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6659917920 = 253256769029
BaseRepresentation
bin1100011001111011…
…00100100001100000
3122012010210212212200
412030331210201200
5102114414333140
63020505053200
7324016240215
oct61475444140
918163725780
106659917920
1129083939a7
12135a487200
13821a13146
14472711b0c
1528ea3e030
hex18cf64860

6659917920 has 144 divisors (see below), whose sum is σ = 23066512560. Its totient is φ = 1749445632.

The previous prime is 6659917883. The next prime is 6659918021. The reversal of 6659917920 is 297199566.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×66599179202 = 88709013402274252800, which contains 22 as substring.

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, 61966 + ... + 130994.

It is an arithmetic number, because the mean of its divisors is an integer number (160184115).

Almost surely, 26659917920 is an apocalyptic number.

6659917920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6659917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533256280).

6659917920 is an abundant number, since it is smaller than the sum of its proper divisors (16406594640).

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

6659917920 is a wasteful number, since it uses less digits than its factorization.

6659917920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69117 (or 69106 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 6659917920 is about 81608.3201640617. The cubic root of 6659917920 is about 1881.4367619650.

The spelling of 6659917920 in words is "six billion, six hundred fifty-nine million, nine hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 144 160 180 201 240 268 288 335 360 402 480 536 603 670 720 804 1005 1072 1206 1340 1440 1608 2010 2144 2412 2680 3015 3216 4020 4824 5360 6030 6432 8040 9648 10720 12060 16080 19296 24120 32160 48240 69029 96480 138058 207087 276116 345145 414174 552232 621261 690290 828348 1035435 1104464 1242522 1380580 1656696 2070870 2208928 2485044 2761160 3106305 3313392 4141740 4624943 4970088 5522320 6212610 6626784 8283480 9249886 9940176 11044640 12425220 13874829 16566960 18499772 19880352 23124715 24850440 27749658 33133920 36999544 41624487 46249430 49700880 55499316 69374145 73999088 83248974 92498860 99401760 110998632 138748290 147998176 166497948 184997720 208122435 221997264 277496580 332995896 369995440 416244870 443994528 554993160 665991792 739990880 832489740 1109986320 1331983584 1664979480 2219972640 3329958960 6659917920