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842444951104 = 2631237012
BaseRepresentation
bin11000100001001011010…
…00011100111001000000
32222112111102210122212201
430100211220130321000
5102300311401413404
61443002555002544
7114602366635111
oct14204550347100
92875442718781
10842444951104
112a5308237789
12117331139454
1361599725b63
142cabb534208
1516da977dca4
hexc425a1ce40

842444951104 has 63 divisors (see below), whose sum is σ = 1727859800433. Its totient is φ = 407524512000.

The previous prime is 842444951087. The next prime is 842444951191. The reversal of 842444951104 is 401159444248.

The square root of 842444951104 is 917848.

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

It can be written as a sum of positive squares in only one way, i.e., 339366832704 + 503078118400 = 582552^2 + 709280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227624454 + ... + 227628154.

Almost surely, 2842444951104 is an apocalyptic number.

842444951104 is the 917848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842444951104

842444951104 is an abundant number, since it is smaller than the sum of its proper divisors (885414849329).

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

842444951104 is an frugal number, since it uses more digits than its factorization.

842444951104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 842444951104 in words is "eight hundred forty-two billion, four hundred forty-four million, nine hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3701 3844 7402 7688 14804 15376 29608 30752 59216 61504 114731 118432 229462 236864 458924 917848 1835696 3556661 3671392 7113322 7342784 13697401 14226644 27394802 28453288 54789604 56906576 109579208 113813152 219158416 227626304 424619431 438316832 849238862 876633664 1698477724 3396955448 6793910896 13163202361 13587821792 26326404722 27175643584 52652809444 105305618888 210611237776 421222475552 842444951104