Search a number
-
+
464526740011576 = 2311232691657514903
BaseRepresentation
bin110100110011111000000111…
…1010100111011101000111000
32020220202022201012121101020211
41221213300033110323220320
5441341301230420332301
64323544345514000504
7166562643442204144
oct15147601724735070
92226668635541224
10464526740011576
11125015758605290
1244124489416134
1316c278b6bc4398
14829d2dd9ca224
1538a86170eb051
hex1a67c0f53ba38

464526740011576 has 128 divisors (see below), whose sum is σ = 995768314444800. Its totient is φ = 201095511598080.

The previous prime is 464526740011559. The next prime is 464526740011597. The reversal of 464526740011576 is 675110047625464.

It is a happy number.

It is a super-2 number, since 2×4645267400115762 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464526740011576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901906141 + ... + 902421043.

It is an arithmetic number, because the mean of its divisors is an integer number (7779439956600).

Almost surely, 2464526740011576 is an apocalyptic number.

464526740011576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464526740011576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497884157222400).

464526740011576 is an abundant number, since it is smaller than the sum of its proper divisors (531241574433224).

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

464526740011576 is a wasteful number, since it uses less digits than its factorization.

464526740011576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516869 (or 516865 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 464526740011576 in words is "four hundred sixty-four trillion, five hundred twenty-six billion, seven hundred forty million, eleven thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 269 506 538 1012 1076 1657 2024 2152 2959 3314 5918 6187 6628 11836 12374 13256 18227 23672 24748 36454 38111 49496 68057 72908 76222 136114 145816 152444 272228 304888 419221 445733 514903 544456 838442 891466 1029806 1676884 1782932 2059612 3353768 3565864 4119224 4903063 5663933 9806126 10251859 11327866 11842769 19612252 20503718 22655732 23685538 39224504 41007436 45311464 47371076 82014872 94742152 112770449 130270459 138508907 225540898 260540918 277017814 451081796 521081836 554035628 853194271 902163592 1042163672 1108071256 1523597977 1706388542 3047195954 3185704861 3412777084 6094391908 6371409722 6825554168 9385136981 12188783816 12742819444 18770273962 19623468233 25485638888 35042753471 37540547924 39246936466 70085506942 75081095848 78493872932 140171013884 156987745864 215858150563 229509258899 280342027768 431716301126 459018517798 863432602252 918037035596 1726865204504 1836074071192 2524601847889 5049203695778 5278712954677 10098407391556 10557425909354 20196814783112 21114851818708 42229703637416 58065842501447 116131685002894 232263370005788 464526740011576