Search a number
-
+
1306373868450 = 23652737711949
BaseRepresentation
bin10011000000101001111…
…100110100101110100010
311121212222102220112000000
4103000221330310232202
5132400423202242300
62440050113440430
7163245106444260
oct23005174645642
94555872815000
101306373868450
11464036a9a972
12191225b70116
1396262785531
144732bcb9430
1523ead7adc00
hex13029f34ba2

1306373868450 has 672 divisors, whose sum is σ = 4338541958400. Its totient is φ = 286290547200.

The previous prime is 1306373868431. The next prime is 1306373868469. The reversal of 1306373868450 is 548683736031.

1306373868450 is a `hidden beast` number, since 1 + 3 + 0 + 63 + 73 + 8 + 68 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (1306373868431) and next prime (1306373868469).

It is a super-2 number, since 2×13063738684502 (a number of 25 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 670278076 + ... + 670280024.

Almost surely, 21306373868450 is an apocalyptic number.

1306373868450 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 1306373868450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169270979200).

1306373868450 is an abundant number, since it is smaller than the sum of its proper divisors (3032168089950).

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

1306373868450 is a wasteful number, since it uses less digits than its factorization.

1306373868450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1306373868450 in words is "one trillion, three hundred six billion, three hundred seventy-three million, eight hundred sixty-eight thousand, four hundred fifty".