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5055212430 = 234529307701
BaseRepresentation
bin1001011010101000…
…00110101110001110
3111001022021101210000
410231110012232032
540323113244210
62153342425130
7236162411442
oct45524065616
914038241700
105055212430
112164598a14
12b90b921a6
13627420678
1435d554822
151e8c10ac0
hex12d506b8e

5055212430 has 160 divisors (see below), whose sum is σ = 14127553440. Its totient is φ = 1295481600.

The previous prime is 5055212419. The next prime is 5055212473. The reversal of 5055212430 is 342125505.

It is a happy number.

5055212430 is a `hidden beast` number, since 505 + 5 + 2 + 124 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5055212394 and 5055212403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7211080 + ... + 7211780.

It is an arithmetic number, because the mean of its divisors is an integer number (88297209).

Almost surely, 25055212430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5055212430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063776720).

5055212430 is an abundant number, since it is smaller than the sum of its proper divisors (9072341010).

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

5055212430 is a wasteful number, since it uses less digits than its factorization.

5055212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5055212430 is about 71100.0170886055. The cubic root of 5055212430 is about 1716.2470486408.

Adding to 5055212430 its reverse (342125505), we get a palindrome (5397337935).

The spelling of 5055212430 in words is "five billion, fifty-five million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 307 405 435 522 614 701 783 810 870 921 1305 1402 1535 1566 1842 2103 2349 2610 2763 3070 3505 3915 4206 4605 4698 5526 6309 7010 7830 8289 8903 9210 10515 11745 12618 13815 16578 17806 18927 20329 21030 23490 24867 26709 27630 31545 37854 40658 41445 44515 49734 53418 56781 60987 63090 80127 82890 89030 94635 101645 113562 121974 124335 133545 160254 182961 189270 203290 215207 240381 248670 267090 283905 304935 365922 400635 430414 480762 548883 567810 609870 645621 721143 801270 914805 1076035 1097766 1201905 1291242 1442286 1646649 1829610 1936863 2152070 2403810 2744415 3228105 3293298 3605715 3873726 5488830 5810589 6241003 6456210 7211430 8233245 9684315 11621178 12482006 16466490 17431767 18723009 19368630 29052945 31205015 34863534 37446018 56169027 58105890 62410030 87158835 93615045 112338054 168507081 174317670 187230090 280845135 337014162 505521243 561690270 842535405 1011042486 1685070810 2527606215 5055212430