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54319542417 = 32717378531607
BaseRepresentation
bin110010100101101100…
…100111000010010001
312012012121210122212100
4302211230213002101
51342221300324132
640542024151013
73632042330610
oct624554470221
9165177718770
1054319542417
1121044a69218
12a63b608469
13517894229a
1428b42a3877
15162dbd937c
hexca5b27091

54319542417 has 96 divisors (see below), whose sum is σ = 97686231552. Its totient is φ = 28373317632.

The previous prime is 54319542391. The next prime is 54319542421. The reversal of 54319542417 is 71424591345.

54319542417 is a `hidden beast` number, since 5 + 4 + 3 + 195 + 42 + 417 = 666.

It is not a de Polignac number, because 54319542417 - 27 = 54319542289 is a prime.

It is a super-2 number, since 2×543195424172 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54319542467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33801028 + ... + 33802634.

It is an arithmetic number, because the mean of its divisors is an integer number (1017564912).

Almost surely, 254319542417 is an apocalyptic number.

It is an amenable number.

54319542417 is a deficient number, since it is larger than the sum of its proper divisors (43366689135).

54319542417 is a wasteful number, since it uses less digits than its factorization.

54319542417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 54319542417 in words is "fifty-four billion, three hundred nineteen million, five hundred forty-two thousand, four hundred seventeen".

Divisors: 1 3 7 9 17 21 37 51 63 111 119 153 259 333 357 629 777 853 1071 1607 1887 2331 2559 4403 4821 5661 5971 7677 11249 13209 14463 14501 17913 27319 31561 33747 39627 43503 53739 59459 81957 94683 101241 101507 130509 178377 191233 220927 245871 284049 304521 416213 535131 536537 573699 662781 913563 1010803 1248639 1370771 1609611 1721097 1988343 3032409 3745917 3755759 4112313 4828833 7075621 9097227 9595397 11267277 12336939 21226863 23303107 28786191 33801831 50718527 63680589 69909321 86358573 152155581 163121749 209727963 355029689 456466743 489365247 862214959 1065089067 1468095741 2586644877 3195267201 6035504713 7759934631 18106514139 54319542417