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55436608980 = 22345113302833
BaseRepresentation
bin110011101000010001…
…111000010111010100
312022002110202112010000
4303220101320113110
51402013232441410
641244530531300
74001525254464
oct635021702724
9168073675100
1055436608980
112156857a925
12a8b1736b30
1352c61ba10c
14297c7a5ba4
151696ce1dc0
hexce84785d4

55436608980 has 120 divisors (see below), whose sum is σ = 175446272232. Its totient is φ = 14652223488.

The previous prime is 55436608967. The next prime is 55436608999. The reversal of 55436608980 is 8980663455.

It is a happy number.

55436608980 is a `hidden beast` number, since 5 + 543 + 6 + 6 + 0 + 8 + 98 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5021989956 + 50414619024 = 70866^2 + 224532^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31644 + ... + 334476.

Almost surely, 255436608980 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 55436608980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87723136116).

55436608980 is an abundant number, since it is smaller than the sum of its proper divisors (120009663252).

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

55436608980 is a wasteful number, since it uses less digits than its factorization.

55436608980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302967 (or 302956 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 55436608980 in words is "fifty-five billion, four hundred thirty-six million, six hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 270 324 339 405 452 540 565 678 810 1017 1130 1356 1620 1695 2034 2260 3051 3390 4068 5085 6102 6780 9153 10170 12204 15255 18306 20340 30510 36612 45765 61020 91530 183060 302833 605666 908499 1211332 1514165 1816998 2725497 3028330 3633996 4542495 5450994 6056660 8176491 9084990 10901988 13627485 16352982 18169980 24529473 27254970 32705964 34220129 40882455 49058946 54509940 68440258 81764910 98117892 102660387 122647365 136880516 163529820 171100645 205320774 245294730 307981161 342201290 410641548 490589460 513301935 615962322 684402580 923943483 1026603870 1231924644 1539905805 1847886966 2053207740 2771830449 3079811610 3695773932 4619717415 5543660898 6159623220 9239434830 11087321796 13859152245 18478869660 27718304490 55436608980