Search a number
-
+
4207622016 = 273131635171
BaseRepresentation
bin1111101011001011…
…0011011110000000
3101212020101100022110
43322302303132000
532104122401031
61533303535320
7206161124403
oct37262633600
911766340273
104207622016
11186a102774
1299515a540
13520947090
142bcb5bd3a
151995d7c46
hexfacb3780

4207622016 has 128 divisors (see below), whose sum is σ = 12112410240. Its totient is φ = 1286461440.

The previous prime is 4207622011. The next prime is 4207622021. The reversal of 4207622016 is 6102267024.

It is an interprime number because it is at equal distance from previous prime (4207622011) and next prime (4207622021).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207622011) 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 15 ways as a sum of consecutive naturals, for example, 811111 + ... + 816281.

It is an arithmetic number, because the mean of its divisors is an integer number (94628205).

Almost surely, 24207622016 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 4207622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056205120).

4207622016 is an abundant number, since it is smaller than the sum of its proper divisors (7904788224).

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

4207622016 is a wasteful number, since it uses less digits than its factorization.

4207622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4207622016 is about 64866.1854589893. The cubic root of 4207622016 is about 1614.4040545461.

The spelling of 4207622016 in words is "four billion, two hundred seven million, six hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 163 192 208 312 326 384 416 489 624 652 832 978 1248 1304 1664 1956 2119 2496 2608 3912 4238 4992 5171 5216 6357 7824 8476 10342 10432 12714 15513 15648 16952 20684 20864 25428 31026 31296 33904 41368 50856 62052 62592 67223 67808 82736 101712 124104 134446 135616 165472 201669 203424 248208 268892 271232 330944 403338 406848 496416 537784 661888 806676 813696 842873 992832 1075568 1613352 1685746 1985664 2151136 2528619 3226704 3371492 4302272 5057238 6453408 6742984 8604544 10114476 10957349 12906816 13485968 20228952 21914698 25813632 26971936 32872047 40457904 43829396 53943872 65744094 80915808 87658792 107887744 131488188 161831616 175317584 262976376 323663232 350635168 525952752 701270336 1051905504 1402540672 2103811008 4207622016