Search a number
-
+
1073739415896 = 233272937324811
BaseRepresentation
bin11111001111111111101…
…10110100000101011000
310210122111202010212121200
433213333312310011120
5120043004242302041
62141134042034200
7140401156305600
oct17477766640530
93718452125550
101073739415896
113844089a9524
121541211a8960
137a33a357804
1439d7d93dc00
151cde52c71b6
hexf9ffdb4158

1073739415896 has 144 divisors (see below), whose sum is σ = 3386447686440. Its totient is φ = 306454337280.

The previous prime is 1073739415849. The next prime is 1073739415897. The reversal of 1073739415896 is 6985149373701.

1073739415896 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 3 + 9 + 41 + 589 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073739415897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3143331 + ... + 3468141.

Almost surely, 21073739415896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073739415896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693223843220).

1073739415896 is an abundant number, since it is smaller than the sum of its proper divisors (2312708270544).

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

1073739415896 is a wasteful number, since it uses less digits than its factorization.

1073739415896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325774 (or 325760 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 1073739415896 in words is "one trillion, seventy-three billion, seven hundred thirty-nine million, four hundred fifteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 937 1176 1764 1874 2811 3528 3748 5622 6559 7496 8433 11244 13118 16866 19677 22488 26236 33732 39354 45913 52472 59031 67464 78708 91826 118062 137739 157416 183652 236124 275478 324811 367304 413217 472248 550956 649622 826434 974433 1101912 1299244 1652868 1948866 2273677 2598488 2923299 3305736 3897732 4547354 5846598 6821031 7795464 9094708 11693196 13642062 15915739 18189416 20463093 23386392 27284124 31831478 40926186 47747217 54568248 63662956 81852372 95494434 127325912 143241651 163704744 190988868 286483302 304347907 381977736 572966604 608695814 913043721 1145933208 1217391628 1826087442 2130435349 2434783256 2739131163 3652174884 4260870698 5478262326 6391306047 7304349768 8521741396 10956524652 12782612094 14913047443 17043482792 19173918141 21913049304 25565224188 29826094886 38347836282 44739142329 51130448376 59652189772 76695672564 89478284658 119304379544 134217426987 153391345128 178956569316 268434853974 357913138632 536869707948 1073739415896