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203542811472 = 243721113605177
BaseRepresentation
bin1011110110010000011…
…0001101001101010000
3201110101020201011012010
42331210012031031100
511313323424431342
6233301204502520
720463660231300
oct2754406151520
9643336634163
10203542811472
117935a679970
12335460aaa40
131626a2c7c20
149bcc825600
1554644db29c
hex2f6418d350

203542811472 has 240 divisors, whose sum is σ = 718602881472. Its totient is φ = 48801392640.

The previous prime is 203542811449. The next prime is 203542811501. The reversal of 203542811472 is 274118245302.

It is a happy number.

It is a super-2 number, since 2×2035428114722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 203542811472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33748 + ... + 638924.

Almost surely, 2203542811472 is an apocalyptic number.

203542811472 is a gapful number since it is divisible by the number (22) 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 203542811472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359301440736).

203542811472 is an abundant number, since it is smaller than the sum of its proper divisors (515060070000).

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

203542811472 is a wasteful number, since it uses less digits than its factorization.

203542811472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605226 (or 605213 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 203542811472 in words is "two hundred three billion, five hundred forty-two million, eight hundred eleven thousand, four hundred seventy-two".