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4012056378 = 23211191079967
BaseRepresentation
bin1110111100100011…
…0001111100111010
3101100121101120200200
43233020301330322
531204041301003
61502040143030
7201264626241
oct35710617472
911317346620
104012056378
111779779380
1293b767a76
134bc283275
142a0bb1958
151873576a3
hexef231f3a

4012056378 has 96 divisors (see below), whose sum is σ = 10076451840. Its totient is φ = 1140907680.

The previous prime is 4012056341. The next prime is 4012056403. The reversal of 4012056378 is 8736502104.

4012056378 is a `hidden beast` number, since 4 + 0 + 1 + 20 + 563 + 78 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397551 + ... + 407517.

It is an arithmetic number, because the mean of its divisors is an integer number (104963040).

Almost surely, 24012056378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012056378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038225920).

4012056378 is an abundant number, since it is smaller than the sum of its proper divisors (6064395462).

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

4012056378 is a wasteful number, since it uses less digits than its factorization.

4012056378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4012056378 is about 63340.7955270535. The cubic root of 4012056378 is about 1588.9943112208.

The spelling of 4012056378 in words is "four billion, twelve million, fifty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 107 114 171 198 209 214 321 342 418 627 642 963 1177 1254 1881 1926 2033 2354 3531 3762 4066 6099 7062 9967 10593 12198 18297 19934 21186 22363 29901 36594 44726 59802 67089 89703 109637 134178 179406 189373 201267 219274 328911 378746 402534 568119 657822 986733 1066469 1136238 1704357 1973466 2083103 2132938 3199407 3408714 4166206 6249309 6398814 9598221 11731159 12498618 18747927 19196442 20262911 23462318 35193477 37495854 40525822 60788733 70386954 105580431 121577466 182366199 211160862 222892021 364732398 445784042 668676063 1337352126 2006028189 4012056378