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48916498000 = 2453193312653
BaseRepresentation
bin101101100011101001…
…101000011001010000
311200021002000120022011
4231203221220121100
51300140110414000
634245534152304
73351124241536
oct554351503120
9150232016264
1048916498000
11198220a6a57
129592052694
1347c7447496
142520888156
1514146bc2ba
hexb63a68650

48916498000 has 80 divisors (see below), whose sum is σ = 118350634896. Its totient is φ = 19554931200.

The previous prime is 48916497979. The next prime is 48916498009. The reversal of 48916498000 is 89461984.

It can be written as a sum of positive squares in 8 ways, for example, as 28783158336 + 20133339664 = 169656^2 + 141892^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48916498009) 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, 3859674 + ... + 3872326.

Almost surely, 248916498000 is an apocalyptic number.

48916498000 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 48916498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59175317448).

48916498000 is an abundant number, since it is smaller than the sum of its proper divisors (69434136896).

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

48916498000 is a wasteful number, since it uses less digits than its factorization.

48916498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 48916498000 in words is "forty-eight billion, nine hundred sixteen million, four hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1933 2000 3866 7732 9665 12653 15464 19330 25306 30928 38660 48325 50612 63265 77320 96650 101224 126530 154640 193300 202448 241625 253060 316325 386600 483250 506120 632650 773200 966500 1012240 1265300 1581625 1933000 2530600 3163250 3866000 5061200 6326500 12653000 24458249 25306000 48916498 97832996 122291245 195665992 244582490 391331984 489164980 611456225 978329960 1222912450 1956659920 2445824900 3057281125 4891649800 6114562250 9783299600 12229124500 24458249000 48916498000