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20813334848 = 267326916561
BaseRepresentation
bin10011011000100100…
…100100100101000000
31222201111221221220122
4103120210210211000
5320111203203343
613321141555412
71334526266345
oct233044444500
958644857818
1020813334848
118910648589
12404a415b68
131c69049267
1410163227cc
1581c379068
hex4d8924940

20813334848 has 56 divisors (see below), whose sum is σ = 42025412520. Its totient is φ = 10225336320.

The previous prime is 20813334827. The next prime is 20813334851. The reversal of 20813334848 is 84843331802.

It can be written as a sum of positive squares in 4 ways, for example, as 320839744 + 20492495104 = 17912^2 + 143152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20813334799 and 20813334808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1248488 + ... + 1265048.

It is an arithmetic number, because the mean of its divisors is an integer number (750453795).

Almost surely, 220813334848 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 20813334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012706260).

20813334848 is an abundant number, since it is smaller than the sum of its proper divisors (21212077672).

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

20813334848 is a wasteful number, since it uses less digits than its factorization.

20813334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16915 (or 16905 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 20813334848 in words is "twenty billion, eight hundred thirteen million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 269 292 538 584 1076 1168 2152 2336 4304 4672 8608 16561 17216 19637 33122 39274 66244 78548 132488 157096 264976 314192 529952 628384 1059904 1208953 1256768 2417906 4454909 4835812 8909818 9671624 17819636 19343248 35639272 38686496 71278544 77372992 142557088 285114176 325208357 650416714 1300833428 2601666856 5203333712 10406667424 20813334848