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5144335616 = 28743101661
BaseRepresentation
bin1001100101010000…
…00101010100000000
3111021111222022210202
410302220011110000
541013422214431
62210244544332
7241324063010
oct46250052400
914244868722
105144335616
1121aa930542
12bb69b20a8
1363ca26494
1436b313c40
152019678cb
hex132a05500

5144335616 has 144 divisors (see below), whose sum is σ = 12145676928. Its totient is φ = 2128896000.

The previous prime is 5144335597. The next prime is 5144335619. The reversal of 5144335616 is 6165334415.

It is a self number, because there is not a number n which added to its sum of digits gives 5144335616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144335619) 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, 7782326 + ... + 7782986.

Almost surely, 25144335616 is an apocalyptic number.

5144335616 is a gapful number since it is divisible by the number (56) 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 5144335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072838464).

5144335616 is an abundant number, since it is smaller than the sum of its proper divisors (7001341312).

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

5144335616 is a wasteful number, since it uses less digits than its factorization.

5144335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 5144335616 is about 71724.0239808113. The cubic root of 5144335616 is about 1726.2741399054.

The spelling of 5144335616 in words is "five billion, one hundred forty-four million, three hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 101 112 128 172 202 224 256 301 344 404 448 602 661 688 707 808 896 1204 1322 1376 1414 1616 1792 2408 2644 2752 2828 3232 4343 4627 4816 5288 5504 5656 6464 8686 9254 9632 10576 11008 11312 12928 17372 18508 19264 21152 22624 25856 28423 30401 34744 37016 38528 42304 45248 56846 60802 66761 69488 74032 77056 84608 90496 113692 121604 133522 138976 148064 169216 180992 198961 227384 243208 267044 277952 296128 397922 454768 467327 486416 534088 555904 592256 795844 909536 934654 972832 1068176 1111808 1184512 1591688 1819072 1869308 1945664 2136352 2870723 3183376 3638144 3738616 3891328 4272704 5741446 6366752 7276288 7477232 7782656 8545408 11482892 12733504 14954464 17090816 20095061 22965784 25467008 29908928 40190122 45931568 50934016 59817856 80380244 91863136 119635712 160760488 183726272 321520976 367452544 643041952 734905088 1286083904 2572167808 5144335616