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4251661056 = 2833837411
BaseRepresentation
bin1111110101101011…
…0011001100000000
3101222022020202112000
43331122303030000
532201411123211
61541515504000
7210234344166
oct37532631400
911868222460
104251661056
111891a51975
129a7a58000
13529ac6196
142c4943236
1519d3d6656
hexfd6b3300

4251661056 has 144 divisors (see below), whose sum is σ = 12726107520. Its totient is φ = 1399956480.

The previous prime is 4251661039. The next prime is 4251661079. The reversal of 4251661056 is 6501661524.

4251661056 is a `hidden beast` number, since 4 + 25 + 16 + 610 + 5 + 6 = 666.

4251661056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4251661056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569991 + ... + 577401.

Almost surely, 24251661056 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 4251661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363053760).

4251661056 is an abundant number, since it is smaller than the sum of its proper divisors (8474446464).

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

4251661056 is an equidigital number, since it uses as much as digits as its factorization.

4251661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7519 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4251661056 is about 65204.7625254475. The cubic root of 4251661056 is about 1620.0168996865.

The spelling of 4251661056 in words is "four billion, two hundred fifty-one million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 576 664 747 768 864 996 1152 1328 1494 1728 1992 2241 2304 2656 2988 3456 3984 4482 5312 5976 6912 7411 7968 8964 10624 11952 14822 15936 17928 21248 22233 23904 29644 31872 35856 44466 47808 59288 63744 66699 71712 88932 95616 118576 133398 143424 177864 191232 200097 237152 266796 286848 355728 400194 474304 533592 573696 615113 711456 800388 948608 1067184 1230226 1422912 1600776 1845339 1897216 2134368 2460452 2845824 3201552 3690678 4268736 4920904 5536017 5691648 6403104 7381356 8537472 9841808 11072034 12806208 14762712 16608051 17074944 19683616 22144068 25612416 29525424 33216102 39367232 44288136 51224832 59050848 66432204 78734464 88576272 118101696 132864408 157468928 177152544 236203392 265728816 354305088 472406784 531457632 708610176 1062915264 1417220352 2125830528 4251661056