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10054741317336 = 2334176411423931
BaseRepresentation
bin1001001001010000110101…
…0010001101011011011000
31022121020001012200022010000
42102110031102031123120
52304214102234123321
633215030121253000
72055300602020542
oct222241522153330
938536035608100
1010054741317336
11322721238aa51
121164814634160
1357c209294361
1426a91b424692
15126830b92826
hex9250d48d6d8

10054741317336 has 160 divisors (see below), whose sum is σ = 29865749118480. Its totient is φ = 3149505331200.

The previous prime is 10054741317311. The next prime is 10054741317349. The reversal of 10054741317336 is 63371314745001.

10054741317336 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 474 + 1 + 3 + 173 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10054741317291 and 10054741317300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6349291 + ... + 7773221.

Almost surely, 210054741317336 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 10054741317336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932874559240).

10054741317336 is an abundant number, since it is smaller than the sum of its proper divisors (19811007801144).

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

10054741317336 is a wasteful number, since it uses less digits than its factorization.

10054741317336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424607 (or 1424594 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10054741317336 in words is "ten trillion, fifty-four billion, seven hundred forty-one million, three hundred seventeen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 641 648 918 1224 1282 1377 1836 1923 2564 2754 3672 3846 5128 5508 5769 7692 10897 11016 11538 15384 17307 21794 23076 32691 34614 43588 46152 51921 65382 69228 87176 98073 103842 130764 138456 196146 207684 261528 294219 392292 415368 588438 784584 882657 1176876 1423931 1765314 2353752 2847862 3530628 4271793 5695724 7061256 8543586 11391448 12815379 17087172 24206827 25630758 34174344 38446137 48413654 51261516 72620481 76892274 96827308 102523032 115338411 145240962 153784548 193654616 217861443 230676822 290481924 307569096 435722886 461353644 580963848 653584329 871445772 912739771 922707288 1307168658 1742891544 1825479542 1960752987 2614337316 2738219313 3650959084 3921505974 5228674632 5476438626 7301918168 7843011948 8214657939 10952877252 15516576107 15686023896 16429315878 21905754504 24643973817 31033152214 32858631756 46549728321 49287947634 62066304428 65717263512 73931921451 93099456642 98575895268 124132608856 139649184963 147863842902 186198913284 197151790536 279298369926 295727685804 372397826568 418947554889 558596739852 591455371608 837895109778 1117193479704 1256842664667 1675790219556 2513685329334 3351580439112 5027370658668 10054741317336