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55345314376 = 231117173213847
BaseRepresentation
bin110011100010110101…
…100111101001001000
312021212002222021110101
4303202311213221020
51401321400030001
641231510055144
73666336260452
oct634265475110
9167762867411
1055345314376
1121520a94940
12a88704a4b4
1352b0303b41
1429705dd2d2
15168dcaba01
hexce2d67a48

55345314376 has 64 divisors (see below), whose sum is σ = 120558948480. Its totient is φ = 23540167680.

The previous prime is 55345314361. The next prime is 55345314419. The reversal of 55345314376 is 67341354355.

55345314376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151885 + ... + 365731.

It is an arithmetic number, because the mean of its divisors is an integer number (1883733570).

Almost surely, 255345314376 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 55345314376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60279474240).

55345314376 is an abundant number, since it is smaller than the sum of its proper divisors (65213634104).

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

55345314376 is a wasteful number, since it uses less digits than its factorization.

55345314376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214054 (or 214050 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 46.

The spelling of 55345314376 in words is "fifty-five billion, three hundred forty-five million, three hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 173 187 346 374 692 748 1384 1496 1903 2941 3806 5882 7612 11764 15224 23528 32351 64702 129404 213847 258808 427694 855388 1710776 2352317 3635399 4704634 7270798 9409268 14541596 18818536 29083192 36995531 39989389 73991062 79978778 147982124 159957556 295964248 319915112 406950841 628924027 813901682 1257848054 1627803364 2515696108 3255606728 5031392216 6918164297 13836328594 27672657188 55345314376