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470214661284 = 223223249692
BaseRepresentation
bin1101101011110101111…
…10100101010010100100
31122221201001211201210100
412311322332211102210
530200444423130114
61000002540024100
745654233450214
oct6657276452244
91587631751710
10470214661284
11171464a10695
1277169b32030
13354583a43b4
1418a894d6244
15c370cac909
hex6d7afa54a4

470214661284 has 81 divisors (see below), whose sum is σ = 1242773335713. Its totient is φ = 149893343424.

The previous prime is 470214661277. The next prime is 470214661297. The reversal of 470214661284 is 482166412074.

The square root of 470214661284 is 685722.

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

470214661284 is a `hidden beast` number, since 4 + 7 + 0 + 21 + 4 + 6 + 612 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94788862884 + 375425798400 = 307878^2 + 612720^2 .

It is a super-2 number, since 2×4702146612842 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94627152 + ... + 94632120.

Almost surely, 2470214661284 is an apocalyptic number.

470214661284 is the 685722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470214661284

470214661284 is an abundant number, since it is smaller than the sum of its proper divisors (772558674429).

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

470214661284 is an equidigital number, since it uses as much as digits as its factorization.

470214661284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 470214661284 in words is "four hundred seventy billion, two hundred fourteen million, six hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 4969 6348 9522 9938 14907 19044 19876 29814 44721 59628 89442 114287 178884 228574 342861 457148 685722 1028583 1371444 2057166 2628601 4114332 5257202 7885803 10514404 15771606 23657409 24690961 31543212 47314818 49381922 74072883 94629636 98763844 148145766 222218649 296291532 444437298 567892103 888874596 1135784206 1703676309 2271568412 3407352618 5111028927 6814705236 10222057854 13061518369 20444115708 26123036738 39184555107 52246073476 78369110214 117553665321 156738220428 235107330642 470214661284