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4074288966 = 23211374211321
BaseRepresentation
bin1111001011011000…
…1011011101000110
3101111221111022202100
43302312023131012
531321004221331
61512142052530
7202651612326
oct36266133506
911457438670
104074288966
111800914670
1295857a146
134cc132497
142a9171286
1518ca4bae6
hexf2d8b746

4074288966 has 96 divisors (see below), whose sum is σ = 9921409056. Its totient is φ = 1197504000.

The previous prime is 4074288949. The next prime is 4074288971. The reversal of 4074288966 is 6698824704.

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, 3083586 + ... + 3084906.

It is an arithmetic number, because the mean of its divisors is an integer number (103348011).

Almost surely, 24074288966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074288966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960704528).

4074288966 is an abundant number, since it is smaller than the sum of its proper divisors (5847120090).

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

4074288966 is a wasteful number, since it uses less digits than its factorization.

4074288966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4074288966 is about 63830.1571829492. The cubic root of 4074288966 is about 1597.1680328817.

The spelling of 4074288966 in words is "four billion, seventy-four million, two hundred eighty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 421 666 814 842 1221 1263 1321 2442 2526 2642 3663 3789 3963 4631 7326 7578 7926 9262 11889 13893 14531 15577 23778 27786 29062 31154 41679 43593 46731 48877 83358 87186 93462 97754 130779 140193 146631 171347 261558 280386 293262 342694 439893 514041 537647 556141 879786 1028082 1075294 1112282 1542123 1612941 1668423 3084246 3225882 3336846 4838823 5005269 6117551 9677646 10010538 12235102 18352653 20577217 36705306 41154434 55057959 61731651 110115918 123463302 185194953 226349387 370389906 452698774 679048161 1358096322 2037144483 4074288966