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6652430064 = 2432716973889
BaseRepresentation
bin1100011001000010…
…00000011011110000
3122011121201110110200
412030201000123300
5102111010230224
63020040355200
7323565502560
oct61441003360
918147643420
106652430064
11290413a195
121357a75b00
138202c0b67
14471722da0
1528e0605c9
hex18c8406f0

6652430064 has 120 divisors (see below), whose sum is σ = 21295229280. Its totient is φ = 1899085824.

The previous prime is 6652430039. The next prime is 6652430087. The reversal of 6652430064 is 4600342566.

It is a super-2 number, since 2×66524300642 = 88509651512822088192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708632 + ... + 1712520.

It is an arithmetic number, because the mean of its divisors is an integer number (177460244).

Almost surely, 26652430064 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 6652430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647614640).

6652430064 is an abundant number, since it is smaller than the sum of its proper divisors (14642799216).

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

6652430064 is a wasteful number, since it uses less digits than its factorization.

6652430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6652430064 is about 81562.4304689359. The cubic root of 6652430064 is about 1880.7313873753.

The spelling of 6652430064 in words is "six billion, six hundred fifty-two million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1697 3394 3889 5091 6788 7778 10182 11667 11879 13576 15273 15556 20364 23334 23758 27152 27223 30546 31112 35001 35637 40728 46668 47516 54446 61092 62224 70002 71274 81456 81669 93336 95032 106911 108892 122184 140004 142548 163338 186672 190064 213822 217784 244368 245007 280008 285096 326676 427644 435568 490014 560016 570192 653352 855288 980028 1306704 1710576 1960056 3920112 6599633 13199266 19798899 26398532 39597798 46197431 52797064 59396697 79195596 92394862 105594128 118793394 138592293 158391192 184789724 237586788 277184586 316782384 369579448 415776879 475173576 554369172 739158896 831553758 950347152 1108738344 1663107516 2217476688 3326215032 6652430064