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1046965000000 = 2657209393
BaseRepresentation
bin11110011110000111111…
…10100001011101000000
310201002101210100121210111
433033003332201131000
5114123141020000000
62120545153241104
7135432524444203
oct17170376413500
93632353317714
101046965000000
113740194a2587
1214aaaa563194
137796131b27a
143895da5d93a
151c379951cba
hexf3c3fa1740

1046965000000 has 112 divisors (see below), whose sum is σ = 2596969718928. Its totient is φ = 418784000000.

The previous prime is 1046964999989. The next prime is 1046965000009. The reversal of 1046965000000 is 5696401.

It can be written as a sum of positive squares in 8 ways, for example, as 862401966336 + 184563033664 = 928656^2 + 429608^2 .

It is a super-2 number, since 2×10469650000002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046965000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4895304 + ... + 5104696.

Almost surely, 21046965000000 is an apocalyptic number.

1046965000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046965000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298484859464).

1046965000000 is an abundant number, since it is smaller than the sum of its proper divisors (1550004718928).

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

1046965000000 is an frugal number, since it uses more digits than its factorization.

1046965000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209440 (or 209400 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 1046965000000 in words is "one trillion, forty-six billion, nine hundred sixty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 78125 100000 125000 156250 200000 209393 250000 312500 418786 500000 625000 837572 1000000 1046965 1250000 1675144 2093930 2500000 3350288 4187860 5000000 5234825 6700576 8375720 10469650 13401152 16751440 20939300 26174125 33502880 41878600 52348250 67005760 83757200 104696500 130870625 167514400 209393000 261741250 335028800 418786000 523482500 654353125 837572000 1046965000 1308706250 1675144000 2093930000 2617412500 3271765625 4187860000 5234825000 6543531250 8375720000 10469650000 13087062500 16358828125 20939300000 26174125000 32717656250 41878600000 52348250000 65435312500 104696500000 130870625000 209393000000 261741250000 523482500000 1046965000000