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1681203957696 = 26341731874603
BaseRepresentation
bin11000011101101111100…
…100001000111111000000
312221201110222211221110000
4120131233210020333000
5210021101203121241
63324200123240000
7232314541566264
oct30355744107700
95851428757400
101681203957696
11598aa389482a
122319b3979000
13c26c9609853
145b5293060a4
152daea620eb6
hex1876f908fc0

1681203957696 has 140 divisors (see below), whose sum is σ = 5012424902232. Its totient is φ = 557161708032.

The previous prime is 1681203957619. The next prime is 1681203957703. The reversal of 1681203957696 is 6967593021861.

1681203957696 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 20 + 39 + 576 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40470 + ... + 1834133.

Almost surely, 21681203957696 is an apocalyptic number.

1681203957696 is a gapful number since it is divisible by the number (16) 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 1681203957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506212451116).

1681203957696 is an abundant number, since it is smaller than the sum of its proper divisors (3331220944536).

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

1681203957696 is a wasteful number, since it uses less digits than its factorization.

1681203957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874800 (or 1874781 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1681203957696 in words is "one trillion, six hundred eighty-one billion, two hundred three million, nine hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 288 324 346 432 519 576 648 692 864 1038 1296 1384 1557 1728 2076 2592 2768 3114 4152 4671 5184 5536 6228 8304 9342 11072 12456 14013 16608 18684 24912 28026 33216 37368 49824 56052 74736 99648 112104 149472 224208 298944 448416 896832 1874603 3749206 5623809 7498412 11247618 14996824 16871427 22495236 29993648 33742854 44990472 50614281 59987296 67485708 89980944 101228562 119974592 134971416 151842843 179961888 202457124 269942832 303685686 324306319 359923776 404914248 539885664 607371372 648612638 809828496 972918957 1079771328 1214742744 1297225276 1619656992 1945837914 2429485488 2594450552 2918756871 3239313984 3891675828 4858970976 5188901104 5837513742 7783351656 8756270613 9717941952 10377802208 11675027484 15566703312 17512541226 20755604416 23350054968 26268811839 31133406624 35025082452 46700109936 52537623678 62266813248 70050164904 93400219872 105075247356 140100329808 186800439744 210150494712 280200659616 420300989424 560401319232 840601978848 1681203957696