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28563665913160 = 2357891579772559
BaseRepresentation
bin1100111111010011111110…
…01010010000010101001000
310202010122210222201002222021
412133221333022100111020
512220441341433210120
6140425544510534224
76005441161162630
oct637517712202510
9122118728632867
1028563665913160
119112867833624
1232539b5b07374
1312c2708100511
1470a6bb3dd6c0
15348016e13aaa
hex19fa7f290548

28563665913160 has 128 divisors (see below), whose sum is σ = 74280426624000. Its totient is φ = 9682473867264.

The previous prime is 28563665913151. The next prime is 28563665913161. The reversal of 28563665913160 is 6131956636582.

It is a super-2 number, since 2×285636659131602 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28563665913161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393624961 + ... + 393697519.

It is an arithmetic number, because the mean of its divisors is an integer number (580315833000).

Almost surely, 228563665913160 is an apocalyptic number.

28563665913160 is a gapful number since it is divisible by the number (20) 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 28563665913160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140213312000).

28563665913160 is an abundant number, since it is smaller than the sum of its proper divisors (45716760710840).

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

28563665913160 is a wasteful number, since it uses less digits than its factorization.

28563665913160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88463 (or 88459 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 28563665913160 in words is "twenty-eight trillion, five hundred sixty-three billion, six hundred sixty-five million, nine hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 15797 24920 31594 63188 72559 78985 110579 126376 145118 157970 221158 290236 315940 362795 442316 507913 552895 580472 631880 725590 884632 1015826 1105790 1405933 1451180 2031652 2211580 2539565 2811866 2902360 4063304 4423160 5079130 5623732 6457751 7029665 9841531 10158260 11247464 12915502 14059330 19683062 20316520 25831004 28118660 32288755 39366124 45204257 49207655 51662008 56237320 64577510 78732248 90408514 98415310 129155020 180817028 196830620 226021285 258310040 361634056 393661240 452042570 904085140 1146214523 1808170280 2292429046 4584858092 5731072615 8023501661 9169716184 11462145230 16047003322 22924290460 32094006644 40117508305 45848580920 64188013288 80235016610 102013092547 160470033220 204026185094 320940066440 408052370188 510065462735 714091647829 816104740376 1020130925470 1428183295658 2040261850940 2856366591316 3570458239145 4080523701880 5712733182632 7140916478290 14281832956580 28563665913160