Search a number
-
+
48444511544484 = 223112241138439787
BaseRepresentation
bin10110000001111010111011…
…11001101110010010100100
320100112020202022012112020020
423000331131321232102210
522322203324423410414
6251011033521235140
713130000104616556
oct1300753571562244
9210466668175206
1048444511544484
1114488224903900
125524a54a92ab0
1321053b4468853
14bd6a2675b4d6
155902461817a9
hex2c0f5de6e4a4

48444511544484 has 72 divisors (see below), whose sum is σ = 124763044463904. Its totient is φ = 14619241401600.

The previous prime is 48444511544479. The next prime is 48444511544503.

48444511544484 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×484445115444842 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68869962 + ... + 69569825.

Almost surely, 248444511544484 is an apocalyptic number.

48444511544484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48444511544484 is an abundant number, since it is smaller than the sum of its proper divisors (76318532919420).

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

48444511544484 is a wasteful number, since it uses less digits than its factorization.

48444511544484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138440057 (or 138440044 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 60.

The spelling of 48444511544484 in words is "forty-eight trillion, four hundred forty-four billion, five hundred eleven million, five hundred forty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 241 242 363 482 484 723 726 964 1446 1452 2651 2892 5302 7953 10604 15906 29161 31812 58322 87483 116644 174966 349932 138439787 276879574 415319361 553759148 830638722 1522837657 1661277444 3045675314 4568512971 6091350628 9137025942 16751214227 18274051884 33363988667 33502428454 50253642681 66727977334 67004856908 100091966001 100507285362 133455954668 200183932002 201014570724 367003875337 400367864004 734007750674 1101011626011 1468015501348 2202023252022 4037042628707 4404046504044 8074085257414 12111127886121 16148170514828 24222255772242 48444511544484