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4964460921 = 34731723457
BaseRepresentation
bin1001001111110011…
…11010100101111001
3110210222111202010000
410213321322211321
540131400222141
62140341343213
7234011136000
oct44771724571
913728452100
104964460921
112118343a72
12b66707b09
13611697654
1435148dc37
151e0c865b6
hex127e7a979

4964460921 has 160 divisors (see below), whose sum is σ = 9576230400. Its totient is φ = 2548288512.

The previous prime is 4964460889. The next prime is 4964460953. The reversal of 4964460921 is 1290644694.

4964460921 is a `hidden beast` number, since 49 + 64 + 460 + 92 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4964460889) and next prime (4964460953).

It is not a de Polignac number, because 4964460921 - 25 = 4964460889 is a prime.

It is a super-2 number, since 2×49644609212 = 49291744472272336482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4964460971) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10862925 + ... + 10863381.

It is an arithmetic number, because the mean of its divisors is an integer number (59851440).

Almost surely, 24964460921 is an apocalyptic number.

It is an amenable number.

4964460921 is a deficient number, since it is larger than the sum of its proper divisors (4611769479).

4964460921 is a wasteful number, since it uses less digits than its factorization.

4964460921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4964460921 is about 70458.9307398289. The cubic root of 4964460921 is about 1705.9149117115.

The spelling of 4964460921 in words is "four billion, nine hundred sixty-four million, four hundred sixty thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 17 21 23 27 49 51 63 69 81 119 147 153 161 189 207 343 357 391 441 457 459 483 567 621 833 1029 1071 1127 1173 1323 1371 1377 1449 1863 2499 2737 3087 3199 3213 3381 3519 3969 4113 4347 5831 7497 7769 7889 8211 9261 9597 9639 10143 10511 10557 12339 13041 17493 19159 22393 22491 23307 23667 24633 27783 28791 30429 31533 31671 37017 52479 54383 57477 67179 67473 69921 71001 73577 73899 86373 91287 94599 134113 156751 157437 163149 172431 178687 201537 209763 213003 220731 221697 259119 283797 380681 402339 470253 472311 489447 515039 517293 536061 604611 629289 639009 662193 851391 1142043 1207017 1250809 1410759 1468341 1545117 1551879 1608183 1813833 1986579 2664767 3426129 3605273 3621051 3752427 4232277 4405023 4635351 4824549 5959737 7994301 8755663 10278387 10815819 10863153 11257281 12696831 13906053 14473647 23982903 26266989 30835161 32447457 33771843 41718159 61289641 71948709 78800967 97342371 101315529 183868923 215846127 236402901 292027113 551606769 709208703 1654820307 4964460921