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10800001944 = 23331714512027
BaseRepresentation
bin10100000111011101…
…01111001110011000
31000212200002221111000
422003232233032120
5134104300030234
64543401305000
7531430334064
oct120356571630
930780087430
1010800001944
114642357346
122114a95160
1310316711c4
147464ccaa4
15433235899
hex283baf398

10800001944 has 128 divisors (see below), whose sum is σ = 31802284800. Its totient is φ = 3384230400.

The previous prime is 10800001943. The next prime is 10800001951. The reversal of 10800001944 is 44910000801.

It is a Harshad number since it is a multiple of its sum of digits (27).

10800001944 is a modest number, since divided by 1944 gives 1080 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800001943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5327059 + ... + 5329085.

It is an arithmetic number, because the mean of its divisors is an integer number (248455350).

Almost surely, 210800001944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800001944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901142400).

10800001944 is an abundant number, since it is smaller than the sum of its proper divisors (21002282856).

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

10800001944 is a wasteful number, since it uses less digits than its factorization.

10800001944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10800001944 in words is "ten billion, eight hundred million, one thousand, nine hundred forty-four".