Search a number
-
+
81413862712 = 23713199727773
BaseRepresentation
bin100101111010010100…
…1001111010100111000
321210010212112202000121
41023310221033110320
52313213422101322
6101222341343024
75611340262220
oct1136451172470
9253125482017
1081413862712
1131589004066
1213941407a74
1378a6028380
143d24859080
1521b76a0ec7
hex12f4a4f538

81413862712 has 128 divisors (see below), whose sum is σ = 189326592000. Its totient is φ = 31960355328.

The previous prime is 81413862697. The next prime is 81413862743. The reversal of 81413862712 is 21726831418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105321558 + ... + 105322330.

It is an arithmetic number, because the mean of its divisors is an integer number (1479114000).

Almost surely, 281413862712 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 81413862712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94663296000).

81413862712 is an abundant number, since it is smaller than the sum of its proper divisors (107912729288).

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

81413862712 is a wasteful number, since it uses less digits than its factorization.

81413862712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1721 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The spelling of 81413862712 in words is "eighty-one billion, four hundred thirteen million, eight hundred sixty-two thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 199 364 398 727 728 773 796 1393 1454 1546 1592 2587 2786 2908 3092 5089 5174 5411 5572 5816 6184 9451 10049 10178 10348 10822 11144 18109 18902 20098 20356 20696 21644 36218 37804 40196 40712 43288 66157 70343 72436 75608 80392 132314 140686 144673 144872 153827 264628 281372 289346 307654 529256 561971 562744 578692 615308 1012711 1076789 1123942 1157384 1230616 1880749 1999751 2025422 2153578 2247884 3761498 3933797 3999502 4050844 4307156 4495768 7305623 7522996 7867594 7999004 8101688 8614312 13165243 13998257 14611246 15045992 15735188 15998008 26330486 27996514 29222492 31470376 51139361 52660972 55993028 58444984 102278722 105321944 111832229 111986056 204557444 223664458 409114888 447328916 782825603 894657832 1453818977 1565651206 2907637954 3131302412 5815275908 6262604824 10176732839 11630551816 20353465678 40706931356 81413862712