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2040005913600 = 210352972511091
BaseRepresentation
bin11101101011111001110…
…100111110110000000000
321020000121112000211101210
4131223321310332300000
5231410413003213400
64201055450330120
7300246151105464
oct35537164766000
97200545024353
102040005913600
117171861788a6
1228b449a29940
1311a4aa9074b5
1470a45b5a4a4
15380ea281950
hex1daf9d3ec00

2040005913600 has 528 divisors, whose sum is σ = 6845241626496. Its totient is φ = 535756800000.

The previous prime is 2040005913559. The next prime is 2040005913607. The reversal of 2040005913600 is 63195000402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2040005913607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869849055 + ... + 1869850145.

Almost surely, 22040005913600 is an apocalyptic number.

2040005913600 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 2040005913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422620813248).

2040005913600 is an abundant number, since it is smaller than the sum of its proper divisors (4805235712896).

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

2040005913600 is a wasteful number, since it uses less digits than its factorization.

2040005913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 2040005913600 in words is "two trillion, forty billion, five million, nine hundred thirteen thousand, six hundred".