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6380912640 = 216356491
BaseRepresentation
bin1011111000101010…
…10000000000000000
3121110200210221120210
411330111100000000
5101032003201030
62533101034120
7314060601564
oct57425200000
917420727523
106380912640
11278494a123
1212a0b55940
137a8c8646b
144476456a4
152752cabb0
hex17c550000

6380912640 has 136 divisors (see below), whose sum is σ = 20421910368. Its totient is φ = 1701314560.

The previous prime is 6380912627. The next prime is 6380912677. The reversal of 6380912640 is 462190836.

It is a super-2 number, since 2×63809126402 = 81432092238623539200, 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 7 ways as a sum of consecutive naturals, for example, 979795 + ... + 986285.

Almost surely, 26380912640 is an apocalyptic number.

6380912640 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 6380912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10210955184).

6380912640 is an abundant number, since it is smaller than the sum of its proper divisors (14040997728).

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

6380912640 is an frugal number, since it uses more digits than its factorization.

6380912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6380912640 is about 79880.6149200167. The cubic root of 6380912640 is about 1854.7879522122.

The spelling of 6380912640 in words is "six billion, three hundred eighty million, nine hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 6491 7680 8192 10240 12288 12982 15360 16384 19473 20480 24576 25964 30720 32455 32768 38946 40960 49152 51928 61440 64910 65536 77892 81920 97365 98304 103856 122880 129820 155784 163840 194730 196608 207712 245760 259640 311568 327680 389460 415424 491520 519280 623136 778920 830848 983040 1038560 1246272 1557840 1661696 2077120 2492544 3115680 3323392 4154240 4985088 6231360 6646784 8308480 9970176 12462720 13293568 16616960 19940352 24925440 26587136 33233920 39880704 49850880 53174272 66467840 79761408 99701760 106348544 132935680 159522816 199403520 212697088 265871360 319045632 398807040 425394176 531742720 638091264 797614080 1063485440 1276182528 1595228160 2126970880 3190456320 6380912640