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2075948225160 = 2335177313940023
BaseRepresentation
bin11110001101011000001…
…010000001001010001000
321100110101101211102210020
4132031120022001022020
5233003020221201120
64225402155020440
7302660634524025
oct36153012011210
97313341742706
102075948225160
1173044a720517
122963baa3a720
131209b811a584
147269547854c
15390008ea640
hex1e358281288

2075948225160 has 128 divisors (see below), whose sum is σ = 6684520308480. Its totient is φ = 513884971008.

The previous prime is 2075948225129. The next prime is 2075948225179. The reversal of 2075948225160 is 615228495702.

It is a super-2 number, since 2×20759482251602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6821092 + ... + 7118931.

It is an arithmetic number, because the mean of its divisors is an integer number (52222814910).

Almost surely, 22075948225160 is an apocalyptic number.

2075948225160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2075948225160 is an abundant number, since it is smaller than the sum of its proper divisors (4608572083320).

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

2075948225160 is a wasteful number, since it uses less digits than its factorization.

2075948225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940127 (or 13940123 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 2075948225160 in words is "two trillion, seventy-five billion, nine hundred forty-eight million, two hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 170 204 219 255 292 340 365 408 438 510 584 680 730 876 1020 1095 1241 1460 1752 2040 2190 2482 2920 3723 4380 4964 6205 7446 8760 9928 12410 14892 18615 24820 29784 37230 49640 74460 148920 13940023 27880046 41820069 55760092 69700115 83640138 111520184 139400230 167280276 209100345 236980391 278800460 334560552 418200690 473960782 557600920 710941173 836401380 947921564 1017621679 1184901955 1421882346 1672802760 1895843128 2035243358 2369803910 2843764692 3052865037 3554705865 4070486716 4739607820 5088108395 5687529384 6105730074 7109411730 8140973432 9479215640 10176216790 12211460148 14218823460 15264325185 17299568543 20352433580 24422920296 28437646920 30528650370 34599137086 40704867160 51898705629 61057300740 69198274172 86497842715 103797411258 122114601480 138396548344 172995685430 207594822516 259493528145 345991370860 415189645032 518987056290 691982741720 1037974112580 2075948225160