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1612216144 = 247112814657
BaseRepresentation
bin110000000011000…
…0111011101010000
311011100200001210001
41200012013131100
511300211404034
6423551215344
754644416420
oct14006073520
94140601701
101612216144
11758065940
1238bb17554
131c9022266
14114194480
1596813a14
hex60187750

1612216144 has 80 divisors (see below), whose sum is σ = 3909142656. Its totient is φ = 625766400.

The previous prime is 1612216129. The next prime is 1612216147. The reversal of 1612216144 is 4416122161.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612216147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343864 + ... + 348520.

Almost surely, 21612216144 is an apocalyptic number.

1612216144 is a gapful number since it is divisible by the number (14) 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 1612216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954571328).

1612216144 is an abundant number, since it is smaller than the sum of its proper divisors (2296926512).

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

1612216144 is a wasteful number, since it uses less digits than its factorization.

1612216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4958 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 1612216144 is about 40152.4114344332. The cubic root of 1612216144 is about 1172.5762366494.

The spelling of 1612216144 in words is "one billion, six hundred twelve million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 281 308 562 616 1124 1232 1967 2248 3091 3934 4496 4657 6182 7868 9314 12364 15736 18628 21637 24728 31472 32599 37256 43274 49456 51227 65198 74512 86548 102454 130396 173096 204908 260792 346192 358589 409816 521584 717178 819632 1308617 1434356 2617234 2868712 5234468 5737424 9160319 10468936 14394787 18320638 20937872 28789574 36641276 57579148 73282552 100763509 115158296 146565104 201527018 230316592 403054036 806108072 1612216144