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40006704066 = 23773115311317
BaseRepresentation
bin100101010000100101…
…011101101111000010
310211021010200010202020
4211100211131233002
51123413204012231
630213454302310
72614255242120
oct452045355702
9124233603666
1040006704066
1115a6a81799a
1279061b7996
133a0758bb74
141d17434910
1510923ad396
hex95095dbc2

40006704066 has 64 divisors (see below), whose sum is σ = 92785145088. Its totient is φ = 11263131648.

The previous prime is 40006704053. The next prime is 40006704103. The reversal of 40006704066 is 66040760004.

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 31 ways as a sum of consecutive naturals, for example, 3529440 + ... + 3540756.

It is an arithmetic number, because the mean of its divisors is an integer number (1449767892).

Almost surely, 240006704066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006704066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46392572544).

40006704066 is an abundant number, since it is smaller than the sum of its proper divisors (52778441022).

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

40006704066 is a wasteful number, since it uses less digits than its factorization.

40006704066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555.

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 40006704066 in words is "forty billion, six million, seven hundred four thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1153 1533 2306 3066 3459 6918 8071 11317 16142 22634 24213 33951 48426 67902 79219 84169 158438 168338 237657 252507 475314 505014 589183 826141 1178366 1652282 1767549 2478423 3535098 4956846 5782987 11565974 13048501 17348961 26097002 34697922 39145503 78291006 91339507 182679014 274018521 548037042 952540573 1905081146 2857621719 5715243438 6667784011 13335568022 20003352033 40006704066