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16380058248960 = 283572711226111
BaseRepresentation
bin1110111001011100011110…
…0011011010011100000000
32010222220210102102021000120
43232113013203122130000
54121332324402431320
654500521143220240
73310264053564600
oct356270743323400
963886712367016
1016380058248960
11524581a94408a
121a06694447680
1391a82c534963
14408b2883cc00
151d6139c12440
hexee5c78da700

16380058248960 has 432 divisors, whose sum is σ = 61712002179072. Its totient is φ = 3691277721600.

The previous prime is 16380058248833. The next prime is 16380058248971. The reversal of 16380058248960 is 6984285008361.

16380058248960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 16380058248894 and 16380058248903.

It is a congruent number.

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, 12746305 + ... + 13972415.

It is an arithmetic number, because the mean of its divisors is an integer number (142851856896).

Almost surely, 216380058248960 is an apocalyptic number.

16380058248960 is a gapful number since it is divisible by the number (10) 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 16380058248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30856001089536).

16380058248960 is an abundant number, since it is smaller than the sum of its proper divisors (45331943930112).

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

16380058248960 is a wasteful number, since it uses less digits than its factorization.

16380058248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226220 (or 1226199 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 16380058248960 in words is "sixteen trillion, three hundred eighty billion, fifty-eight million, two hundred forty-eight thousand, nine hundred sixty".