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55177754336 = 252929292207
BaseRepresentation
bin110011011000110110…
…011011011011100000
312021102102200100021222
4303120312123123200
51401001001114321
641203122434212
73662233113305
oct633066333340
9167372610258
1055177754336
1121445449571
12a83ab02968
1352846972a3
1429562630ac
15167e20e3ab
hexcd8d9b6e0

55177754336 has 72 divisors (see below), whose sum is σ = 112678413120. Its totient is φ = 26596806656.

The previous prime is 55177754323. The next prime is 55177754353. The reversal of 55177754336 is 63345777155.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25000145 + ... + 25002351.

It is an arithmetic number, because the mean of its divisors is an integer number (1564977960).

Almost surely, 255177754336 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 55177754336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56339206560).

55177754336 is an abundant number, since it is smaller than the sum of its proper divisors (57500658784).

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

55177754336 is a wasteful number, since it uses less digits than its factorization.

55177754336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3167 counting only the distinct ones).

The product of its digits is 9261000, while the sum is 53.

The spelling of 55177754336 in words is "fifty-five billion, one hundred seventy-seven million, seven hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 929 1682 1858 2207 3364 3716 4414 6728 7432 8828 13456 14864 17656 26912 26941 29728 35312 53882 64003 70624 107764 128006 215528 256012 431056 512024 781289 862112 1024048 1562578 1856087 2048096 2050303 3125156 3712174 4100606 6250312 7424348 8201212 12500624 14848696 16402424 25001248 29697392 32804848 59394784 59458787 65609696 118917574 237835148 475670296 951340592 1724304823 1902681184 3448609646 6897219292 13794438584 27588877168 55177754336