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4076430346704 = 2431943731022129
BaseRepresentation
bin111011010100011110001…
…011101100100111010000
3112102200222102212121011210
4323110132023230213100
51013242012132043304
612400404121340120
7600340513144212
oct73243613544720
915380872777153
104076430346704
111331893727361
1255a058337640
13237537517161
1410142bd885b2
1571085dadc89
hex3b51e2ec9d0

4076430346704 has 80 divisors (see below), whose sum is σ = 11087575617600. Its totient is φ = 1286998161408.

The previous prime is 4076430346669. The next prime is 4076430346711.

4076430346704 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477112 + ... + 4499240.

It is an arithmetic number, because the mean of its divisors is an integer number (138594695220).

Almost surely, 24076430346704 is an apocalyptic number.

It is an amenable number.

4076430346704 is an abundant number, since it is smaller than the sum of its proper divisors (7011145270896).

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

4076430346704 is a wasteful number, since it uses less digits than its factorization.

4076430346704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026532 (or 1026526 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 4076430346704 in words is "four trillion, seventy-six billion, four hundred thirty million, three hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 4373 8746 13119 17492 26238 34984 52476 69968 83087 104952 166174 209904 249261 332348 498522 664696 997044 1022129 1329392 1994088 2044258 3066387 3988176 4088516 6132774 8177032 12265548 16354064 19420451 24531096 38840902 49062192 58261353 77681804 116522706 155363608 233045412 310727216 466090824 932181648 4469770117 8939540234 13409310351 17879080468 26818620702 35758160936 53637241404 71516321872 84925632223 107274482808 169851264446 214548965616 254776896669 339702528892 509553793338 679405057784 1019107586676 1358810115568 2038215173352 4076430346704