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55172418336 = 2532729943699
BaseRepresentation
bin110011011000100010…
…000100101100100000
312021102001122020200100
4303120202010230200
51400443114341321
641202412222400
73662136550410
oct633042045440
9167361566610
1055172418336
1121442434552
12a83916aa00
1352835495a9
142955674640
15167da08326
hexcd8884b20

55172418336 has 144 divisors (see below), whose sum is σ = 185493672000. Its totient is φ = 15219961344.

The previous prime is 55172418313. The next prime is 55172418337. The reversal of 55172418336 is 63381427155.

It is a happy number.

55172418336 is a `hidden beast` number, since 5 + 517 + 24 + 1 + 83 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55172418291 and 55172418300.

It is not an unprimeable number, because it can be changed into a prime (55172418337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413386 + ... + 530313.

It is an arithmetic number, because the mean of its divisors is an integer number (1288150500).

Almost surely, 255172418336 is an apocalyptic number.

55172418336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55172418336 is an abundant number, since it is smaller than the sum of its proper divisors (130321253664).

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

55172418336 is a wasteful number, since it uses less digits than its factorization.

55172418336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943751 (or 943740 counting only the distinct ones).

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

The spelling of 55172418336 in words is "fifty-five billion, one hundred seventy-two million, four hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 943699 1887398 2831097 3774796 5662194 6605893 7549592 8493291 11324388 13211786 15099184 16986582 19817679 22648776 26423572 27367271 30198368 33973164 39635358 45297552 52847144 54734542 59453037 67946328 79270716 82101813 90595104 105694288 109469084 118906074 135892656 158541432 164203626 191570897 211388576 218938168 237812148 246305439 271785312 317082864 328407252 383141794 437876336 475624296 492610878 574712691 634165728 656814504 766283588 875752672 951248592 985221756 1149425382 1313629008 1532567176 1724138073 1902497184 1970443512 2298850764 2627258016 3065134352 3448276146 3940887024 4597701528 6130268704 6896552292 7881774048 9195403056 13793104584 18390806112 27586209168 55172418336