Search a number
-
+
55397765760 = 2735127227189
BaseRepresentation
bin110011100101111101…
…101101001010000000
312021222202200002020020
4303211331231022000
51401423312001020
641241022213440
74000544145111
oct634575551200
9167882602206
1055397765760
112154865a397
12a8a0724280
1352bb139c6c
142977574208
1516936bcc40
hexce5f6d280

55397765760 has 128 divisors (see below), whose sum is σ = 177971558400. Its totient is φ = 14656352256.

The previous prime is 55397765741. The next prime is 55397765849. The reversal of 55397765760 is 6756779355.

55397765760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 55397765694 and 55397765703.

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, 130246 + ... + 357434.

It is an arithmetic number, because the mean of its divisors is an integer number (1390402800).

Almost surely, 255397765760 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 55397765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88985779200).

55397765760 is an abundant number, since it is smaller than the sum of its proper divisors (122573792640).

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

55397765760 is a wasteful number, since it uses less digits than its factorization.

55397765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227338 (or 227326 counting only the distinct ones).

The product of its (nonzero) digits is 41674500, while the sum is 60.

The spelling of 55397765760 in words is "fifty-five billion, three hundred ninety-seven million, seven hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 320 381 384 480 508 635 640 762 960 1016 1270 1524 1905 1920 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 16256 20320 24384 30480 40640 48768 60960 81280 121920 227189 243840 454378 681567 908756 1135945 1363134 1817512 2271890 2726268 3407835 3635024 4543780 5452536 6815670 7270048 9087560 10905072 13631340 14540096 18175120 21810144 27262680 28853003 29080192 36350240 43620288 54525360 57706006 72700480 86559009 87240576 109050720 115412012 144265015 145400960 173118018 218101440 230824024 288530030 346236036 432795045 436202880 461648048 577060060 692472072 865590090 923296096 1154120120 1384944144 1731180180 1846592192 2308240240 2769888288 3462360360 3693184384 4616480480 5539776576 6924720720 9232960960 11079553152 13849441440 18465921920 27698882880 55397765760