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2148743630000 = 245411191028107
BaseRepresentation
bin11111010001001011000…
…110011100110010110000
321121102021122020011012102
4133101023012130302300
5240201111332130000
64323041425115532
7311145604333022
oct37211306346260
97542248204172
102148743630000
11759305841620
122a8535a88ba8
13127819743716
1475ddd43a012
153ad616393d5
hex1f44b19ccb0

2148743630000 has 200 divisors, whose sum is σ = 5973965469120. Its totient is φ = 740236320000.

The previous prime is 2148743629997. The next prime is 2148743630021. The reversal of 2148743630000 is 363478412.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1575947 + ... + 2604053.

Almost surely, 22148743630000 is an apocalyptic number.

2148743630000 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 2148743630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986982734560).

2148743630000 is an abundant number, since it is smaller than the sum of its proper divisors (3825221839120).

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

2148743630000 is a wasteful number, since it uses less digits than its factorization.

2148743630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028165 (or 1028144 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 2148743630000 in words is "two trillion, one hundred forty-eight billion, seven hundred forty-three million, six hundred thirty thousand".