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55339351387704 = 233617415450267
BaseRepresentation
bin11001001010100101100100…
…11000011010111000111000
321020221101112112210001000000
430211102302120122320320
524223134442423401304
6313410314055513000
714441064500402526
oct1445226230327070
9236841475701000
1055339351387704
11166a631818996a
126259178988760
1324b562b1abc27
14d946204a1316
1565e784605939
hex3254b261ae38

55339351387704 has 112 divisors (see below), whose sum is σ = 155660144604120. Its totient is φ = 18435851760960.

The previous prime is 55339351387603. The next prime is 55339351387729. The reversal of 55339351387704 is 40778315393355.

55339351387704 is a `hidden beast` number, since 5 + 5 + 3 + 39 + 3 + 513 + 87 + 7 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7428379 + ... + 12878645.

Almost surely, 255339351387704 is an apocalyptic number.

55339351387704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55339351387704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77830072302060).

55339351387704 is an abundant number, since it is smaller than the sum of its proper divisors (100320793216416).

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

55339351387704 is a wasteful number, since it uses less digits than its factorization.

55339351387704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452032 (or 5452013 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 55339351387704 in words is "fifty-five trillion, three hundred thirty-nine billion, three hundred fifty-one million, three hundred eighty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1741 1944 2916 3482 5223 5832 6964 10446 13928 15669 20892 31338 41784 47007 62676 94014 125352 141021 188028 282042 376056 423063 564084 846126 1128168 1269189 1692252 2538378 3384504 5076756 5450267 10153512 10900534 16350801 21801068 32701602 43602136 49052403 65403204 98104806 130806408 147157209 196209612 294314418 392419224 441471627 588628836 882943254 1177257672 1324414881 1765886508 2648829762 3531773016 3973244643 5297659524 7946489286 9488914847 10595319048 15892978572 18977829694 28466744541 31785957144 37955659388 56933489082 75911318776 85400233623 113866978164 170800467246 227733956328 256200700869 341600934492 512401401738 683201868984 768602102607 1024802803476 1537204205214 2049605606952 2305806307821 3074408410428 4611612615642 6148816820856 6917418923463 9223225231284 13834837846926 18446450462568 27669675693852 55339351387704