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2104400412 = 22353136917
BaseRepresentation
bin111110101101110…
…1001101000011100
312102122210121200000
41331123221220130
513302211303122
6544452334300
7103102052112
oct17533515034
95378717600
102104400412
1198a9741a4
124a8914390
13276c9ba5a
1415d6b3ab2
15c4b360ac
hex7d6e9a1c

2104400412 has 72 divisors (see below), whose sum is σ = 5534898096. Its totient is φ = 699124608.

The previous prime is 2104400383. The next prime is 2104400429. The reversal of 2104400412 is 2140044012.

2104400412 is a `hidden beast` number, since 210 + 4 + 40 + 0 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300778 + ... + 307694.

Almost surely, 22104400412 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 2104400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767449048).

2104400412 is an abundant number, since it is smaller than the sum of its proper divisors (3430497684).

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

2104400412 is a wasteful number, since it uses less digits than its factorization.

2104400412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2104400412 is about 45873.7442552927. The cubic root of 2104400412 is about 1281.4729974515.

Adding to 2104400412 its reverse (2140044012), we get a palindrome (4244444424).

The spelling of 2104400412 in words is "two billion, one hundred four million, four hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 313 324 486 626 939 972 1252 1878 2817 3756 5634 6917 8451 11268 13834 16902 20751 25353 27668 33804 41502 50706 62253 76059 83004 101412 124506 152118 186759 249012 304236 373518 560277 747036 1120554 1680831 2165021 2241108 3361662 4330042 6495063 6723324 8660084 12990126 19485189 25980252 38970378 58455567 77940756 116911134 175366701 233822268 350733402 526100103 701466804 1052200206 2104400412