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4466074704 = 2437132935257
BaseRepresentation
bin1000010100011001…
…01110010001010000
3102112020201002202020
410022030232101100
533121303342304
62015055251440
7215450002650
oct41214562120
912466632666
104466074704
111991a8a033
12a47819b80
13562358c70
143051d8360
151b213b5d9
hex10a32e450

4466074704 has 160 divisors (see below), whose sum is σ = 14689893120. Its totient is φ = 1137217536.

The previous prime is 4466074699. The next prime is 4466074757. The reversal of 4466074704 is 4074706644.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109044 + ... + 144300.

It is an arithmetic number, because the mean of its divisors is an integer number (91811832).

Almost surely, 24466074704 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 4466074704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344946560).

4466074704 is an abundant number, since it is smaller than the sum of its proper divisors (10223818416).

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

4466074704 is a wasteful number, since it uses less digits than its factorization.

4466074704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35317 (or 35311 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4466074704 is about 66828.6967103205. The cubic root of 4466074704 is about 1646.8043079301.

The spelling of 4466074704 in words is "four billion, four hundred sixty-six million, seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 6032 7917 9048 9744 10556 15834 18096 21112 31668 35257 42224 63336 70514 105771 126672 141028 211542 246799 282056 423084 458341 493598 564112 740397 846168 916682 987196 1022453 1375023 1480794 1692336 1833364 1974392 2044906 2750046 2961588 3067359 3208387 3666728 3948784 4089812 5500092 5923176 6134718 6416774 7157171 7333456 8179624 9625161 11000184 11846352 12269436 12833548 13291889 14314342 16359248 19250322 21471513 22000368 24538872 25667096 26583778 28628684 38500644 39875667 42943026 49077744 51334192 53167556 57257368 77001288 79751334 85886052 93043223 106335112 114514736 154002576 159502668 171772104 186086446 212670224 279129669 319005336 343544208 372172892 558259338 638010672 744345784 1116518676 1488691568 2233037352 4466074704