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2041769004 = 2231124134297
BaseRepresentation
bin111100110110010…
…1110110000101100
312021021221121112020
41321230232300230
513140143102004
6534334110140
7101411515212
oct17154566054
95237847466
102041769004
11958586300
1248b94b350
13267010152
1415524ccb2
15be3b38d9
hex79b2ec2c

2041769004 has 72 divisors (see below), whose sum is σ = 5364481584. Its totient is φ = 603609600.

The previous prime is 2041768997. The next prime is 2041769011. The reversal of 2041769004 is 4009671402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2041768997) and next prime (2041769011).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42384 + ... + 76680.

Almost surely, 22041769004 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 2041769004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682240792).

2041769004 is an abundant number, since it is smaller than the sum of its proper divisors (3322712580).

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

2041769004 is a wasteful number, since it uses less digits than its factorization.

2041769004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34367 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2041769004 is about 45185.9381223849. The cubic root of 2041769004 is about 1268.6316309317.

The spelling of 2041769004 in words is "two billion, forty-one million, seven hundred sixty-nine thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1353 1452 1804 2706 4961 5412 9922 14883 19844 29766 34297 59532 68594 102891 137188 205782 377267 411564 754534 1131801 1406177 1509068 2263602 2812354 4149937 4218531 4527204 5624708 8299874 8437062 12449811 15467947 16599748 16874124 24899622 30935894 46403841 49799244 61871788 92807682 170147417 185615364 340294834 510442251 680589668 1020884502 2041769004