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61881801696 = 253211131502569
BaseRepresentation
bin111001101000011100…
…010101101111100000
312220201122112020101100
4321220130111233200
52003213220123241
644232245434400
74320326431011
oct715034255740
9186648466340
1061881801696
1124275733580
12bbb010ba00
135ab258b710
142dd0781008
151922a689b6
hexe68715be0

61881801696 has 144 divisors (see below), whose sum is σ = 206741611440. Its totient is φ = 17309583360.

The previous prime is 61881801617. The next prime is 61881801697. The reversal of 61881801696 is 69610818816.

61881801696 is a `hidden beast` number, since 618 + 8 + 1 + 8 + 0 + 16 + 9 + 6 = 666.

61881801696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×618818016962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61881801697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710101 + ... + 792468.

It is an arithmetic number, because the mean of its divisors is an integer number (1435705635).

Almost surely, 261881801696 is an apocalyptic number.

61881801696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61881801696 is an abundant number, since it is smaller than the sum of its proper divisors (144859809744).

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

61881801696 is a wasteful number, since it uses less digits than its factorization.

61881801696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502609 (or 1502598 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 61881801696 in words is "sixty-one billion, eight hundred eighty-one million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 1502569 3005138 4507707 6010276 9015414 12020552 13523121 16528259 18030828 19533397 24041104 27046242 33056518 36061656 39066794 48082208 49584777 54092484 58600191 66113036 72123312 78133588 99169554 108184968 117200382 132226072 144246624 148754331 156267176 175800573 198339108 214867367 216369936 234400764 264452144 297508662 312534352 351601146 396678216 429734734 432739872 468801528 528904288 595017324 625068704 644602101 703202292 793356432 859469468 937603056 1190034648 1289204202 1406404584 1586712864 1718938936 1875206112 1933806303 2380069296 2578408404 2812809168 3437877872 3867612606 4760138592 5156816808 5625618336 6875755744 7735225212 10313633616 15470450424 20627267232 30940900848 61881801696