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478866768004 = 22172203532
BaseRepresentation
bin1101111011111101010…
…11110000000010000100
31200210001001022021221101
412331332223300002010
530321204343034004
61003553252425444
746411523240152
oct6757653600204
91623031267841
10478866768004
111750a4896509
1278983618284
1336206a58381
141926a62c3d2
15c6ca669ba4
hex6f7eaf0084

478866768004 has 27 divisors (see below), whose sum is σ = 890255405487. Its totient is φ = 225337995264.

The previous prime is 478866768001. The next prime is 478866768011. The reversal of 478866768004 is 400867668874.

The square root of 478866768004 is 692002.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13087817604 + 465778950400 = 114402^2 + 682480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478866768001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23517892 + ... + 23538244.

Almost surely, 2478866768004 is an apocalyptic number.

478866768004 is the 692002-nd square number.

It is an amenable number.

478866768004 is a deficient number, since it is larger than the sum of its proper divisors (411388637483).

478866768004 is an frugal number, since it uses more digits than its factorization.

478866768004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40744 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 64.

Multiplying 478866768004 by its sum of digits (64), we get a square (30647473152256 = 55360162).

The spelling of 478866768004 in words is "four hundred seventy-eight billion, eight hundred sixty-six million, seven hundred sixty-eight thousand, four".

Divisors: 1 2 4 17 34 68 289 578 1156 20353 40706 81412 346001 692002 1384004 5882017 11764034 23528068 414244609 828489218 1656978436 7042158353 14084316706 28168633412 119716692001 239433384002 478866768004