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19973457900 = 2235521126793
BaseRepresentation
bin10010100110100000…
…101100011111101100
31220112222120210100000
4102212200230133230
5311401201123100
613101540304300
71304650406454
oct224640543754
956488523300
1019973457900
11851a550600
123a550a2090
131b64043856
14d76976d64
157bd776900
hex4a682c7ec

19973457900 has 324 divisors, whose sum is σ = 71373714776. Its totient is φ = 4841337600.

The previous prime is 19973457887. The next prime is 19973457943. The reversal of 19973457900 is 975437991.

It is a happy number.

19973457900 is a `hidden beast` number, since 19 + 97 + 3 + 457 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×199734579003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 107 ways as a sum of consecutive naturals, for example, 2936904 + ... + 2943696.

Almost surely, 219973457900 is an apocalyptic number.

19973457900 is a gapful number since it is divisible by the number (10) 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 19973457900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686857388).

19973457900 is an abundant number, since it is smaller than the sum of its proper divisors (51400256876).

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

19973457900 is a wasteful number, since it uses less digits than its factorization.

19973457900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 19973457900 in words is "nineteen billion, nine hundred seventy-three million, four hundred fifty-seven thousand, nine hundred".