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20833217496 = 23347213411231
BaseRepresentation
bin10011011001110000…
…011010101111011000
31222202220101002210000
4103121300122233120
5320131300424441
613323132053000
71335160266300
oct233160325730
958686332700
1020833217496
118920898723
124055004160
131c701bb140
141018c1a600
1581dea52b6
hex4d9c1abd8

20833217496 has 480 divisors, whose sum is σ = 74944457280. Its totient is φ = 5356108800.

The previous prime is 20833217459. The next prime is 20833217507. The reversal of 20833217496 is 69471233802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16923201 + ... + 16924431.

It is an arithmetic number, because the mean of its divisors is an integer number (156134286).

Almost surely, 220833217496 is an apocalyptic number.

20833217496 is a gapful number since it is divisible by the number (26) 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 20833217496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37472228640).

20833217496 is an abundant number, since it is smaller than the sum of its proper divisors (54111239784).

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

20833217496 is a wasteful number, since it uses less digits than its factorization.

20833217496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20833217496 in words is "twenty billion, eight hundred thirty-three million, two hundred seventeen thousand, four hundred ninety-six".