Search a number
-
+
18103957937740 = 225171947467127681
BaseRepresentation
bin1000001110111001001111…
…11110110101111001001100
32101002201110221211001211001
410013130213332311321030
54333103401213001430
6102300502104310044
73545652645301243
oct407344776657114
971081427731731
1018103957937740
11584a933317584
122044802a72324
13a142715443bc
1446834435395a
15215dd380a3ca
hex107727fb5e4c

18103957937740 has 192 divisors, whose sum is σ = 43367916533760. Its totient is φ = 6305929297920.

The previous prime is 18103957937719. The next prime is 18103957937771. The reversal of 18103957937740 is 4773975930181.

It is a super-2 number, since 2×181039579377402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141726700 + ... + 141854380.

It is an arithmetic number, because the mean of its divisors is an integer number (225874565280).

Almost surely, 218103957937740 is an apocalyptic number.

18103957937740 is a gapful number since it is divisible by the number (10) 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 18103957937740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21683958266880).

18103957937740 is an abundant number, since it is smaller than the sum of its proper divisors (25263958596020).

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

18103957937740 is a wasteful number, since it uses less digits than its factorization.

18103957937740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128240 (or 128238 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 64.

The spelling of 18103957937740 in words is "eighteen trillion, one hundred three billion, nine hundred fifty-seven million, nine hundred thirty-seven thousand, seven hundred forty".