Search a number
-
+
55120706732 = 227132193071997
BaseRepresentation
bin110011010101011100…
…110011110010101100
312021021110100000200202
4303111130303302230
51400341400103412
641153324013032
73660641163620
oct632534636254
9167243300622
1055120706732
1121416224893
12a823991178
135275912100
14294c853180
1516791e13c2
hexcd5733cac

55120706732 has 144 divisors (see below), whose sum is σ = 126129104640. Its totient is φ = 20580708096.

The previous prime is 55120706681. The next prime is 55120706737. The reversal of 55120706732 is 23760702155.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (55120706737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27600758 + ... + 27602754.

It is an arithmetic number, because the mean of its divisors is an integer number (875896560).

Almost surely, 255120706732 is an apocalyptic number.

55120706732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55120706732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63064552320).

55120706732 is an abundant number, since it is smaller than the sum of its proper divisors (71008397908).

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

55120706732 is a wasteful number, since it uses less digits than its factorization.

55120706732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 55120706732 in words is "fifty-five billion, one hundred twenty million, seven hundred six thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 307 338 364 494 532 614 676 988 1183 1228 1729 1997 2149 2366 3211 3458 3991 3994 4298 4732 5833 6422 6916 7982 7988 8596 11666 12844 13979 15964 22477 23332 25961 27937 27958 37943 40831 44954 51883 51922 55874 55916 75829 75886 81662 89908 103766 103844 111748 151658 151772 163324 181727 207532 265601 303316 337493 363181 363454 493259 530803 531202 613079 674986 726362 726908 985777 986518 1061606 1062404 1226158 1349972 1452724 1971554 1973036 2123212 2362451 2452316 3452813 3943108 4291553 4724902 6412367 6900439 6905626 7970027 8583106 9449804 11648501 12824734 13800878 13811252 15940054 17166212 23297002 25649468 27601756 31880108 44886569 46594004 55790189 81539507 89773138 103610351 111580378 151430513 163079014 179546276 207220702 223160756 302861026 326158028 414441404 605722052 725272457 1060013591 1450544914 1968596669 2120027182 2901089828 3937193338 4240054364 7874386676 13780176683 27560353366 55120706732