Search a number
-
+
74115548144 = 24112393794649
BaseRepresentation
bin100010100000110100…
…0011000001111110000
321002022020110221120122
41011001220120033300
52203242040020034
654014225225412
75232436523201
oct1050150301760
9232266427518
1074115548144
1129483327330
1212445192268
136cb1c94841
1438314475a8
151ddbaac62e
hex1141a183f0

74115548144 has 80 divisors (see below), whose sum is σ = 157757760000. Its totient is φ = 33452213760.

The previous prime is 74115548141. The next prime is 74115548149. The reversal of 74115548144 is 44184551147.

It is a happy number.

It is a super-2 number, since 2×741155481442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 74115548095 and 74115548104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74115548141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939932 + ... + 15944580.

It is an arithmetic number, because the mean of its divisors is an integer number (1971972000).

Almost surely, 274115548144 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 74115548144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878880000).

74115548144 is an abundant number, since it is smaller than the sum of its proper divisors (83642211856).

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

74115548144 is a wasteful number, since it uses less digits than its factorization.

74115548144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5280 counting only the distinct ones).

The product of its digits is 358400, while the sum is 44.

It can be divided in two parts, 7411 and 5548144, that added together give a palindrome (5555555).

The spelling of 74115548144 in words is "seventy-four billion, one hundred fifteen million, five hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 379 478 758 956 1516 1912 2629 3032 3824 4169 4649 5258 6064 8338 9298 10516 16676 18596 21032 33352 37192 42064 51139 66704 74384 90581 102278 181162 204556 362324 409112 724648 818224 996391 1111111 1449296 1761971 1992782 2222222 3523942 3985564 4444444 7047884 7971128 8888888 12222221 14095768 15942256 17777776 19381681 24444442 28191536 38763362 48888884 77526724 97777768 155053448 195555536 310106896 421111069 842222138 1684444276 3368888552 4632221759 6737777104 9264443518 18528887036 37057774072 74115548144