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4065644472 = 2331982710781
BaseRepresentation
bin1111001001010100…
…1100111110111000
3101111100020010201220
43302111030332320
531311301110342
61511232512040
7202515256611
oct36225147670
911440203656
104065644472
1117a6a4a95a
129556ab620
134ca3c68b6
142a7d60c08
1518bde05ec
hexf254cfb8

4065644472 has 64 divisors (see below), whose sum is σ = 10712995200. Its totient is φ = 1282216320.

The previous prime is 4065644467. The next prime is 4065644483. The reversal of 4065644472 is 2744465604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371722 + ... + 382502.

It is an arithmetic number, because the mean of its divisors is an integer number (167390550).

Almost surely, 24065644472 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 4065644472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356497600).

4065644472 is an abundant number, since it is smaller than the sum of its proper divisors (6647350728).

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

4065644472 is a wasteful number, since it uses less digits than its factorization.

4065644472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11636 (or 11632 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The square root of 4065644472 is about 63762.4064163203. The cubic root of 4065644472 is about 1596.0376527696.

The spelling of 4065644472 in words is "four billion, sixty-five million, six hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 827 1654 2481 3308 4962 6616 9924 10781 15713 19848 21562 31426 32343 43124 47139 62852 64686 86248 94278 125704 129372 188556 204839 258744 377112 409678 614517 819356 1229034 1638712 2458068 4916136 8915887 17831774 26747661 35663548 53495322 71327096 106990644 169401853 213981288 338803706 508205559 677607412 1016411118 1355214824 2032822236 4065644472