Search a number
-
+
456503020869 = 37231413924203
BaseRepresentation
bin1101010010010011011…
…00110100110101000101
31121122022110222020012110
412221021230310311011
524434404233131434
6545414204011233
744660366440200
oct6511154646505
91548273866173
10456503020869
11166669066265
1274581b30b19
1334081748bbc
1418148442937
15bd1c1394e9
hex6a49b34d45

456503020869 has 48 divisors (see below), whose sum is σ = 731092469760. Its totient is φ = 252372647520.

The previous prime is 456503020849. The next prime is 456503020927. The reversal of 456503020869 is 968020305654.

It is not a de Polignac number, because 456503020869 - 211 = 456503018821 is a prime.

It is a super-2 number, since 2×4565030208692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456503020849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18849322 + ... + 18873524.

It is an arithmetic number, because the mean of its divisors is an integer number (15231093120).

Almost surely, 2456503020869 is an apocalyptic number.

456503020869 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

456503020869 is a deficient number, since it is larger than the sum of its proper divisors (274589448891).

456503020869 is a wasteful number, since it uses less digits than its factorization.

456503020869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28390 (or 28383 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 456503020869 in words is "four hundred fifty-six billion, five hundred three million, twenty thousand, eight hundred sixty-nine".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4139 4557 12417 24203 28973 72609 86919 128309 169421 202811 384927 508263 608433 750293 898163 1185947 2250879 2694489 3557841 5252051 6287141 15756153 18861423 36764357 100176217 110293071 300528651 701233519 2103700557 3105462727 4908634633 9316388181 14725903899 21738239089 65214717267 152167673623 456503020869