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1299732430464 = 273213611422749
BaseRepresentation
bin10010111010011110000…
…101101111111010000000
311121020211120212111211100
4102322132011233322000
5132243323000233324
62433031104414400
7162621403242306
oct22723605577200
94536746774740
101299732430464
11461239089246
1218ba91917400
1395744842980
1446c9bc18276
1523c206c04c9
hex12e9e16fe80

1299732430464 has 192 divisors, whose sum is σ = 4093849305000. Its totient is φ = 393361367040.

The previous prime is 1299732430457. The next prime is 1299732430471. The reversal of 1299732430464 is 4640342379921.

1299732430464 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 7 + 324 + 304 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1299732430457) and next prime (1299732430471).

It can be written as a sum of positive squares in 4 ways, for example, as 704995329600 + 594737100864 = 839640^2 + 771192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1299732430464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202162 + ... + 1624910.

Almost surely, 21299732430464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1299732430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046924652500).

1299732430464 is an abundant number, since it is smaller than the sum of its proper divisors (2794116874536).

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

1299732430464 is a wasteful number, since it uses less digits than its factorization.

1299732430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422843 (or 1422828 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 1299732430464 in words is "one trillion, two hundred ninety-nine billion, seven hundred thirty-two million, four hundred thirty thousand, four hundred sixty-four".