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2266088772752 = 24724175239371
BaseRepresentation
bin100000111110011101011…
…010101001010010010000
322000122011121211001012122
4200332131122221102100
5244111422211212002
64453005442513412
7322501535516600
oct40763532512220
98018147731178
102266088772752
117a4052043142
12307224665868
131358ca8bb92c
147b971d40c00
153de2d4c56a2
hex20f9d6a9490

2266088772752 has 120 divisors (see below), whose sum is σ = 5233194866592. Its totient is φ = 947266521600.

The previous prime is 2266088772751. The next prime is 2266088772839. The reversal of 2266088772752 is 2572778806622.

It is not an unprimeable number, because it can be changed into a prime (2266088772751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241814627 + ... + 241823997.

Almost surely, 22266088772752 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 2266088772752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616597433296).

2266088772752 is an abundant number, since it is smaller than the sum of its proper divisors (2967106093840).

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

2266088772752 is a wasteful number, since it uses less digits than its factorization.

2266088772752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 62.

The spelling of 2266088772752 in words is "two trillion, two hundred sixty-six billion, eighty-eight million, seven hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 4018 4592 7523 8036 9371 15046 16072 18742 30092 32144 37484 52661 60184 65597 74968 105322 120368 131194 149936 210644 262388 308443 368627 384211 421288 459179 524776 616886 737254 768422 842576 918358 1049552 1233772 1474508 1536844 1836716 2159101 2467544 2689477 2949016 3073688 3673432 4318202 4935088 5378954 5898032 6147376 7346864 8636404 10757908 15113707 17272808 18826339 21515816 30227414 34545616 37652678 43031632 60454828 70498033 75305356 120909656 140996066 150610712 241819312 281992132 301221424 493486231 563984264 986972462 1127968528 1973944924 2890419353 3454403617 3947889848 5780838706 6908807234 7895779696 11561677412 13817614468 20232935471 23123354824 27635228936 40465870942 46246709648 55270457872 80931741884 141630548297 161863483768 283261096594 323726967536 566522193188 1133044386376 2266088772752