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2897852526864 = 2432127211172
BaseRepresentation
bin101010001010110101011…
…110000111000100010000
3101021000212022202222212100
4222022311132013010100
5334434300221324424
610055131032400400
7416235326030001
oct52126536070420
911230768688770
102897852526864
11a17a77228299
123a9758b46100
131803601503c9
14a038498d1a8
15505a6c15dc9
hex2a2b5787110

2897852526864 has 135 divisors (see below), whose sum is σ = 8181647725797. Its totient is φ = 957486966912.

The previous prime is 2897852526773. The next prime is 2897852526889. The reversal of 2897852526864 is 4686252587982.

The square root of 2897852526864 is 1702308.

It is a perfect power (a square), and thus also a powerful number.

2897852526864 is a `hidden beast` number, since 2 + 8 + 9 + 78 + 525 + 26 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128264259600 + 2769588267264 = 358140^2 + 1664208^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2897852526792 and 2897852526801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2594316834 + ... + 2594317950.

Almost surely, 22897852526864 is an apocalyptic number.

2897852526864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2897852526864 is the 1702308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2897852526864

2897852526864 is an abundant number, since it is smaller than the sum of its proper divisors (5283795198933).

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

2897852526864 is an equidigital number, since it uses as much as digits as its factorization.

2897852526864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1249 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 2897852526864 in words is "two trillion, eight hundred ninety-seven billion, eight hundred fifty-two million, five hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1117 1143 1524 2032 2234 2286 3048 3351 4468 4572 6096 6702 8936 9144 10053 13404 16129 17872 18288 20106 26808 32258 40212 48387 53616 64516 80424 96774 129032 141859 145161 160848 193548 258064 283718 290322 387096 425577 567436 580644 774192 851154 1134872 1161288 1247689 1276731 1702308 2269744 2322576 2495378 2553462 3404616 3743067 4990756 5106924 6809232 7486134 9981512 10213848 11229201 14972268 18016093 19963024 20427696 22458402 29944536 36032186 44916804 54048279 59889072 72064372 89833608 108096558 144128744 158456503 162144837 179667216 216193116 288257488 316913006 324289674 432386232 475369509 633826012 648579348 864772464 950739018 1267652024 1297158696 1426108527 1901478036 2535304048 2594317392 2852217054 3802956072 5704434108 7605912144 11408868216 20123975881 22817736432 40247951762 60371927643 80495903524 120743855286 160991807048 181115782929 241487710572 321983614096 362231565858 482975421144 724463131716 965950842288 1448926263432 2897852526864