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797590030752 = 253223300140123
BaseRepresentation
bin10111001101101000001…
…00100000100110100000
32211020201102100121200100
423212310010200212200
5101031431021441002
61410224030222400
7111424011254424
oct13466404404640
92736642317610
10797590030752
1128828a863179
1210a6b3354a00
135a29b8b0178
142a86426cb84
1515b3194c11c
hexb9b41209a0

797590030752 has 144 divisors (see below), whose sum is σ = 2367609386688. Its totient is φ = 254212992000.

The previous prime is 797590030733. The next prime is 797590030777. The reversal of 797590030752 is 257030095797.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7975900307522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19858563 + ... + 19898685.

It is an arithmetic number, because the mean of its divisors is an integer number (16441731852).

Almost surely, 2797590030752 is an apocalyptic number.

797590030752 is a gapful number since it is divisible by the number (72) 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 797590030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183804693344).

797590030752 is an abundant number, since it is smaller than the sum of its proper divisors (1570019355936).

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

797590030752 is a wasteful number, since it uses less digits than its factorization.

797590030752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43163 (or 43152 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 797590030752 in words is "seven hundred ninety-seven billion, five hundred ninety million, thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3001 3312 6002 6624 9003 12004 18006 24008 27009 36012 40123 48016 54018 69023 72024 80246 96032 108036 120369 138046 144048 160492 207069 216072 240738 276092 288096 320984 361107 414138 432144 481476 552184 621207 641968 722214 828276 864288 922829 962952 1104368 1242414 1283936 1444428 1656552 1845658 1925904 2208736 2484828 2768487 2888856 3313104 3691316 3851808 4969656 5536974 5777712 6626208 7382632 8305461 9939312 11073948 11555424 14765264 16610922 19878624 22147896 29530528 33221844 44295792 66443688 88591584 120409123 132887376 240818246 265774752 361227369 481636492 722454738 963272984 1083682107 1444909476 1926545968 2167364214 2769409829 2889818952 3853091936 4334728428 5538819658 5779637904 8308229487 8669456856 11077639316 11559275808 16616458974 17338913712 22155278632 24924688461 33232917948 34677827424 44310557264 49849376922 66465835896 88621114528 99698753844 132931671792 199397507688 265863343584 398795015376 797590030752