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5470344672 = 2531322919141
BaseRepresentation
bin1010001100000111…
…01101010111100000
3112010020102022011020
411012003231113200
542200402012142
62302452245440
7252363106512
oct50603552740
915106368136
105470344672
112357959a11
121088010880
1369242c850
1439c737bb2
152203b2cec
hex1460ed5e0

5470344672 has 96 divisors (see below), whose sum is σ = 15532584480. Its totient is φ = 1675745280.

The previous prime is 5470344667. The next prime is 5470344673. The reversal of 5470344672 is 2764430745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5470344673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276222 + ... + 295362.

It is an arithmetic number, because the mean of its divisors is an integer number (161797755).

Almost surely, 25470344672 is an apocalyptic number.

5470344672 is a gapful number since it is divisible by the number (52) 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 5470344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766292240).

5470344672 is an abundant number, since it is smaller than the sum of its proper divisors (10062239808).

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

5470344672 is a wasteful number, since it uses less digits than its factorization.

5470344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19396 (or 19388 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 5470344672 is about 73961.7784534688. The cubic root of 5470344672 is about 1761.9959140685.

The spelling of 5470344672 in words is "five billion, four hundred seventy million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 312 416 458 624 687 916 1248 1374 1832 2748 2977 3664 5496 5954 7328 8931 10992 11908 17862 19141 21984 23816 35724 38282 47632 57423 71448 76564 95264 114846 142896 153128 229692 248833 285792 306256 459384 497666 612512 746499 918768 995332 1492998 1837536 1990664 2985996 3981328 4383289 5971992 7962656 8766578 11943984 13149867 17533156 23887968 26299734 35066312 52599468 56982757 70132624 105198936 113965514 140265248 170948271 210397872 227931028 341896542 420795744 455862056 683793084 911724112 1367586168 1823448224 2735172336 5470344672