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4469470464 = 283107137397
BaseRepresentation
bin1000010100110011…
…01011010100000000
3102112111002121212010
410022121223110000
533123141023324
62015300132520
7215520605064
oct41231532400
912474077763
104469470464
111993999348
12a48997140
13562c777a4
1430583daa4
151b25ac829
hex10a66b500

4469470464 has 144 divisors (see below), whose sum is σ = 12124582848. Its totient is φ = 1461436416.

The previous prime is 4469470429. The next prime is 4469470513. The reversal of 4469470464 is 4640749644.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11257914 + ... + 11258310.

It is an arithmetic number, because the mean of its divisors is an integer number (84198492).

Almost surely, 24469470464 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 4469470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062291424).

4469470464 is an abundant number, since it is smaller than the sum of its proper divisors (7655112384).

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

4469470464 is a wasteful number, since it uses less digits than its factorization.

4469470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The square root of 4469470464 is about 66854.0983336100. The cubic root of 4469470464 is about 1647.2215822962.

The spelling of 4469470464 in words is "four billion, four hundred sixty-nine million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 137 192 214 256 274 321 384 397 411 428 548 642 768 794 822 856 1096 1191 1284 1588 1644 1712 2192 2382 2568 3176 3288 3424 4384 4764 5136 6352 6576 6848 8768 9528 10272 12704 13152 13696 14659 17536 19056 20544 25408 26304 27392 29318 35072 38112 41088 42479 43977 50816 52608 54389 58636 76224 82176 84958 87954 101632 105216 108778 117272 127437 152448 163167 169916 175908 217556 234544 254874 304896 326334 339832 351816 435112 469088 509748 652668 679664 703632 870224 938176 1019496 1305336 1359328 1407264 1740448 1876352 2038992 2610672 2718656 2814528 3480896 3752704 4077984 5221344 5437312 5629056 5819623 6961792 8155968 10442688 10874624 11258112 11639246 13923584 16311936 17458869 20885376 23278492 32623872 34917738 41770752 46556984 69835476 93113968 139670952 186227936 279341904 372455872 558683808 744911744 1117367616 1489823488 2234735232 4469470464