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1006002631604 = 22251500657901
BaseRepresentation
bin11101010001110100110…
…11011111001110110100
310120011200001102201001002
432220322123133032310
5112440243133202404
62050052355422432
7132452453164505
oct16507233371664
93504601381032
101006002631604
11358709293963
12142b782b4a18
1373b33a76369
143699573cbac
151b27d71dc1e
hexea3a6df3b4

1006002631604 has 6 divisors (see below), whose sum is σ = 1760504605314. Its totient is φ = 503001315800.

The previous prime is 1006002631603. The next prime is 1006002631649. The reversal of 1006002631604 is 4061362006001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 988393872400 + 17608759204 = 994180^2 + 132698^2 .

It is a super-3 number, since 3×10060026316043 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006002631603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125750328947 + ... + 125750328954.

It is an arithmetic number, because the mean of its divisors is an integer number (293417434219).

Almost surely, 21006002631604 is an apocalyptic number.

It is an amenable number.

1006002631604 is a deficient number, since it is larger than the sum of its proper divisors (754501973710).

1006002631604 is a wasteful number, since it uses less digits than its factorization.

1006002631604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251500657905 (or 251500657903 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 1006002631604 its reverse (4061362006001), we get a palindrome (5067364637605).

The spelling of 1006002631604 in words is "one trillion, six billion, two million, six hundred thirty-one thousand, six hundred four".

Divisors: 1 2 4 251500657901 503001315802 1006002631604