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46887379968 = 21031121331313
BaseRepresentation
bin101011101010101101…
…001010010000000000
311111000122212200122110
4223222231022100000
51232011132124333
633312331135320
73246625103532
oct535255122000
9144018780573
1046887379968
1118980781600
1291065a4540
134562c46720
1423ab1ad852
1513464a7063
hexaeab4a400

46887379968 has 528 divisors, whose sum is σ = 153192370688. Its totient is φ = 12651724800.

The previous prime is 46887379933. The next prime is 46887379993. The reversal of 46887379968 is 86997378864.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 46887379968.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149799780 + ... + 149800092.

Almost surely, 246887379968 is an apocalyptic number.

46887379968 is a gapful number since it is divisible by the number (48) 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 46887379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76596185344).

46887379968 is an abundant number, since it is smaller than the sum of its proper divisors (106304990720).

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

46887379968 is a wasteful number, since it uses less digits than its factorization.

46887379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 75.

The spelling of 46887379968 in words is "forty-six billion, eight hundred eighty-seven million, three hundred seventy-nine thousand, nine hundred sixty-eight".