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5630405466 = 237243736101
BaseRepresentation
bin1010011111001100…
…10010101101011010
3112112101121020021210
411033212102231122
543012340433331
62330411043550
7256345441200
oct51746225532
915471536253
105630405466
11242a242a64
1211117405b6
136b9641b8a
143b5ac1070
1522e47d446
hex14f992b5a

5630405466 has 96 divisors (see below), whose sum is σ = 13589788608. Its totient is φ = 1549497600.

The previous prime is 5630405453. The next prime is 5630405479. The reversal of 5630405466 is 6645040365.

It is an interprime number because it is at equal distance from previous prime (5630405453) and next prime (5630405479).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919816 + ... + 925916.

It is an arithmetic number, because the mean of its divisors is an integer number (141560298).

Almost surely, 25630405466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5630405466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794894304).

5630405466 is an abundant number, since it is smaller than the sum of its proper divisors (7959383142).

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

5630405466 is a wasteful number, since it uses less digits than its factorization.

5630405466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 5630405466 is about 75036.0277866573. The cubic root of 5630405466 is about 1779.0161488479.

The spelling of 5630405466 in words is "five billion, six hundred thirty million, four hundred five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 43 49 73 86 98 129 146 147 219 258 294 301 438 511 602 903 1022 1533 1806 2107 3066 3139 3577 4214 6101 6278 6321 7154 9417 10731 12202 12642 18303 18834 21462 21973 36606 42707 43946 65919 85414 128121 131838 153811 256242 262343 298949 307622 445373 461433 524686 597898 787029 890746 896847 922866 1336119 1574058 1793694 1836401 2672238 3117611 3672802 5509203 6235222 9352833 11018406 12854807 18705666 19151039 21823277 25709614 38302078 38564421 43646554 57453117 65469831 77128842 114906234 130939662 134057273 268114546 402171819 804343638 938400911 1876801822 2815202733 5630405466