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85538747140 = 225711180130841
BaseRepresentation
bin100111110101010000…
…0011011001100000100
322011210100020120200221
41033222200123030010
52400140404402030
6103143532114124
76115505232310
oct1175240331404
9264710216627
1085538747140
1133305435860
12146b2905944
1380b2793ca2
1441d65dab40
152359893e7a
hex13ea81b304

85538747140 has 96 divisors (see below), whose sum is σ = 224087609088. Its totient is φ = 26645760000.

The previous prime is 85538747093. The next prime is 85538747143. The reversal of 85538747140 is 4174783558.

It is not an unprimeable number, because it can be changed into a prime (85538747143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2758120 + ... + 2788960.

It is an arithmetic number, because the mean of its divisors is an integer number (2334245928).

Almost surely, 285538747140 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 85538747140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112043804544).

85538747140 is an abundant number, since it is smaller than the sum of its proper divisors (138548861948).

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

85538747140 is a wasteful number, since it uses less digits than its factorization.

85538747140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32669 (or 32667 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 85538747140 in words is "eighty-five billion, five hundred thirty-eight million, seven hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1801 3602 7204 9005 12607 18010 19811 25214 30841 36020 39622 50428 61682 63035 79244 99055 123364 126070 138677 154205 198110 215887 252140 277354 308410 339251 396220 431774 554708 616820 678502 693385 863548 1079435 1357004 1386770 1696255 2158870 2374757 2773540 3392510 4317740 4749514 6785020 9499028 11873785 23747570 47495140 55544641 111089282 222178564 277723205 388812487 555446410 610991051 777624974 1110892820 1221982102 1555249948 1944062435 2443964204 3054955255 3888124870 4276937357 6109910510 7776249740 8553874714 12219821020 17107749428 21384686785 42769373570 85538747140