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5342205456 = 243277517057
BaseRepresentation
bin1001111100110101…
…11001011000010000
3111210022022011012100
410332122321120100
541420101033311
62242034000400
7246245666010
oct47632713020
914708264170
105342205456
1122a1599035
121051116100
13671a16023
143896ddc40
15214000a56
hex13e6b9610

5342205456 has 120 divisors (see below), whose sum is σ = 17111753984. Its totient is φ = 1524096000.

The previous prime is 5342205397. The next prime is 5342205493. The reversal of 5342205456 is 6545022435.

5342205456 is a `hidden beast` number, since 53 + 42 + 20 + 545 + 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 5342205456.

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, 753480 + ... + 760536.

Almost surely, 25342205456 is an apocalyptic number.

5342205456 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 5342205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555876992).

5342205456 is an abundant number, since it is smaller than the sum of its proper divisors (11769548528).

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

5342205456 is a wasteful number, since it uses less digits than its factorization.

5342205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5342205456 is about 73090.3923645235. The cubic root of 5342205456 is about 1748.1292068840.

The spelling of 5342205456 in words is "five billion, three hundred forty-two million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 751 1008 1502 2253 3004 4506 5257 6008 6759 7057 9012 10514 12016 13518 14114 15771 18024 21028 21171 27036 28228 31542 36048 42056 42342 47313 49399 54072 56456 63084 63513 84112 84684 94626 98798 108144 112912 126168 127026 148197 169368 189252 197596 252336 254052 296394 338736 378504 395192 444591 508104 592788 757008 790384 889182 1016208 1185576 1778364 2371152 3556728 5299807 7113456 10599614 15899421 21199228 31798842 37098649 42398456 47698263 63597684 74197298 84796912 95396526 111295947 127195368 148394596 190793052 222591894 254390736 296789192 333887841 381586104 445183788 593578384 667775682 763172208 890367576 1335551364 1780735152 2671102728 5342205456