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55241505616 = 241119232924767
BaseRepresentation
bin110011011100101001…
…100111101101010000
312021120212122020121111
4303130221213231100
51401113311134431
641213321103104
73663636023143
oct633451475520
9167525566544
1055241505616
1121478431880
12a858327a94
13529495883b
1429608da05a
151684b037b1
hexcdca67b50

55241505616 has 160 divisors (see below), whose sum is σ = 132677222400. Its totient is φ = 21968432640.

The previous prime is 55241505563. The next prime is 55241505617. The reversal of 55241505616 is 61650514255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55241505617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218065 + ... + 2242831.

It is an arithmetic number, because the mean of its divisors is an integer number (829232640).

Almost surely, 255241505616 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 55241505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66338611200).

55241505616 is an abundant number, since it is smaller than the sum of its proper divisors (77435716784).

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

55241505616 is a wasteful number, since it uses less digits than its factorization.

55241505616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24857 (or 24851 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 55241505616 in words is "fifty-five billion, two hundred forty-one million, five hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 23 29 38 44 46 58 76 88 92 116 152 176 184 209 232 253 304 319 368 418 437 464 506 551 638 667 836 874 1012 1102 1276 1334 1672 1748 2024 2204 2552 2668 3344 3496 4048 4408 4807 5104 5336 6061 6992 7337 8816 9614 10672 12122 12673 14674 19228 24244 24767 25346 29348 38456 48488 49534 50692 58696 76912 96976 99068 101384 117392 139403 198136 202768 272437 278806 396272 470573 544874 557612 569641 718243 941146 1089748 1115224 1139282 1436486 1882292 2179496 2230448 2278564 2872972 3764584 4358992 4557128 5176303 5745944 6266051 7529168 7900673 9114256 10352606 10823179 11491888 12532102 13646617 15801346 16519589 20705212 21646358 25064204 27293234 31602692 33039178 41410424 43292716 50128408 54586468 63205384 66078356 82820848 86585432 100256816 109172936 119054969 126410768 132156712 150112787 173170864 181715479 218345872 238109938 264313424 300225574 313872191 363430958 476219876 600451148 627744382 726861916 952439752 1200902296 1255488764 1453723832 1904879504 2401804592 2510977528 2907447664 3452594101 5021955056 6905188202 13810376404 27620752808 55241505616