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55342361544 = 233171916771049
BaseRepresentation
bin110011100010101010…
…010110101111001000
312021211220102020221020
4303202222112233020
51401320121032134
641231322512440
73666302211561
oct634252265710
9167756366836
1055342361544
112151a358388
12a886065720
1352ac80bac2
142970071168
15168d8c6b49
hexce2a96bc8

55342361544 has 128 divisors (see below), whose sum is σ = 147619584000. Its totient is φ = 17229455360.

The previous prime is 55342361531. The next prime is 55342361593. The reversal of 55342361544 is 44516324355.

55342361544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55342361496 and 55342361505.

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, 52756732 + ... + 52757780.

It is an arithmetic number, because the mean of its divisors is an integer number (1153278000).

Almost surely, 255342361544 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 55342361544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73809792000).

55342361544 is an abundant number, since it is smaller than the sum of its proper divisors (92277222456).

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

55342361544 is a wasteful number, since it uses less digits than its factorization.

55342361544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

Adding to 55342361544 its reverse (44516324355), we get a palindrome (99858685899).

The spelling of 55342361544 in words is "fifty-five billion, three hundred forty-two million, three hundred sixty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 191 204 382 408 573 677 764 1049 1146 1354 1528 2031 2098 2292 2708 3147 3247 4062 4196 4584 5416 6294 6494 8124 8392 9741 11509 12588 12988 16248 17833 19482 23018 25176 25976 34527 35666 38964 46036 53499 69054 71332 77928 92072 106998 129307 138108 142664 200359 213996 258614 276216 387921 400718 427992 517228 601077 710173 775842 801436 1034456 1202154 1420346 1551684 1602872 2130519 2198219 2404308 2840692 3103368 3406103 4261038 4396438 4808616 5681384 6594657 6812206 8522076 8792876 10218309 12072941 13189314 13624412 17044152 17585752 20436618 24145882 26378628 27248824 36218823 40873236 48291764 52757256 72437646 81746472 96583528 135643043 144875292 271286086 289750584 406929129 542572172 813858258 1085144344 1627716516 2305931731 3255433032 4611863462 6917795193 9223726924 13835590386 18447453848 27671180772 55342361544