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16412612608 = 21175321601
BaseRepresentation
bin11110100100100010…
…01001100000000000
31120100211020002220001
433102101021200000
5232103112100413
611312335125344
71120501622350
oct172221114000
946324202801
1016412612608
116a62545857
123220673854
1317173c25c2
14b19a9ab60
15660d4b4dd
hex3d2449800

16412612608 has 96 divisors (see below), whose sum is σ = 38214802080. Its totient is φ = 6900940800.

The previous prime is 16412612599. The next prime is 16412612609. The reversal of 16412612608 is 80621621461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412612609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749008 + ... + 770608.

It is an arithmetic number, because the mean of its divisors is an integer number (398070855).

Almost surely, 216412612608 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 16412612608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107401040).

16412612608 is an abundant number, since it is smaller than the sum of its proper divisors (21802189472).

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

16412612608 is an equidigital number, since it uses as much as digits as its factorization.

16412612608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21663 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 16412612608 in words is "sixteen billion, four hundred twelve million, six hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2048 2968 3392 3584 5936 6784 7168 11872 13568 14336 21601 23744 27136 43202 47488 54272 86404 94976 108544 151207 172808 189952 302414 345616 379904 604828 691232 759808 1144853 1209656 1382464 2289706 2419312 2764928 4579412 4838624 5529856 8013971 9158824 9677248 11059712 16027942 18317648 19354496 22119424 32055884 36635296 38708992 44238848 64111768 73270592 77417984 128223536 146541184 154835968 256447072 293082368 309671936 512894144 586164736 1025788288 1172329472 2051576576 2344658944 4103153152 8206306304 16412612608