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20493040901776 = 24683216572
BaseRepresentation
bin1001010100011011010000…
…11011000101111010010000
32200120010010020220101210121
410222031220123011322100
510141224221432324101
6111330212323440024
74213400441364202
oct452155033057220
980503106811717
1020493040901776
116591060377a93
12236b831b26014
13b586407499c1
1450bc23130772
1525810ea7e0a1
hex12a3686c5e90

20493040901776 has 45 divisors (see below), whose sum is σ = 39787497246441. Its totient is φ = 10225343500416.

The previous prime is 20493040901701. The next prime is 20493040901789. The reversal of 20493040901776 is 67710904039402.

The square root of 20493040901776 is 4526924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6525061536400 + 13967979365376 = 2554420^2 + 3737376^2 .

It is a super-3 number, since 3×204930409017763 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12367555540 + ... + 12367557196.

Almost surely, 220493040901776 is an apocalyptic number.

20493040901776 is the 4526924-th square number.

It is an amenable number.

20493040901776 is a deficient number, since it is larger than the sum of its proper divisors (19294456344665).

20493040901776 is an frugal number, since it uses more digits than its factorization.

20493040901776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 20493040901776 in words is "twenty trillion, four hundred ninety-three billion, forty million, nine hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 683 1366 1657 2732 3314 5464 6628 10928 13256 26512 466489 932978 1131731 1865956 2263462 2745649 3731912 4526924 5491298 7463824 9053848 10982596 18107696 21965192 43930384 772972273 1545944546 1875278267 3091889092 3750556534 6183778184 7501113068 12367556368 15002226136 30004452272 1280815056361 2561630112722 5123260225444 10246520450888 20493040901776