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2266370951120 = 24523127276367
BaseRepresentation
bin100000111110101110001…
…111000100011111010000
322000122220021210012011022
4200332232033010133100
5244113011430413440
64453053442535012
7322511533142213
oct40765617043720
98018807705138
102266370951120
117a4187354a01
123072a3067468
131359441b9993
147b99b5d577a
153de48163cb5
hex20fae3c47d0

2266370951120 has 120 divisors (see below), whose sum is σ = 5542121067264. Its totient is φ = 860294147328.

The previous prime is 2266370951107. The next prime is 2266370951161. The reversal of 2266370951120 is 211590736622.

2266370951120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29639177 + ... + 29715543.

Almost surely, 22266370951120 is an apocalyptic number.

2266370951120 is a gapful number since it is divisible by the number (20) 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 2266370951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771060533632).

2266370951120 is an abundant number, since it is smaller than the sum of its proper divisors (3275750116144).

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

2266370951120 is a wasteful number, since it uses less digits than its factorization.

2266370951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76657 (or 76524 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 2266370951120 in words is "two trillion, two hundred sixty-six billion, three hundred seventy million, nine hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 127 184 230 254 368 460 508 635 920 1016 1270 1840 2032 2540 2921 5080 5842 10160 11684 14605 16129 23368 29210 32258 46736 58420 64516 76367 80645 116840 129032 152734 161290 233680 258064 305468 322580 370967 381835 610936 645160 741934 763670 1221872 1290320 1483868 1527340 1756441 1854835 2967736 3054680 3512882 3709670 5935472 6109360 7025764 7419340 8782205 9698609 14051528 14838680 17564410 19397218 28103056 29677360 35128820 38794436 48493045 70257640 77588872 96986090 140515280 155177744 193972180 223068007 387944360 446136014 775888720 892272028 1115340035 1231723343 1784544056 2230680070 2463446686 3569088112 4461360140 4926893372 6158616715 8922720280 9853786744 12317233430 17845440560 19707573488 24634466860 28329636889 49268933720 56659273778 98537867440 113318547556 141648184445 226637095112 283296368890 453274190224 566592737780 1133185475560 2266370951120