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4412012416 = 27710347807
BaseRepresentation
bin1000001101111100…
…11111011110000000
3102101110222110020021
410012332133132000
533013433344131
62005444423224
7214222325650
oct40676373600
912343873207
104412012416
111964514259
12a316a7b14
135540aa846
142dbd64360
151ac50ce11
hex106f9f780

4412012416 has 64 divisors (see below), whose sum is σ = 10142945280. Its totient is φ = 1872465408.

The previous prime is 4412012413. The next prime is 4412012441. The reversal of 4412012416 is 6142102144.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412012413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68385 + ... + 116191.

It is an arithmetic number, because the mean of its divisors is an integer number (158483520).

Almost surely, 24412012416 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 4412012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071472640).

4412012416 is an abundant number, since it is smaller than the sum of its proper divisors (5730932864).

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

4412012416 is a wasteful number, since it uses less digits than its factorization.

4412012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47931 (or 47919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4412012416 is about 66422.9810833570. The cubic root of 4412012416 is about 1640.1324025565.

The spelling of 4412012416 in words is "four billion, four hundred twelve million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 824 896 1442 1648 2884 3296 5768 6592 11536 13184 23072 46144 47807 92288 95614 191228 334649 382456 669298 764912 1338596 1529824 2677192 3059648 4924121 5354384 6119296 9848242 10708768 19696484 21417536 34468847 39392968 42835072 68937694 78785936 137875388 157571872 275750776 315143744 551501552 630287488 1103003104 2206006208 4412012416