Search a number
-
+
54003417540996 = 223711228971834037
BaseRepresentation
bin11000100011101101001101…
…00001001110100110000100
321002012200021000120000222110
430101312212201032212010
524034242444342302441
6310504454425101020
714242422013146510
oct1421664641164604
9232180230500873
1054003417540996
11162307a2376900
126082283327770
132419667576601
14d49aca79d140
15639b45b89b16
hex311da684e984

54003417540996 has 144 divisors (see below), whose sum is σ = 158345734958208. Its totient is φ = 14022012195840.

The previous prime is 54003417540859. The next prime is 54003417541009. The reversal of 54003417540996 is 69904571430045.

It is a super-2 number, since 2×540034175409962 (a number of 28 digits) contains 22 as substring.

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, 28528090 + ... + 30362126.

It is an arithmetic number, because the mean of its divisors is an integer number (1099623159432).

Almost surely, 254003417540996 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 54003417540996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79172867479104).

54003417540996 is an abundant number, since it is smaller than the sum of its proper divisors (104342317417212).

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

54003417540996 is a wasteful number, since it uses less digits than its factorization.

54003417540996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836970 (or 1836957 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 54003417540996 in words is "fifty-four trillion, three billion, four hundred seventeen million, five hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 2897 3388 5082 5794 8691 10164 11588 17382 20279 31867 34764 40558 60837 63734 81116 95601 121674 127468 191202 223069 243348 350537 382404 446138 669207 701074 892276 1051611 1338414 1402148 1834037 2103222 2453759 2676828 3668074 4206444 4907518 5502111 7336148 7361277 9815036 11004222 12838259 14722554 20174407 22008444 25676518 29445108 38514777 40348814 51353036 60523221 77029554 80697628 121046442 141220849 154059108 221918477 242092884 282441698 423662547 443836954 564883396 665755431 847325094 887673908 1331510862 1553429339 1694650188 2663021724 3106858678 4660288017 5313205189 6213717356 9320576034 10626410378 15939615567 18641152068 21252820756 31879231134 37192436323 58445257079 63758462268 74384872646 111577308969 116890514158 148769745292 175335771237 223154617938 233781028316 350671542474 409116799553 446309235876 642897827869 701343084948 818233599106 1227350398659 1285795655738 1636467198212 1928693483607 2454700797318 2571591311476 3857386967214 4500284795083 4909401594636 7714773934428 9000569590166 13500854385249 18001139180332 27001708770498 54003417540996