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48933696000 = 293537231583
BaseRepresentation
bin101101100100101011…
…001111001000000000
311200022021101022112010
4231210223033020000
51300204011233000
634251350532520
73351423360510
oct554453171000
9150267338463
1048933696000
1119830883082
129597967140
1347cab89407
142522c83840
151415e67d50
hexb64acf200

48933696000 has 640 divisors, whose sum is σ = 194140717056. Its totient is φ = 10691788800.

The previous prime is 48933695969. The next prime is 48933696083. The reversal of 48933696000 is 69633984.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30911209 + ... + 30912791.

Almost surely, 248933696000 is an apocalyptic number.

48933696000 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 48933696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97070358528).

48933696000 is an abundant number, since it is smaller than the sum of its proper divisors (145207021056).

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

48933696000 is a wasteful number, since it uses less digits than its factorization.

48933696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 48933696000 in words is "forty-eight billion, nine hundred thirty-three million, six hundred ninety-six thousand".