Search a number
-
+
420317484216 = 23376833663089
BaseRepresentation
bin1100001110111001101…
…11111101010010111000
31111011220122111111201020
412013130313331102320
523341302233443331
6521031410222440
742236600444610
oct6073467752270
91434818444636
10420317484216
1115228a297a73
1269563584a20
1330835a26056
14164b46cda40
15ae00478c96
hex61dcdfd4b8

420317484216 has 64 divisors (see below), whose sum is σ = 1202665708800. Its totient is φ = 119914848768.

The previous prime is 420317484199. The next prime is 420317484233. The reversal of 420317484216 is 612484713024.

It is an interprime number because it is at equal distance from previous prime (420317484199) and next prime (420317484233).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716801 + ... + 1946288.

It is an arithmetic number, because the mean of its divisors is an integer number (18791651700).

Almost surely, 2420317484216 is an apocalyptic number.

It is an amenable number.

420317484216 is an abundant number, since it is smaller than the sum of its proper divisors (782348224584).

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

420317484216 is a wasteful number, since it uses less digits than its factorization.

420317484216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663788 (or 3663784 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 420317484216 in words is "four hundred twenty billion, three hundred seventeen million, four hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 683 1366 2049 2732 4098 4781 5464 8196 9562 14343 16392 19124 28686 38248 57372 114744 3663089 7326178 10989267 14652356 21978534 25641623 29304712 43957068 51283246 76924869 87914136 102566492 153849738 205132984 307699476 615398952 2501889787 5003779574 7505669361 10007559148 15011338722 17513228509 20015118296 30022677444 35026457018 52539685527 60045354888 70052914036 105079371054 140105828072 210158742108 420317484216