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5654040416 = 254389137337
BaseRepresentation
bin1010100010000000…
…11100111101100000
3112121001002000100022
411101000130331200
543034413243131
62333013413012
7260053356563
oct52100347540
915531060308
105654040416
112441616282
12111963a168
136c14c895b
143b8cb44da
1523159b37b
hex15101cf60

5654040416 has 96 divisors (see below), whose sum is σ = 11636745120. Its totient is φ = 2702278656.

The previous prime is 5654040397. The next prime is 5654040433. The reversal of 5654040416 is 6140404565.

It is a super-2 number, since 2×56540404162 = 63936346051522906112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16777400 + ... + 16777736.

It is an arithmetic number, because the mean of its divisors is an integer number (121216095).

Almost surely, 25654040416 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 5654040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818372560).

5654040416 is an abundant number, since it is smaller than the sum of its proper divisors (5982704704).

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

5654040416 is a wasteful number, since it uses less digits than its factorization.

5654040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5654040416 is about 75193.3535360673. The cubic root of 5654040416 is about 1781.5019532782.

The spelling of 5654040416 in words is "five billion, six hundred fifty-four million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 86 89 137 172 178 274 337 344 356 548 674 688 712 1096 1348 1376 1424 2192 2696 2848 3827 4384 5392 5891 7654 10784 11782 12193 14491 15308 23564 24386 28982 29993 30616 46169 47128 48772 57964 59986 61232 92338 94256 97544 115928 119972 122464 184676 188512 195088 231856 239944 369352 390176 463712 479888 524299 738704 959776 1048598 1289699 1477408 1985267 2097196 2579398 3970534 4109041 4194392 5158796 7941068 8218082 8388784 10317592 15882136 16436164 16777568 20635184 31764272 32872328 41270368 63528544 65744656 131489312 176688763 353377526 706755052 1413510104 2827020208 5654040416