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2493156503040 = 2935728278011
BaseRepresentation
bin100100010001111011101…
…101010010111000000000
322211100021100210220020020
4210101323231102320000
5311321441031044130
65145201300213440
7345060512421300
oct44217355227000
98740240726206
102493156503040
11881383938775
1234323509a280
13151146944058
1488952c55600
1544cbce0ce10
hex2447bb52e00

2493156503040 has 480 divisors, whose sum is σ = 9283954610304. Its totient is φ = 569104220160.

The previous prime is 2493156503039. The next prime is 2493156503051. The reversal of 2493156503040 is 403056513942.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2493156502983 and 2493156503001.

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, 311212635 + ... + 311220645.

Almost surely, 22493156503040 is an apocalyptic number.

2493156503040 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 2493156503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641977305152).

2493156503040 is an abundant number, since it is smaller than the sum of its proper divisors (6790798107264).

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

2493156503040 is an equidigital number, since it uses as much as digits as its factorization.

2493156503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 2493156503040 in words is "two trillion, four hundred ninety-three billion, one hundred fifty-six million, five hundred three thousand, forty".