Search a number
-
+
81404835625536 = 263599151785287
BaseRepresentation
bin10010100000100110001010…
…010011110111101001000000
3101200020020002221221001021220
4102200212022103313221000
541132214100410004121
6445044510515315040
723101206466656123
oct2240461223675100
9350206087831256
1081404835625536
1123a35662544475
1291689768aba80
13365659b535077
14161602d4b43ba
159627d73816c6
hex4a098a4f7a40

81404835625536 has 112 divisors (see below), whose sum is σ = 219058412052480. Its totient is φ = 26672081932800.

The previous prime is 81404835625507. The next prime is 81404835625541. The reversal of 81404835625536 is 63552653840418.

It is a self number, because there is not a number n which added to its sum of digits gives 81404835625536.

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 15 ways as a sum of consecutive naturals, for example, 103269885 + ... + 104055171.

It is an arithmetic number, because the mean of its divisors is an integer number (1955878679040).

Almost surely, 281404835625536 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 81404835625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109529206026240).

81404835625536 is an abundant number, since it is smaller than the sum of its proper divisors (137653576426944).

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

81404835625536 is a wasteful number, since it uses less digits than its factorization.

81404835625536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794512 (or 794502 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 81404835625536 in words is "eighty-one trillion, four hundred four billion, eight hundred thirty-five million, six hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 9151 11328 18302 27453 36604 54906 73208 109812 146416 219624 292832 439248 539909 585664 785287 878496 1079818 1570574 1619727 1756992 2159636 2355861 3141148 3239454 4319272 4711722 6282296 6478908 8638544 9423444 12564592 12957816 17277088 18846888 25129184 25915632 34554176 37693776 46331933 50258368 51831264 75387552 92663866 103662528 138995799 150775104 185327732 277991598 370655464 555983196 741310928 1111966392 1482621856 2223932784 2965243712 4447865568 7186161337 8895731136 14372322674 21558484011 28744645348 43116968022 57489290696 86233936044 114978581392 172467872088 229957162784 344935744176 423983518883 459914325568 689871488352 847967037766 1271950556649 1379742976704 1695934075532 2543901113298 3391868151064 5087802226596 6783736302128 10175604453192 13567472604256 20351208906384 27134945208512 40702417812768 81404835625536