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4147669068 = 22319237113229
BaseRepresentation
bin1111011100111000…
…0110100001001100
3101201001120102022220
43313032012201030
531443300402233
61523322535340
7204532414434
oct36716064114
911631512286
104147669068
111839284184
12979067550
135113b566a
142b4bd32c4
151941e3eb3
hexf738684c

4147669068 has 144 divisors (see below), whose sum is σ = 10629168480. Its totient is φ = 1257596928.

The previous prime is 4147669067. The next prime is 4147669069. The reversal of 4147669068 is 8609667414.

4147669068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4147669067) and next prime (4147669069).

It is a self number, because there is not a number n which added to its sum of digits gives 4147669068.

It is not an unprimeable number, because it can be changed into a prime (4147669063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18111978 + ... + 18112206.

It is an arithmetic number, because the mean of its divisors is an integer number (73813670).

Almost surely, 24147669068 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 4147669068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314584240).

4147669068 is an abundant number, since it is smaller than the sum of its proper divisors (6481499412).

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

4147669068 is a wasteful number, since it uses less digits than its factorization.

4147669068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4147669068 is about 64402.3995515695. The cubic root of 4147669068 is about 1606.6996507483.

The spelling of 4147669068 in words is "four billion, one hundred forty-seven million, six hundred sixty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 113 114 148 222 226 228 229 339 361 444 452 458 678 687 703 722 916 1083 1356 1374 1406 1444 2109 2147 2166 2748 2812 4181 4218 4294 4332 4351 6441 8362 8436 8473 8588 8702 12543 12882 13053 13357 16724 16946 17404 25086 25419 25764 25877 26106 26714 33892 40071 40793 50172 50838 51754 52212 53428 77631 79439 80142 81586 82669 101676 103508 122379 155262 158878 160284 160987 163172 165338 238317 244758 248007 310524 317756 321974 330676 476634 482961 489516 491663 496014 643948 953268 957449 965922 983326 992028 1474989 1509341 1914898 1931844 1966652 2872347 2949978 3018682 3058753 3829796 4528023 5744694 5899956 6037364 6117506 9056046 9176259 9341597 11489388 12235012 18112092 18191531 18352518 18683194 28024791 36383062 36705036 37366388 54574593 56049582 72766124 109149186 112099164 218298372 345639089 691278178 1036917267 1382556356 2073834534 4147669068