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5108465664 = 216332887
BaseRepresentation
bin1001100000111110…
…10000000000000000
3111012000110221111000
410300133100000000
540430231400124
62202524052000
7240410145621
oct46037200000
914160427430
105108465664
112191660955
12ba6994000
13635477763
14366657a48
151ed72e6c9
hex1307d0000

5108465664 has 136 divisors (see below), whose sum is σ = 15141321920. Its totient is φ = 1702232064.

The previous prime is 5108465629. The next prime is 5108465683. The reversal of 5108465664 is 4665648015.

5108465664 is a `hidden beast` number, since 5 + 1 + 0 + 84 + 6 + 566 + 4 = 666.

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, 1768029 + ... + 1770915.

Almost surely, 25108465664 is an apocalyptic number.

5108465664 is a gapful number since it is divisible by the number (54) 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 5108465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570660960).

5108465664 is an abundant number, since it is smaller than the sum of its proper divisors (10032856256).

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

5108465664 is an frugal number, since it uses more digits than its factorization.

5108465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5108465664 is about 71473.5312126104. The cubic root of 5108465664 is about 1722.2525094386.

The spelling of 5108465664 in words is "five billion, one hundred eight million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 2887 3072 3456 4096 4608 5774 6144 6912 8192 8661 9216 11548 12288 13824 16384 17322 18432 23096 24576 25983 27648 32768 34644 36864 46192 49152 51966 55296 65536 69288 73728 77949 92384 98304 103932 110592 138576 147456 155898 184768 196608 207864 221184 277152 294912 311796 369536 415728 442368 554304 589824 623592 739072 831456 884736 1108608 1247184 1478144 1662912 1769472 2217216 2494368 2956288 3325824 4434432 4988736 5912576 6651648 8868864 9977472 11825152 13303296 17737728 19954944 23650304 26606592 35475456 39909888 47300608 53213184 70950912 79819776 94601216 106426368 141901824 159639552 189202432 212852736 283803648 319279104 425705472 567607296 638558208 851410944 1277116416 1702821888 2554232832 5108465664