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809350834512 = 2431121051132589
BaseRepresentation
bin10111100011100010001…
…00011010100101010000
32212101002001101100110210
423301301010122211100
5101230022303201022
61415451033124120
7112321316404143
oct13616104324520
92771061340423
10809350834512
112922754a0100
12110a35b59640
135b42431594c
142b25c1c405a
15160be1bea0c
hexbc7111a950

809350834512 has 120 divisors (see below), whose sum is σ = 2300381342560. Its totient is φ = 245022624000.

The previous prime is 809350834511. The next prime is 809350834529. The reversal of 809350834512 is 215438053908.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809350834511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6037914 + ... + 6170502.

Almost surely, 2809350834512 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 809350834512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150190671280).

809350834512 is an abundant number, since it is smaller than the sum of its proper divisors (1491030508048).

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

809350834512 is a wasteful number, since it uses less digits than its factorization.

809350834512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133673 (or 133656 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 809350834512 in words is "eight hundred nine billion, three hundred fifty million, eight hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1051 1452 1936 2102 2904 3153 4204 5808 6306 8408 11561 12612 16816 23122 25224 34683 46244 50448 69366 92488 127171 132589 138732 184976 254342 265178 277464 381513 397767 508684 530356 554928 763026 795534 1017368 1060712 1458479 1526052 1591068 2034736 2121424 2916958 3052104 3182136 4375437 5833916 6104208 6364272 8750874 11667832 16043269 17501748 23335664 32086538 35003496 48129807 64173076 70006992 96259614 128346152 139351039 192519228 256692304 278702078 385038456 418053117 557404156 770076912 836106234 1114808312 1532861429 1672212468 2229616624 3065722858 3344424936 4598584287 6131445716 6688849872 9197168574 12262891432 16861475719 18394337148 24525782864 33722951438 36788674296 50584427157 67445902876 73577348592 101168854314 134891805752 202337708628 269783611504 404675417256 809350834512