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2948996043840 = 2635711172316173
BaseRepresentation
bin101010111010011101110…
…111001001010001000000
3101102220212121022211212210
4222322131313021101000
5341304020441400330
610134430003422120
7423025604532330
oct52723567112100
911386777284783
102948996043840
11a377314285a0
123b7650984940
13185120a993a2
14a2a371090c0
1551a9bb8a8b0
hex2ae9ddc9440

2948996043840 has 2688 divisors, whose sum is σ = 13188577591296. Its totient is φ = 541458432000.

The previous prime is 2948996043797. The next prime is 2948996043841. The reversal of 2948996043840 is 483406998492.

It is a Smith number, since the sum of its digits (66) 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 (66).

It is not an unprimeable number, because it can be changed into a prime (2948996043841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40397206044 + ... + 40397206116.

Almost surely, 22948996043840 is an apocalyptic number.

2948996043840 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 2948996043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594288795648).

2948996043840 is an abundant number, since it is smaller than the sum of its proper divisors (10239581547456).

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

2948996043840 is a wasteful number, since it uses less digits than its factorization.

2948996043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 2948996043840 in words is "two trillion, nine hundred forty-eight billion, nine hundred ninety-six million, forty-three thousand, eight hundred forty".