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65628516352 = 21272978929
BaseRepresentation
bin111101000111110000…
…111011000000000000
320021101202122001122211
4331013300323000000
52033401400010402
650052130511504
74512223120240
oct750760730000
9207352561584
1065628516352
112591864a773
1210876a35594
13625b88a239
143268201b20
151a9195b4d7
hexf47c3b000

65628516352 has 104 divisors (see below), whose sum is σ = 155163751200. Its totient is φ = 27156283392.

The previous prime is 65628516311. The next prime is 65628516353. The reversal of 65628516352 is 25361582656.

It is a junction number, because it is equal to n+sod(n) for n = 65628516296 and 65628516305.

It is not an unprimeable number, because it can be changed into a prime (65628516353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792024 + ... + 870952.

Almost surely, 265628516352 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 65628516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77581875600).

65628516352 is an abundant number, since it is smaller than the sum of its proper divisors (89535234848).

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

65628516352 is an equidigital number, since it uses as much as digits as its factorization.

65628516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78989 (or 78967 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The spelling of 65628516352 in words is "sixty-five billion, six hundred twenty-eight million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 3248 3584 3712 4096 6496 7168 7424 12992 14336 14848 25984 28672 29696 51968 59392 78929 103936 118784 157858 207872 315716 415744 552503 631432 831488 1105006 1262864 2210012 2288941 2525728 4420024 4577882 5051456 8840048 9155764 10102912 16022587 17680096 18311528 20205824 32045174 35360192 36623056 40411648 64090348 70720384 73246112 80823296 128180696 141440768 146492224 161646592 256361392 282881536 292984448 323293184 512722784 565763072 585968896 1025445568 1131526144 1171937792 2050891136 2263052288 2343875584 4101782272 4687751168 8203564544 9375502336 16407129088 32814258176 65628516352