Search a number
-
+
804170098446 = 23111317197279863
BaseRepresentation
bin10111011001111000100…
…01011110011100001110
32211212200222220200122020
423230330101132130032
5101133420021122241
61413233004031010
7112046041024311
oct13547421363416
92755628820566
10804170098446
11290057068450
1210ba2ab32466
135aaa9bb6150
142acca116978
1515db9466b66
hexbb3c45e70e

804170098446 has 128 divisors (see below), whose sum is σ = 2010829556736. Its totient is φ = 210635335680.

The previous prime is 804170098411. The next prime is 804170098451. The reversal of 804170098446 is 644890071408.

It is a super-2 number, since 2×8041700984462 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2733511 + ... + 3013373.

It is an arithmetic number, because the mean of its divisors is an integer number (15709605912).

Almost surely, 2804170098446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804170098446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005414778368).

804170098446 is an abundant number, since it is smaller than the sum of its proper divisors (1206659458290).

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

804170098446 is a wasteful number, since it uses less digits than its factorization.

804170098446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280106.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 804170098446 in words is "eight hundred four billion, one hundred seventy million, ninety-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 197 221 286 374 394 429 442 561 591 663 858 1122 1182 1326 2167 2431 2561 3349 4334 4862 5122 6501 6698 7293 7683 10047 13002 14586 15366 20094 28171 36839 43537 56342 73678 84513 87074 110517 130611 169026 221034 261222 279863 478907 559726 839589 957814 1436721 1679178 2873442 3078493 3638219 4757671 6156986 7276438 9235479 9515342 10914657 14273013 18470958 21829314 28546026 40020409 52334381 55133011 61849723 80040818 104668762 110266022 120061227 123699446 157003143 165399033 185549169 240122454 314006286 330798066 371098338 606463121 680346953 716729143 937261187 1212926242 1360693906 1433458286 1819389363 1874522374 2041040859 2150187429 2811783561 3638778726 4082081718 4300374858 5623567122 7884020573 10309873057 12184395431 15768041146 20619746114 23652061719 24368790862 30929619171 36553186293 47304123438 61859238342 73106372586 134028349741 268056699482 402085049223 804170098446