Search a number
-
+
1997491529250 = 238537229857
BaseRepresentation
bin11101000100010011110…
…001011110011000100010
321001221212121201100000000
4131010103301132120202
5230211330312414000
64125345051440430
7264212462566200
oct35042361363042
97057777640000
101997491529250
11700149991668
12283163a56116
1311649395a459
146c971676070
1536e5cb7c000
hex1d113c5e622

1997491529250 has 864 divisors, whose sum is σ = 6757226601840. Its totient is φ = 440311334400.

The previous prime is 1997491529227. The next prime is 1997491529273. The reversal of 1997491529250 is 529251947991.

1997491529250 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 491 + 5 + 2 + 92 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1997491529227) and next prime (1997491529273).

It can be written as a sum of positive squares in 8 ways, for example, as 374290674849 + 1623200854401 = 611793^2 + 1274049^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2330794822 + ... + 2330795678.

Almost surely, 21997491529250 is an apocalyptic number.

1997491529250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997491529250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378613300920).

1997491529250 is an abundant number, since it is smaller than the sum of its proper divisors (4759735072590).

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

1997491529250 is an frugal number, since it uses more digits than its factorization.

1997491529250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 1997491529250 in words is "one trillion, nine hundred ninety-seven billion, four hundred ninety-one million, five hundred twenty-nine thousand, two hundred fifty".