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2123544006 = 2331915713183
BaseRepresentation
bin111111010010010…
…1011010111000110
312110222211012202000
41332210223113012
513322111402011
6550414530130
7103423553253
oct17644532706
95428735660
102123544006
1199a75a051
124b3206946
1327ac4241c
1416205842a
15c6668356
hex7e92b5c6

2123544006 has 64 divisors (see below), whose sum is σ = 4999372800. Its totient is φ = 666271008.

The previous prime is 2123543963. The next prime is 2123544061. The reversal of 2123544006 is 6004453212.

2123544006 is a `hidden beast` number, since 21 + 235 + 4 + 400 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154491 + ... + 167673.

It is an arithmetic number, because the mean of its divisors is an integer number (78115200).

Almost surely, 22123544006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123544006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499686400).

2123544006 is an abundant number, since it is smaller than the sum of its proper divisors (2875828794).

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

2123544006 is a wasteful number, since it uses less digits than its factorization.

2123544006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13370 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2123544006 is about 46081.9271081408. The cubic root of 2123544006 is about 1285.3470991771.

Adding to 2123544006 its reverse (6004453212), we get a palindrome (8127997218).

The spelling of 2123544006 in words is "two billion, one hundred twenty-three million, five hundred forty-four thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 157 171 314 342 471 513 942 1026 1413 2826 2983 4239 5966 8478 8949 13183 17898 26366 26847 39549 53694 79098 80541 118647 161082 237294 250477 355941 500954 711882 751431 1502862 2069731 2254293 4139462 4508586 6209193 6762879 12418386 13525758 18627579 37255158 39324889 55882737 78649778 111765474 117974667 235949334 353924001 707848002 1061772003 2123544006