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485402037264 = 243664512
BaseRepresentation
bin1110001000001000011…
…01110100110000010000
31201101220111120101000000
413010010031310300100
530423100410143024
61010553550130000
750032500145254
oct7040415646020
91641814511000
10485402037264
11177948882a91
127a0a81b0900
1336a089a76c1
14196ca574264
15c95e285cc9
hex7104374c10

485402037264 has 105 divisors (see below), whose sum is σ = 1410273245199. Its totient is φ = 161775597600.

The previous prime is 485402037251. The next prime is 485402037277. The reversal of 485402037264 is 462730204584.

It is a happy number.

The square root of 485402037264 is 696708.

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

485402037264 is a `hidden beast` number, since 48 + 540 + 2 + 0 + 3 + 7 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (485402037251) and next prime (485402037277).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 75241239 + ... + 75247689.

Almost surely, 2485402037264 is an apocalyptic number.

485402037264 is the 696708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485402037264

485402037264 is an abundant number, since it is smaller than the sum of its proper divisors (924871207935).

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

485402037264 is an frugal number, since it uses more digits than its factorization.

485402037264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 485402037264 in words is "four hundred eighty-five billion, four hundred two million, thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6451 11664 12902 19353 25804 38706 51608 58059 77412 103216 116118 154824 174177 232236 309648 348354 464472 522531 696708 928944 1045062 1393416 1567593 2090124 2786832 3135186 4180248 4702779 6270372 8360496 9405558 12540744 18811116 25081488 37622232 41615401 75244464 83230802 124846203 166461604 249692406 332923208 374538609 499384812 665846416 749077218 998769624 1123615827 1498154436 1997539248 2247231654 2996308872 3370847481 4494463308 5992617744 6741694962 8988926616 10112542443 13483389924 17977853232 20225084886 26966779848 30337627329 40450169772 53933559696 60675254658 80900339544 121350509316 161800679088 242701018632 485402037264