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55738209791808 = 2632611586356153
BaseRepresentation
bin11001010110001100100000…
…01100011110111101000000
321022100112001200020022211100
430223012100030132331000
524301203323201314213
6314313440255414400
714511644541034605
oct1453062014367500
9238315050208740
1055738209791808
111683a495376385
126302531824400
13251412416452b
14da9a5abb86ac
15669d2ab9d773
hex32b19031ef40

55738209791808 has 84 divisors (see below), whose sum is σ = 162382588635748. Its totient is φ = 18274822871040.

The previous prime is 55738209791807. The next prime is 55738209791809. The reversal of 55738209791808 is 80819790283755.

55738209791808 is a `hidden beast` number, since 557 + 38 + 20 + 9 + 7 + 9 + 18 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55738209791807) and next prime (55738209791809).

It can be written as a sum of positive squares in 2 ways, for example, as 1556126512704 + 54182083279104 = 1247448^2 + 7360848^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55738209791807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793142941 + ... + 793213212.

Almost surely, 255738209791808 is an apocalyptic number.

It is an amenable number.

55738209791808 is an abundant number, since it is smaller than the sum of its proper divisors (106644378843940).

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

55738209791808 is a wasteful number, since it uses less digits than its factorization.

55738209791808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586356232 (or 1586356219 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 55738209791808 in words is "fifty-five trillion, seven hundred thirty-eight billion, two hundred nine million, seven hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 1586356153 3172712306 4759068459 6345424612 9518136918 12690849224 14277205377 19036273836 25381698448 28554410754 38072547672 50763396896 57108821508 76145095344 96767725333 101526793792 114217643016 152290190688 193535450666 228435286032 290303175999 304580381376 387070901332 456870572064 580606351998 774141802664 870909527997 913741144128 1161212703996 1548283605328 1741819055994 2322425407992 3096567210656 3483638111988 4644850815984 6193134421312 6967276223976 9289701631968 13934552447952 18579403263936 27869104895904 55738209791808