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5167748656 = 24783631881
BaseRepresentation
bin1001101000000010…
…11001011000110000
3111100011000211110101
410310001121120300
541040420424111
62212442442144
7242030065420
oct46401313060
914304024411
105167748656
112212072064
121002803354
13644833255
1437048a480
15203a3ebc1
hex134059630

5167748656 has 80 divisors (see below), whose sum is σ = 11612256768. Its totient is φ = 2182118400.

The previous prime is 5167748633. The next prime is 5167748683. The reversal of 5167748656 is 6568477615.

It is a junction number, because it is equal to n+sod(n) for n = 5167748597 and 5167748606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865336 + ... + 5866216.

Almost surely, 25167748656 is an apocalyptic number.

5167748656 is a gapful number since it is divisible by the number (56) 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 5167748656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806128384).

5167748656 is an abundant number, since it is smaller than the sum of its proper divisors (6444508112).

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

5167748656 is a wasteful number, since it uses less digits than its factorization.

5167748656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The square root of 5167748656 is about 71887.0548569073. The cubic root of 5167748656 is about 1728.8890654549.

The spelling of 5167748656 in words is "five billion, one hundred sixty-seven million, seven hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 631 664 881 1162 1262 1328 1762 2324 2524 3524 4417 4648 5048 6167 7048 8834 9296 10096 12334 14096 17668 24668 35336 49336 52373 70672 73123 98672 104746 146246 209492 292492 366611 418984 511861 555911 584984 733222 837968 1023722 1111822 1169968 1466444 2047444 2223644 2932888 3891377 4094888 4447288 5865776 7782754 8189776 8894576 15565508 31131016 46140613 62262032 92281226 184562452 322984291 369124904 645968582 738249808 1291937164 2583874328 5167748656