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2861368848 = 2433131373719
BaseRepresentation
bin1010101010001101…
…0000011000010000
321101102011121011000
42222203100120100
521330002300343
61151533022000
7130623143142
oct25243203020
97342147130
102861368848
111239193848
1267a324900
13367a66280
141d203ac92
1511b30ced3
hexaa8d0610

2861368848 has 160 divisors (see below), whose sum is σ = 8911929600. Its totient is φ = 873759744.

The previous prime is 2861368847. The next prime is 2861368877. The reversal of 2861368848 is 8488631682.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2861368794 and 2861368803.

It is not an unprimeable number, because it can be changed into a prime (2861368847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767533 + ... + 771251.

It is an arithmetic number, because the mean of its divisors is an integer number (55699560).

Almost surely, 22861368848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2861368848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455964800).

2861368848 is an abundant number, since it is smaller than the sum of its proper divisors (6050560752).

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

2861368848 is a wasteful number, since it uses less digits than its factorization.

2861368848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3874 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2861368848 is about 53491.7643006846. The cubic root of 2861368848 is about 1419.6826719339.

It can be divided in two parts, 28613 and 68848, that added together give a triangular number (97461 = T441).

The spelling of 2861368848 in words is "two billion, eight hundred sixty-one million, three hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 137 144 156 208 216 234 274 312 351 411 432 468 548 624 702 822 936 1096 1233 1404 1644 1781 1872 2192 2466 2808 3288 3562 3699 3719 4932 5343 5616 6576 7124 7398 7438 9864 10686 11157 14248 14796 14876 16029 19728 21372 22314 28496 29592 29752 32058 33471 42744 44628 48087 48347 59184 59504 64116 66942 85488 89256 96174 96694 100413 128232 133884 145041 178512 192348 193388 200826 256464 267768 290082 384696 386776 401652 435123 509503 535536 580164 769392 773552 803304 870246 1019006 1160328 1305369 1528509 1606608 1740492 2038012 2320656 2610738 3057018 3480984 4076024 4585527 5221476 6114036 6623539 6961968 8152048 9171054 10442952 12228072 13247078 13756581 18342108 19870617 20885904 24456144 26494156 27513162 36684216 39741234 52988312 55026324 59611851 73368432 79482468 105976624 110052648 119223702 158964936 178835553 220105296 238447404 317929872 357671106 476894808 715342212 953789616 1430684424 2861368848