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2557770663120 = 243541811320513
BaseRepresentation
bin100101001110000111000…
…000110000010011010000
3100001112001102202022200020
4211032013000300103100
5313401303242204440
65235005034023440
7352535640625611
oct45160700602320
910045042668606
102557770663120
118a6820949572
12353868277b80
1315727330877a
148bb2244dc08
154680079e3d0
hex253870304d0

2557770663120 has 160 divisors (see below), whose sum is σ = 8132522235264. Its totient is φ = 664613683200.

The previous prime is 2557770663103. The next prime is 2557770663137. The reversal of 2557770663120 is 213660777552.

It is an interprime number because it is at equal distance from previous prime (2557770663103) and next prime (2557770663137).

It is a congruent number.

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, 7819984 + ... + 8140496.

Almost surely, 22557770663120 is an apocalyptic number.

2557770663120 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 2557770663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066261117632).

2557770663120 is an abundant number, since it is smaller than the sum of its proper divisors (5574751572144).

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

2557770663120 is a wasteful number, since it uses less digits than its factorization.

2557770663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321381 (or 321375 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 2557770663120 in words is "two trillion, five hundred fifty-seven billion, seven hundred seventy million, six hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 811 820 984 1230 1622 1640 1968 2433 2460 3244 3280 4055 4866 4920 6488 8110 9732 9840 12165 12976 16220 19464 24330 32440 33251 38928 48660 64880 66502 97320 99753 133004 166255 194640 199506 266008 320513 332510 399012 498765 532016 641026 665020 798024 961539 997530 1282052 1330040 1596048 1602565 1923078 1995060 2564104 2660080 3205130 3846156 3990120 4807695 5128208 6410260 7692312 7980240 9615390 12820520 13141033 15384624 19230780 25641040 26282066 38461560 39423099 52564132 65705165 76923120 78846198 105128264 131410330 157692396 197115495 210256528 259936043 262820660 315384792 394230990 519872086 525641320 630769584 779808129 788461980 1039744172 1051282640 1299680215 1559616258 1576923960 2079488344 2599360430 3119232516 3153847920 3899040645 4158976688 5198720860 6238465032 7798081290 10397441720 10657377763 12476930064 15596162580 20794883440 21314755526 31192325160 31972133289 42629511052 53286888815 62384650320 63944266578 85259022104 106573777630 127888533156 159860666445 170518044208 213147555260 255777066312 319721332890 426295110520 511554132624 639442665780 852590221040 1278885331560 2557770663120