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4012014768 = 2431921120849
BaseRepresentation
bin1110111100100010…
…0111110010110000
3101100121022110121120
43233020213302300
531204033433033
61502035222240
7201264364026
oct35710476260
911317273546
104012014768
111779750093
1293b747980
134bc26a348
142a0ba0716
1518734a1b3
hexef227cb0

4012014768 has 80 divisors (see below), whose sum is σ = 10962096000. Its totient is φ = 1260887040.

The previous prime is 4012014751. The next prime is 4012014791. The reversal of 4012014768 is 8674102104.

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 15 ways as a sum of consecutive naturals, for example, 182008 + ... + 202856.

It is an arithmetic number, because the mean of its divisors is an integer number (137026200).

Almost surely, 24012014768 is an apocalyptic number.

4012014768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481048000).

4012014768 is an abundant number, since it is smaller than the sum of its proper divisors (6950081232).

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

4012014768 is a wasteful number, since it uses less digits than its factorization.

4012014768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21090 (or 21084 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4012014768 is about 63340.4670649025. The cubic root of 4012014768 is about 1588.9888179213.

The spelling of 4012014768 in words is "four billion, twelve million, fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 211 228 304 422 456 633 844 912 1266 1688 2532 3376 4009 5064 8018 10128 12027 16036 20849 24054 32072 41698 48108 62547 64144 83396 96216 125094 166792 192432 250188 333584 396131 500376 792262 1000752 1188393 1584524 2376786 3169048 4399139 4753572 6338096 8798278 9507144 13197417 17596556 19014288 26394834 35193112 52789668 70386224 83583641 105579336 167167282 211158672 250750923 334334564 501501846 668669128 1003003692 1337338256 2006007384 4012014768