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463302002152 = 231167711106747
BaseRepresentation
bin1101011110111101111…
…00111000010111101000
31122021212022110021011001
412233132330320113220
530042320303032102
6552501001444344
745321025020103
oct6573674702750
91567768407131
10463302002152
111695379a1560
127595aaa06b4
13348c61cbc52
14185d13d373a
15c0b8e97487
hex6bdef385e8

463302002152 has 64 divisors (see below), whose sum is σ = 975354877440. Its totient is φ = 204526660800.

The previous prime is 463302002083. The next prime is 463302002159. The reversal of 463302002152 is 251200203364.

It is a super-2 number, since 2×4633020021522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463302002152.

It is not an unprimeable number, because it can be changed into a prime (463302002159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134758 + ... + 971989.

It is an arithmetic number, because the mean of its divisors is an integer number (15239919960).

Almost surely, 2463302002152 is an apocalyptic number.

It is an amenable number.

463302002152 is an abundant number, since it is smaller than the sum of its proper divisors (512052875288).

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

463302002152 is a wasteful number, since it uses less digits than its factorization.

463302002152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106902 (or 1106898 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 463302002152 in words is "four hundred sixty-three billion, three hundred two million, two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 67 71 88 134 142 268 284 536 568 737 781 1474 1562 2948 3124 4757 5896 6248 9514 19028 38056 52327 104654 209308 418616 1106747 2213494 4426988 8853976 12174217 24348434 48696868 74152049 78579037 97393736 148304098 157158074 296608196 314316148 593216392 628632296 815672539 864369407 1631345078 1728738814 3262690156 3457477628 5264795479 6525380312 6914955256 10529590958 21059181916 42118363832 57912750269 115825500538 231651001076 463302002152