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1037404407045 = 35791639975387
BaseRepresentation
bin11110001100010100001…
…11110000010100000101
310200011201111102011211010
433012022013300110011
5113444101012011140
62112324344432433
7134643563652306
oct17061207602405
93604644364733
101037404407045
1136aa62819596
12149080778719
1376a9968c086
14382d3ddc7ad
151beba43d880
hexf18a1f0505

1037404407045 has 64 divisors (see below), whose sum is σ = 1693180293120. Its totient is φ = 542282128128.

The previous prime is 1037404407029. The next prime is 1037404407121. The reversal of 1037404407045 is 5407044047301.

It is not a de Polignac number, because 1037404407045 - 24 = 1037404407029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1037404406994 and 1037404407012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 192572842 + ... + 192578228.

It is an arithmetic number, because the mean of its divisors is an integer number (26455942080).

Almost surely, 21037404407045 is an apocalyptic number.

1037404407045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1037404407045 is a deficient number, since it is larger than the sum of its proper divisors (655775886075).

1037404407045 is a wasteful number, since it uses less digits than its factorization.

1037404407045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634.

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 1037404407045 in words is "one trillion, thirty-seven billion, four hundred four million, four hundred seven thousand, forty-five".

Divisors: 1 3 5 15 79 163 237 395 489 815 997 1185 2445 2991 4985 5387 12877 14955 16161 26935 38631 64385 78763 80805 162511 193155 236289 393815 425573 487533 812555 878081 1181445 1276719 2127865 2437665 2634243 4390405 5370839 6383595 12838369 13171215 16112517 26854195 38515107 64191845 69368399 80562585 192575535 208105197 346841995 424296281 875446757 1040525985 1272888843 2121481405 2626340271 4377233785 6364444215 13131701355 69160293803 207480881409 345801469015 1037404407045