Search a number
-
+
5074126056 = 23322913917483
BaseRepresentation
bin1001011100111000…
…10000010011101000
3111002121212022101200
410232130100103220
540342434013211
62155300044200
7236512234266
oct45634202350
914077768350
105074126056
11217423700a
12b97393660
1362b31346c
14361c79436
151ea6e9b56
hex12e7104e8

5074126056 has 96 divisors (see below), whose sum is σ = 14319396000. Its totient is φ = 1621210752.

The previous prime is 5074126049. The next prime is 5074126061. The reversal of 5074126056 is 6506214705.

It is a happy number.

5074126056 is a `hidden beast` number, since 5 + 0 + 7 + 41 + 2 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5074126056.

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, 281491 + ... + 298973.

It is an arithmetic number, because the mean of its divisors is an integer number (149160375).

Almost surely, 25074126056 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 5074126056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159698000).

5074126056 is an abundant number, since it is smaller than the sum of its proper divisors (9245269944).

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

5074126056 is a wasteful number, since it uses less digits than its factorization.

5074126056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17663 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5074126056 is about 71232.9000953913. The cubic root of 5074126056 is about 1718.3847798476.

The spelling of 5074126056 in words is "five billion, seventy-four million, one hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 139 174 232 261 278 348 417 522 556 696 834 1044 1112 1251 1668 2088 2502 3336 4031 5004 8062 10008 12093 16124 17483 24186 32248 34966 36279 48372 52449 69932 72558 96744 104898 139864 145116 157347 209796 290232 314694 419592 507007 629388 1014014 1258776 1521021 2028028 2430137 3042042 4056056 4563063 4860274 6084084 7290411 9126126 9720548 12168168 14580822 18252252 19441096 21871233 29161644 36504504 43742466 58323288 70473973 87484932 140947946 174969864 211421919 281895892 422843838 563791784 634265757 845687676 1268531514 1691375352 2537063028 5074126056