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4291074072 = 23321072931901
BaseRepresentation
bin1111111111000100…
…1001100000011000
3102002001102011000100
43333301021200120
532242003332242
61545444335400
7211223346015
oct37761114030
912061364010
104291074072
11190222150a
129b90a4560
135350157ac
142c9c8270c
151a1abe54c
hexffc49818

4291074072 has 96 divisors (see below), whose sum is σ = 11776499280. Its totient is φ = 1411411200.

The previous prime is 4291074043. The next prime is 4291074089. The reversal of 4291074072 is 2704701924.

4291074072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42910740722 = 36826633382781322368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256322 + ... + 2258222.

Almost surely, 24291074072 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 4291074072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888249640).

4291074072 is an abundant number, since it is smaller than the sum of its proper divisors (7485425208).

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

4291074072 is a wasteful number, since it uses less digits than its factorization.

4291074072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4291074072 is about 65506.2903239071. The cubic root of 4291074072 is about 1625.0073778916.

Adding to 4291074072 its reverse (2704701924), we get a palindrome (6995775996).

The spelling of 4291074072 in words is "four billion, two hundred ninety-one million, seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 293 321 428 586 642 856 879 963 1172 1284 1758 1901 1926 2344 2568 2637 3516 3802 3852 5274 5703 7032 7604 7704 10548 11406 15208 17109 21096 22812 31351 34218 45624 62702 68436 94053 125404 136872 188106 203407 250808 282159 376212 406814 556993 564318 610221 752424 813628 1113986 1128636 1220442 1627256 1670979 1830663 2227972 2257272 2440884 3341958 3661326 4455944 4881768 5012937 6683916 7322652 10025874 13367832 14645304 20051748 40103496 59598251 119196502 178794753 238393004 357589506 476786008 536384259 715179012 1072768518 1430358024 2145537036 4291074072