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203996489748480 = 2123551131323103
BaseRepresentation
bin101110011000100010100010…
…010011101001000000000000
3222202021212121010011111200000
4232120202202103221000000
5203214234302333422410
62001510405454400000
760653155120553322
oct5630424223510000
9882255533144600
10203996489748480
1159aaa475316000
121aa67a77800000
1389a9a2ba6bac0
1438536a8a97612
15188b63bcb4dc0
hexb988a24e9000

203996489748480 has 4992 divisors, whose sum is σ = 915173114978304. Its totient is φ = 43240870379520.

The previous prime is 203996489748479. The next prime is 203996489748481. The reversal of 203996489748480 is 84847984699302.

203996489748480 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 9 + 6 + 4 + 8 + 97 + 48 + 480 = 666.

203996489748480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203996489748479) and next prime (203996489748481).

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×2039964897484802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 203996489748480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203996489748481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1980548444109 + ... + 1980548444211.

It is an arithmetic number, because the mean of its divisors is an integer number (183327947712).

Almost surely, 2203996489748480 is an apocalyptic number.

203996489748480 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 203996489748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457586557489152).

203996489748480 is an abundant number, since it is smaller than the sum of its proper divisors (711176625229824).

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

203996489748480 is a wasteful number, since it uses less digits than its factorization.

203996489748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 203996489748480 in words is "two hundred three trillion, nine hundred ninety-six billion, four hundred eighty-nine million, seven hundred forty-eight thousand, four hundred eighty".