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55505611347056 = 241323172122393011
BaseRepresentation
bin11001001111011011010000…
…01111110101010001110000
321021112021200111020001212022
430213231220033311101300
524233400443001101211
6314014531551451012
714456101535626223
oct1447555017652160
9237467614201768
1055505611347056
111675a885639152
126285438b26a68
1324c82063331c0
14d9c6b35335ba
15663c6592abdb
hex327b683f5470

55505611347056 has 160 divisors (see below), whose sum is σ = 121014414581760. Its totient is φ = 24470843443200.

The previous prime is 55505611347019. The next prime is 55505611347091. The reversal of 55505611347056 is 65074311650555.

It is a super-3 number, since 3×555056113470563 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55505611346989 and 55505611347007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18434276591 + ... + 18434279601.

It is an arithmetic number, because the mean of its divisors is an integer number (756340091136).

Almost surely, 255505611347056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505611347056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60507207290880).

55505611347056 is an abundant number, since it is smaller than the sum of its proper divisors (65508803234704).

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

55505611347056 is a wasteful number, since it uses less digits than its factorization.

55505611347056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 53.

The spelling of 55505611347056 in words is "fifty-five trillion, five hundred five billion, six hundred eleven million, three hundred forty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1721 2239 2392 3011 3442 4478 4784 6022 6884 8956 12044 13768 17912 22373 24088 27536 29107 35824 39143 39583 44746 48176 51497 58214 69253 78286 79166 89492 102994 116428 138506 156572 158332 178984 205988 232856 277012 313144 316664 357968 411976 465712 514579 554024 626288 633328 669461 823952 900289 1029158 1108048 1338922 1800578 2058316 2677844 3601156 3853319 4116632 5181931 5355688 6741629 7202312 7706638 8233264 10363862 10711376 13483258 14404624 15413276 20727724 26966516 30826552 41455448 50093147 53933032 61653104 67365103 82910896 87641177 88626337 100186294 107866064 119184413 134730206 155057467 175282354 177252674 200372588 238368826 269460412 310114934 350564708 354505348 400745176 476737652 538920824 620229868 701129416 709010696 801490352 953475304 1077841648 1152142381 1240459736 1402258832 1418021392 1549397369 1906950608 2015747071 2304284762 2480919472 3098794738 4031494142 4608569524 6197589476 8062988284 9217139048 11602343509 12395178952 16125976568 18434278096 23204687018 24790357904 32251953136 46409374036 92818748072 150830465617 185637496144 266853900707 301660931234 533707801414 603321862468 1067415602828 1206643724936 2134831205656 2413287449872 3469100709191 4269662411312 6938201418382 13876402836764 27752805673528 55505611347056