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49363906000 = 2453211311681
BaseRepresentation
bin101101111110010100…
…010110110111010000
311201102020220020200211
4231332110112313100
51302044124443000
634402155453504
73365166164203
oct557624266720
9151366806624
1049363906000
1119a31702232
129697a57294
134869047446
14256406d93a
15143dae77ba
hexb7e516dd0

49363906000 has 80 divisors (see below), whose sum is σ = 119428637328. Its totient is φ = 19734528000.

The previous prime is 49363905979. The next prime is 49363906013. The reversal of 49363906000 is 60936394.

It can be written as a sum of positive squares in 8 ways, for example, as 34013687184 + 15350218816 = 184428^2 + 123896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220160 + ... + 4231840.

Almost surely, 249363906000 is an apocalyptic number.

49363906000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49363906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714318664).

49363906000 is an abundant number, since it is smaller than the sum of its proper divisors (70064731328).

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

49363906000 is a wasteful number, since it uses less digits than its factorization.

49363906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 49363906000 in words is "forty-nine billion, three hundred sixty-three million, nine hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2113 4226 8452 10565 11681 16904 21130 23362 33808 42260 46724 52825 58405 84520 93448 105650 116810 169040 186896 211300 233620 264125 292025 422600 467240 528250 584050 845200 934480 1056500 1168100 1460125 2113000 2336200 2920250 4226000 4672400 5840500 11681000 23362000 24681953 49363906 98727812 123409765 197455624 246819530 394911248 493639060 617048825 987278120 1234097650 1974556240 2468195300 3085244125 4936390600 6170488250 9872781200 12340976500 24681953000 49363906000