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55123221420 = 223251920877723
BaseRepresentation
bin110011010101100110…
…011001101110101100
312021021122001210012100
4303111212121232230
51400343021041140
641153453535100
73661001436231
oct632546315654
9167248053170
1055123221420
1121417692143
12a8247a4490
1352762b28a7
14294cd09788
15167953b530
hexcd5999bac

55123221420 has 144 divisors (see below), whose sum is σ = 176114615040. Its totient is φ = 13917391488.

The previous prime is 55123221407. The next prime is 55123221427. The reversal of 55123221420 is 2412232155.

55123221420 is a `hidden beast` number, since 5 + 5 + 1 + 232 + 2 + 1 + 420 = 666.

It is not an unprimeable number, because it can be changed into a prime (55123221427) 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, 7133679 + ... + 7141401.

It is an arithmetic number, because the mean of its divisors is an integer number (1223018160).

Almost surely, 255123221420 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 55123221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88057307520).

55123221420 is an abundant number, since it is smaller than the sum of its proper divisors (120991393620).

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

55123221420 is a wasteful number, since it uses less digits than its factorization.

55123221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 55123221420 its reverse (2412232155), we get a palindrome (57535453575).

The spelling of 55123221420 in words is "fifty-five billion, one hundred twenty-three million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2087 3420 4174 6261 7723 8348 10435 12522 15446 18783 20870 23169 25044 30892 31305 37566 38615 39653 41740 46338 62610 69507 75132 77230 79306 92676 93915 115845 118959 125220 139014 146737 154460 158612 187830 198265 231690 237918 278028 293474 347535 356877 375660 396530 440211 463380 475836 586948 594795 695070 713754 733685 793060 880422 1189590 1320633 1390140 1427508 1467370 1760844 1784385 2201055 2379180 2641266 2934740 3568770 4402110 5282532 6603165 7137540 8804220 13206330 16117901 26412660 32235802 48353703 64471604 80589505 96707406 145061109 161179010 193414812 241768515 290122218 306240119 322358020 483537030 580244436 612480238 725305545 918720357 967074060 1224960476 1450611090 1531200595 1837440714 2756161071 2901222180 3062401190 3674881428 4593601785 5512322142 6124802380 9187203570 11024644284 13780805355 18374407140 27561610710 55123221420