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2126416058024 = 232329597195131
BaseRepresentation
bin11110111100011000010…
…001100001011010101000
321112021122120221222110012
4132330120101201122220
5234314400002324044
64304510111511052
7306425400161006
oct36743021413250
97467576858405
102126416058024
1174a89847a2a5
122a4144528488
1312569ba8bb7b
1474cc1d89a76
153a4a63a259e
hex1ef184616a8

2126416058024 has 128 divisors (see below), whose sum is σ = 4438478592000. Its totient is φ = 951665299200.

The previous prime is 2126416058017. The next prime is 2126416058033. The reversal of 2126416058024 is 4208506146212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22304939 + ... + 22400069.

It is an arithmetic number, because the mean of its divisors is an integer number (34675614000).

Almost surely, 22126416058024 is an apocalyptic number.

It is an amenable number.

2126416058024 is an abundant number, since it is smaller than the sum of its proper divisors (2312062533976).

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

2126416058024 is a wasteful number, since it uses less digits than its factorization.

2126416058024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95319 (or 95315 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 2126416058024 in words is "two trillion, one hundred twenty-six billion, four hundred sixteen million, fifty-eight thousand, twenty-four".

Divisors: 1 2 4 8 23 29 46 58 59 71 92 116 118 142 184 232 236 284 472 568 667 1334 1357 1633 1711 2059 2668 2714 3266 3422 4118 4189 5336 5428 6532 6844 8236 8378 10856 13064 13688 16472 16756 33512 39353 47357 78706 94714 95131 96347 121481 157412 189428 190262 192694 242962 314824 378856 380524 385388 485924 761048 770776 971848 2188013 2758799 2794063 4376026 5517598 5588126 5612729 6754301 8752052 11035196 11176252 11225458 13508602 17504104 22070392 22352504 22450916 27017204 44901832 54034408 63452377 126904754 129092767 155348923 162769141 195874729 253809508 258185534 310697846 325538282 391749458 398503759 507619016 516371068 621395692 651076564 783498916 797007518 1032742136 1242791384 1302153128 1566997832 1594015036 3188030072 3743690243 4505118767 7487380486 9010237534 9165586457 11556609011 14974760972 18020475068 18331172914 23113218022 29949521944 36040950136 36662345828 46226436044 73324691656 92452872088 265802007253 531604014506 1063208029012 2126416058024