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20642055173334 = 232710491301120041
BaseRepresentation
bin1001011000110000110100…
…10111011011010011010110
32201002100202022112201110100
410230120122113123103112
510201144412111021314
6111522455040434530
74230224240654460
oct454303227332326
981070668481410
1020642055173334
11663927900a831
12239469a618a46
13b696caa17b9a
1451511ba0b130
1525be31d4ac09
hex12c61a5db4d6

20642055173334 has 96 divisors (see below), whose sum is σ = 51202138478400. Its totient is φ = 5887529856000.

The previous prime is 20642055173287. The next prime is 20642055173371. The reversal of 20642055173334 is 43337155024602.

It is a happy number.

20642055173334 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 20 + 551 + 73 + 3 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20642055173334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171898354 + ... + 172018394.

It is an arithmetic number, because the mean of its divisors is an integer number (533355609150).

Almost surely, 220642055173334 is an apocalyptic number.

20642055173334 is an abundant number, since it is smaller than the sum of its proper divisors (30560083305066).

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

20642055173334 is a wasteful number, since it uses less digits than its factorization.

20642055173334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122406 (or 122403 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 20642055173334 in words is "twenty trillion, six hundred forty-two billion, fifty-five million, one hundred seventy-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1049 1301 2098 2602 3147 3903 6294 7343 7806 9107 9441 11709 14686 18214 18882 22029 23418 27321 44058 54642 66087 81963 120041 132174 163926 240082 360123 720246 840287 1080369 1364749 1680574 2160738 2520861 2729498 4094247 5041722 7562583 8188494 9553243 12282741 15125166 19106486 24565482 28659729 57319458 85979187 125923009 156173341 171958374 251846018 312346682 377769027 468520023 755538054 881461063 937040046 1093213387 1133307081 1405560069 1762922126 2186426774 2266614162 2644383189 2811120138 3279640161 5288766378 6559280322 7933149567 9838920483 15866299134 19677840966 163825834709 327651669418 491477504127 982955008254 1146780842963 1474432512381 2293561685926 2948865024762 3440342528889 6880685057778 10321027586667 20642055173334