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16376782848 = 21334116253
BaseRepresentation
bin11110100000010000…
…11110000000000000
31120021022210202200220
433100020132000000
5232014424022343
611305015143040
71116555233406
oct172010360000
946238722626
1016376782848
116a442a3388
123210674a80
13170cb58c6a
14b15011476
1565cb20183
hex3d021e000

16376782848 has 112 divisors (see below), whose sum is σ = 44736599376. Its totient is φ = 5325455360.

The previous prime is 16376782847. The next prime is 16376782867. The reversal of 16376782848 is 84828767361.

It is a happy number.

It is a super-2 number, since 2×163767828482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16376782791 and 16376782800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16376782847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999490 + ... + 1015742.

It is an arithmetic number, because the mean of its divisors is an integer number (399433923).

Almost surely, 216376782848 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 16376782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22368299688).

16376782848 is an abundant number, since it is smaller than the sum of its proper divisors (28359816528).

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

16376782848 is an equidigital number, since it uses as much as digits as its factorization.

16376782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323 (or 16299 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 16376782848 in words is "sixteen billion, three hundred seventy-six million, seven hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 5248 6144 7872 8192 10496 12288 15744 16253 20992 24576 31488 32506 41984 48759 62976 65012 83968 97518 125952 130024 167936 195036 251904 260048 335872 390072 503808 520096 666373 780144 1007616 1040192 1332746 1560288 1999119 2080384 2665492 3120576 3998238 4160768 5330984 6241152 7996476 8321536 10661968 12482304 15992952 16643072 21323936 24964608 31985904 33286144 42647872 49929216 63971808 66572288 85295744 99858432 127943616 133144576 170591488 199716864 255887232 341182976 399433728 511774464 682365952 1023548928 1364731904 2047097856 2729463808 4094195712 5458927616 8188391424 16376782848