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49824198000 = 2432532768011
BaseRepresentation
bin101110011001110000…
…001110110101110000
311202121100000111121200
4232121300032311300
51304014443314000
634520001251200
73412455460323
oct563160166560
9152540014550
1049824198000
111a148508445
1297a6033b00
134910508885
1425a924a7ba
15146921a500
hexb99c0ed70

49824198000 has 120 divisors (see below), whose sum is σ = 174019378416. Its totient is φ = 13286448000.

The previous prime is 49824197999. The next prime is 49824198007. The reversal of 49824198000 is 89142894.

49824198000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49824198007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366006 + ... + 1402005.

Almost surely, 249824198000 is an apocalyptic number.

49824198000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49824198000 is an abundant number, since it is smaller than the sum of its proper divisors (124195180416).

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

49824198000 is a wasteful number, since it uses less digits than its factorization.

49824198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768040 (or 2768021 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 49824198000 in words is "forty-nine billion, eight hundred twenty-four million, one hundred ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 2768011 5536022 8304033 11072044 13840055 16608066 22144088 24912099 27680110 33216132 41520165 44288176 49824198 55360220 66432264 69200275 83040330 99648396 110720440 124560495 132864528 138400550 166080660 199296792 207600825 221440880 249120990 276801100 332161320 346001375 398593584 415201650 498241980 553602200 622802475 664322640 692002750 830403300 996483960 1038004125 1107204400 1245604950 1384005500 1660806600 1992967920 2076008250 2491209900 2768011000 3114012375 3321613200 4152016500 4982419800 5536022000 6228024750 8304033000 9964839600 12456049500 16608066000 24912099000 49824198000