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634244104000 = 2653136098501
BaseRepresentation
bin10010011101010111110…
…01001111111101000000
32020122002120011210001101
421032223321033331000
540342412442312000
61203211232144144
763552105634633
oct11165371177500
92218076153041
10634244104000
11224a882977a1
12a2b07098054
1347a693a0b40
14229aa225c1a
1511771388e6a
hex93abe4ff40

634244104000 has 112 divisors (see below), whose sum is σ = 1691529302736. Its totient is φ = 234182400000.

The previous prime is 634244103919. The next prime is 634244104009. The reversal of 634244104000 is 401442436.

It can be written as a sum of positive squares in 8 ways, for example, as 469323645184 + 164920458816 = 685072^2 + 406104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 634244104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634244104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2945251 + ... + 3153250.

It is an arithmetic number, because the mean of its divisors is an integer number (15102940203).

Almost surely, 2634244104000 is an apocalyptic number.

It is an amenable number.

634244104000 is an abundant number, since it is smaller than the sum of its proper divisors (1057285198736).

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

634244104000 is a wasteful number, since it uses less digits than its factorization.

634244104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098541 (or 6098521 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 634244104000 its reverse (401442436), we get a palindrome (634645546436).

The spelling of 634244104000 in words is "six hundred thirty-four billion, two hundred forty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 6098501 12197002 24394004 30492505 48788008 60985010 79280513 97576016 121970020 152462525 158561026 195152032 243940040 304925050 317122052 390304064 396402565 487880080 609850100 634244104 762312625 792805130 975760160 1219700200 1268488208 1524625250 1585610260 1951520320 1982012825 2439400400 2536976416 3049250500 3171220520 3964025650 4878800800 5073952832 6098501000 6342441040 7928051300 9757601600 9910064125 12197002000 12684882080 15856102600 19820128250 24394004000 25369764160 31712205200 39640256500 48788008000 63424410400 79280513000 126848820800 158561026000 317122052000 634244104000