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1015631268054 = 2313192191188843
BaseRepresentation
bin11101100011110000101…
…01110100100011010110
310121002112002102010010220
432301320111310203112
5113120003101034204
62054324034455210
7133243201224054
oct16617025644326
93532462363126
101015631268054
113617aa411a47
12144a04a34506
1374a0983a690
143722a4331d4
151b643bc31d9
hexec785748d6

1015631268054 has 96 divisors (see below), whose sum is σ = 2320805136384. Its totient is φ = 294502875840.

The previous prime is 1015631268011. The next prime is 1015631268089. The reversal of 1015631268054 is 4508621365101.

It is a junction number, because it is equal to n+sod(n) for n = 1015631267997 and 1015631268015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5283757 + ... + 5472599.

It is an arithmetic number, because the mean of its divisors is an integer number (24175053504).

Almost surely, 21015631268054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015631268054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160402568192).

1015631268054 is an abundant number, since it is smaller than the sum of its proper divisors (1305173868330).

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

1015631268054 is a wasteful number, since it uses less digits than its factorization.

1015631268054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189090 (or 189071 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1015631268054 in words is "one trillion, fifteen billion, six hundred thirty-one million, two hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 191 247 361 382 494 573 722 741 1083 1146 1482 2166 2483 3629 4693 4966 7258 7449 9386 10887 14079 14898 21774 28158 47177 68951 94354 137902 141531 188843 206853 283062 377686 413706 566529 896363 1133058 1792726 2454959 2689089 3588017 4909918 5378178 7176034 7364877 10764051 14729754 21528102 36069013 46644221 68172323 72138026 93288442 108207039 136344646 139932663 204516969 216414078 279865326 409033938 468897169 685311247 886240199 937794338 1370622494 1406691507 1772480398 2055933741 2658720597 2813383014 4111867482 5317441194 8909046211 13020913693 17818092422 26041827386 26727138633 39062741079 53454277266 78125482158 169271878009 338543756018 507815634027 1015631268054