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5111200144 = 241731797673
BaseRepresentation
bin1001100001010011…
…01011100110010000
3111012012121212111001
410300221223212100
540431431401034
62203102431344
7240442325101
oct46051534620
914165555431
105111200144
112193159356
12ba7892554
13635bc42ab
14366b6a3a8
151edabea14
hex130a6b990

5111200144 has 80 divisors (see below), whose sum is σ = 10962155520. Its totient is φ = 2297917440.

The previous prime is 5111200141. The next prime is 5111200147. The reversal of 5111200144 is 4410021115.

It is an interprime number because it is at equal distance from previous prime (5111200141) and next prime (5111200147).

It is a super-2 number, since 2×51112001442 = 52248733824051241472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5111200141) 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, 662292 + ... + 669964.

It is an arithmetic number, because the mean of its divisors is an integer number (137026944).

Almost surely, 25111200144 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 5111200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481077760).

5111200144 is an abundant number, since it is smaller than the sum of its proper divisors (5850955376).

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

5111200144 is a wasteful number, since it uses less digits than its factorization.

5111200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 5111200144 is about 71492.6579726898. The cubic root of 5111200144 is about 1722.5597527024.

Adding to 5111200144 its reverse (4410021115), we get a palindrome (9521221259).

The spelling of 5111200144 in words is "five billion, one hundred eleven million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 79 124 136 158 248 272 316 496 527 632 1054 1264 1343 2108 2449 2686 4216 4898 5372 7673 8432 9796 10744 15346 19592 21488 30692 39184 41633 61384 83266 122768 130441 166532 237863 260882 333064 475726 521764 606167 666128 951452 1043528 1212334 1902904 2087056 2424668 3805808 4043671 4849336 8087342 9698672 10304839 16174684 18791177 20609678 32349368 37582354 41219356 64698736 75164708 82438712 150329416 164877424 300658832 319450009 638900018 1277800036 2555600072 5111200144