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5373132128 = 2571310118269
BaseRepresentation
bin1010000000100001…
…10111110101100000
3111212110111101121122
411000100313311200
542001010212003
62245100511412
7250102604150
oct50020676540
914773441548
105373132128
112307aa1771
12105b54b568
13678253a30
1438d870760
15216aae238
hex140437d60

5373132128 has 96 divisors (see below), whose sum is σ = 13149138240. Its totient is φ = 2104473600.

The previous prime is 5373132101. The next prime is 5373132139. The reversal of 5373132128 is 8212313735.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284978 + ... + 303246.

It is an arithmetic number, because the mean of its divisors is an integer number (136970190).

Almost surely, 25373132128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5373132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574569120).

5373132128 is an abundant number, since it is smaller than the sum of its proper divisors (7776006112).

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

5373132128 is a wasteful number, since it uses less digits than its factorization.

5373132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 18392 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 5373132128 is about 73301.6516048581. The cubic root of 5373132128 is about 1751.4960950828.

The spelling of 5373132128 in words is "five billion, three hundred seventy-three million, one hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 101 104 112 182 202 208 224 364 404 416 707 728 808 1313 1414 1456 1616 2626 2828 2912 3232 5252 5656 9191 10504 11312 18269 18382 21008 22624 36538 36764 42016 73076 73528 127883 146152 147056 237497 255766 292304 294112 474994 511532 584608 949988 1023064 1662479 1845169 1899976 2046128 3324958 3690338 3799952 4092256 6649916 7380676 7599904 12916183 13299832 14761352 23987197 25832366 26599664 29522704 47974394 51664732 53199328 59045408 95948788 103329464 167910379 191897576 206658928 335820758 383795152 413317856 671641516 767590304 1343283032 2686566064 5373132128