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468203536516 = 2235929532
BaseRepresentation
bin1101101000000110001…
…10110000000010000100
31122202111220120000020211
412310003012300002010
530132340101132031
6555031214405204
745553343252542
oct6640306600204
91582456500224
10468203536516
11170622765901
12768a8500804
13351c7833541
1418938382d92
15c2a444dbb1
hex6d031b0084

468203536516 has 27 divisors (see below), whose sum is σ = 822507946981. Its totient is φ = 233204711264.

The previous prime is 468203536513. The next prime is 468203536519. The reversal of 468203536516 is 615635302864.

The square root of 468203536516 is 684254.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (468203536513) and next prime (468203536519).

It can be written as a sum of positive squares in only one way, i.e., 194984064900 + 273219471616 = 441570^2 + 522704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468203536516.

It is not an unprimeable number, because it can be changed into a prime (468203536513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 491293896 + ... + 491294848.

Almost surely, 2468203536516 is an apocalyptic number.

468203536516 is the 684254-th square number.

It is an amenable number.

468203536516 is a deficient number, since it is larger than the sum of its proper divisors (354304410465).

468203536516 is an frugal number, since it uses more digits than its factorization.

468203536516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 468203536516 by its sum of digits (49), we get a square (22941973289284 = 47897782).

The spelling of 468203536516 in words is "four hundred sixty-eight billion, two hundred three million, five hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 4 359 718 953 1436 1906 3812 128881 257762 342127 515524 684254 908209 1368508 1816418 3632836 122823593 245647186 326047031 491294372 652094062 1304188124 117050884129 234101768258 468203536516