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2274952851248 = 2471119394724623
BaseRepresentation
bin100001000110101101110…
…000011010111100110000
322001111001101010212222012
4201012231300122330300
5244233100412214443
64501033210502052
7323234311115210
oct41065560327460
98044041125865
102274952851248
117a7890638550
12308a99134928
131366b115c0ac
147c173294240
153e29b7a4118
hex211adc1af30

2274952851248 has 160 divisors (see below), whose sum is σ = 5786269655040. Its totient is φ = 839448679680.

The previous prime is 2274952851239. The next prime is 2274952851253. The reversal of 2274952851248 is 8421582594722.

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, 92379065 + ... + 92403687.

It is an arithmetic number, because the mean of its divisors is an integer number (36164185344).

Almost surely, 22274952851248 is an apocalyptic number.

2274952851248 is a gapful number since it is divisible by the number (28) 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 2274952851248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893134827520).

2274952851248 is an abundant number, since it is smaller than the sum of its proper divisors (3511316803792).

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

2274952851248 is a wasteful number, since it uses less digits than its factorization.

2274952851248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28609 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 59.

The spelling of 2274952851248 in words is "two trillion, two hundred seventy-four billion, nine hundred fifty-two million, eight hundred fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 3947 5852 7894 11704 15788 23408 24623 27629 31576 43417 49246 55258 63152 74993 86834 98492 110516 149986 172361 173668 196984 221032 270853 299972 303919 344722 347336 393968 442064 467837 524951 541706 599944 607838 689444 694672 824923 935674 1049902 1083412 1199888 1215676 1378888 1649846 1871348 1895971 2099804 2166824 2431352 2757776 3274859 3299692 3742696 3791942 4199608 4333648 4862704 5146207 5774461 6549718 6599384 7485392 7583884 8399216 10292414 11548922 13099436 13198768 15167768 20584828 23097844 26198872 30335536 36023449 41169656 46195688 52397744 72046898 82339312 92391376 97186981 144093796 194373962 288187592 388747924 576375184 680308867 777495848 1069056791 1360617734 1554991696 1846552639 2138113582 2721235468 3693105278 4276227164 5442470936 7386210556 7483397537 8552454328 10884941872 12925868473 14772421112 14966795074 17104908656 20312079029 25851736946 29544842224 29933590148 40624158058 51703473892 59867180296 81248316116 103406947784 119734360592 142184553203 162496632232 206813895568 284369106406 324993264464 568738212812 1137476425624 2274952851248