10393749 13858332 18477776 19564704 20787498 27716664 34577897 36955552 41574996 55433328 69155794 83149992 103733691 110866656 138311588 166299984 207467382 276623176 311201073 332599968 414934764 553246352 587824249 622402146 829869528 1106492704 1175648498 1244804292 1659739056 1763472747 2351296996 2489608584 3319478112 3526945494 4702593992 4979217168 5290418241 7053890988 9405187984 9958434336 10580836482 14107781976 18810375968 21161672964 28215563952 42323345928 56431127904 84646691856 169293383712