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2148293396480 = 21157112247691
BaseRepresentation
bin11111010000110000010…
…000111100100000000000
321121101010021000220220212
4133100300100330200000
5240144201102141410
64322525023053252
7311131466401610
oct37206020744000
97541107026825
102148293396480
117590a4686500
122a842b141228
1312777739465a
1475d9971aa40
153ad36d51b05
hex1f43043c800

2148293396480 has 288 divisors, whose sum is σ = 6475283156160. Its totient is φ = 669595238400.

The previous prime is 2148293396471. The next prime is 2148293396591. The reversal of 2148293396480 is 846933928412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8549435 + ... + 8797125.

It is an arithmetic number, because the mean of its divisors is an integer number (22483622070).

Almost surely, 22148293396480 is an apocalyptic number.

2148293396480 is a gapful number since it is divisible by the number (20) 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 2148293396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237641578080).

2148293396480 is an abundant number, since it is smaller than the sum of its proper divisors (4326989759680).

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

2148293396480 is a wasteful number, since it uses less digits than its factorization.

2148293396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247747 (or 247716 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 59.

The spelling of 2148293396480 in words is "two trillion, one hundred forty-eight billion, two hundred ninety-three million, three hundred ninety-six thousand, four hundred eighty".