Search a number
-
+
85503211728 = 24311334748383
BaseRepresentation
bin100111110100001100…
…0110111100011010000
322011200212101012021120
41033220120313203100
52400102310233403
6103140222322240
76114564210444
oct1175030674320
9264625335246
1085503211728
1133297374550
12146a2a29380
1380a830160c
1441d19ca824
1523566c4e53
hex13e86378d0

85503211728 has 80 divisors (see below), whose sum is σ = 241040572416. Its totient is φ = 25901787520.

The previous prime is 85503211727. The next prime is 85503211733. The reversal of 85503211728 is 82711230558.

It is a super-3 number, since 3×855032117283 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85503211728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85503211721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743025 + ... + 1791407.

Almost surely, 285503211728 is an apocalyptic number.

85503211728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85503211728 is an abundant number, since it is smaller than the sum of its proper divisors (155537360688).

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

85503211728 is a wasteful number, since it uses less digits than its factorization.

85503211728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51752 (or 51746 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 85503211728 in words is "eighty-five billion, five hundred three million, two hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3347 6694 10041 13388 20082 26776 36817 40164 48383 53552 73634 80328 96766 110451 145149 147268 160656 193532 220902 290298 294536 387064 441804 532213 580596 589072 774128 883608 1064426 1161192 1596639 1767216 2128852 2322384 3193278 4257704 6386556 8515408 12773112 25546224 161937901 323875802 485813703 647751604 971627406 1295503208 1781316911 1943254812 2591006416 3562633822 3886509624 5343950733 7125267644 7773019248 10687901466 14250535288 21375802932 28501070576 42751605864 85503211728