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40183668504 = 233276110112941
BaseRepresentation
bin100101011011001000…
…100001111100011000
310211201110122212022200
4211123020201330120
51124244004343004
630243215250200
72621534355330
oct453310417430
9124643585280
1040183668504
11160506a69a1
127955519960
133a3513c155
141d32b3c0c0
1510a2bb7239
hex95b221f18

40183668504 has 192 divisors, whose sum is σ = 127678524480. Its totient is φ = 11180160000.

The previous prime is 40183668467. The next prime is 40183668523. The reversal of 40183668504 is 40586638104.

40183668504 is a `hidden beast` number, since 4 + 0 + 1 + 83 + 6 + 68 + 504 = 666.

It is a super-2 number, since 2×401836685042 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40183668504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3098674 + ... + 3111614.

It is an arithmetic number, because the mean of its divisors is an integer number (664992315).

Almost surely, 240183668504 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 40183668504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63839262240).

40183668504 is an abundant number, since it is smaller than the sum of its proper divisors (87494855976).

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

40183668504 is a wasteful number, since it uses less digits than its factorization.

40183668504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40183668504 in words is "forty billion, one hundred eighty-three million, six hundred sixty-eight thousand, five hundred four".