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1054514036136 = 23311191911100681
BaseRepresentation
bin11110101100001011110…
…11110011110110101000
310201210212220012101120110
433112011323303312220
5114234121043124021
62124234223254320
7136120561262001
oct17260573636650
93653786171513
101054514036136
11377242756120
1215045674a3a0
13785952b7a62
14390784981a8
151c66c56d476
hexf585ef3da8

1054514036136 has 128 divisors (see below), whose sum is σ = 3043165593600. Its totient is φ = 301146048000.

The previous prime is 1054514036083. The next prime is 1054514036183. The reversal of 1054514036136 is 6316304154501.

It is a super-2 number, since 2×10545140361362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054514036094 and 1054514036103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407716 + ... + 1508396.

It is an arithmetic number, because the mean of its divisors is an integer number (23774731200).

Almost surely, 21054514036136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054514036136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521582796800).

1054514036136 is an abundant number, since it is smaller than the sum of its proper divisors (1988651557464).

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

1054514036136 is a wasteful number, since it uses less digits than its factorization.

1054514036136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100911 (or 1100907 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1054514036136 in words is "one trillion, fifty-four billion, five hundred fourteen million, thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 191 209 228 264 382 418 456 573 627 764 836 1146 1254 1528 1672 2101 2292 2508 3629 4202 4584 5016 6303 7258 8404 10887 12606 14516 16808 21774 25212 29032 39919 43548 50424 79838 87096 119757 159676 239514 319352 479028 958056 1100681 2201362 3302043 4402724 6604086 8805448 12107491 13208172 20912939 24214982 26416344 36322473 41825878 48429964 62738817 72644946 83651756 96859928 125477634 145289892 167303512 210230071 230042329 250955268 290579784 420460142 460084658 501910536 630690213 690126987 840920284 920169316 1261380426 1380253974 1681840568 1840338632 2312530781 2522760852 2760507948 3994371349 4625061562 5045521704 5521015896 6937592343 7988742698 9250123124 11983114047 13875184686 15977485396 18500246248 23966228094 27750369372 31954970792 43938084839 47932456188 55500738744 87876169678 95864912376 131814254517 175752339356 263628509034 351504678712 527257018068 1054514036136