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1053676986040 = 23572887606077
BaseRepresentation
bin11110101010101000000…
…10101101111010111000
310201201201120010211201001
433111110002231322320
5114230412302023130
62124015202334344
7136061045414500
oct17252402557270
93651646124631
101053676986040
11376953209a88
1215026235a3b4
1378490a61c43
1438dd9246a00
151c61dd286ca
hexf5540adeb8

1053676986040 has 96 divisors (see below), whose sum is σ = 2760951964320. Its totient is φ = 360852801792.

The previous prime is 1053676986031. The next prime is 1053676986059. The reversal of 1053676986040 is 406896763501.

It is a super-2 number, since 2×10536769860402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1435482 + ... + 2041558.

It is an arithmetic number, because the mean of its divisors is an integer number (28759916295).

Almost surely, 21053676986040 is an apocalyptic number.

1053676986040 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 1053676986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380475982160).

1053676986040 is an abundant number, since it is smaller than the sum of its proper divisors (1707274978280).

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

1053676986040 is a wasteful number, since it uses less digits than its factorization.

1053676986040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606989 (or 606978 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 1053676986040 in words is "one trillion, fifty-three billion, six hundred seventy-six million, nine hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 887 980 1774 1960 3548 4435 6209 7096 8870 12418 17740 24836 31045 35480 43463 49672 62090 86926 124180 173852 217315 248360 347704 434630 606077 869260 1212154 1738520 2424308 3030385 4242539 4848616 6060770 8485078 12121540 16970156 21212695 24243080 29697773 33940312 42425390 59395546 84850780 118791092 148488865 169701560 237582184 296977730 537590299 593955460 1075180598 1187910920 2150361196 2687951495 3763132093 4300722392 5375902990 7526264186 10751805980 15052528372 18815660465 21503611960 26341924651 30105056744 37631320930 52683849302 75262641860 105367698604 131709623255 150525283720 210735397208 263419246510 526838493020 1053676986040