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55754000463 = 37194773139293
BaseRepresentation
bin110011111011001100…
…101000100001001111
312022220120222200101010
4303323030220201033
51403141011003323
641340225420303
74012431120210
oct637314504117
9168816880333
1055754000463
1121710752837
12a97ba9a693
135346b96c25
1429ac9c5407
1516b4ad8c93
hexcfb32884f

55754000463 has 128 divisors (see below), whose sum is σ = 93568204800. Its totient is φ = 28827436032.

The previous prime is 55754000447. The next prime is 55754000473. The reversal of 55754000463 is 36400045755.

It is not a de Polignac number, because 55754000463 - 24 = 55754000447 is a prime.

It is a super-3 number, since 3×557540004633 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55754000413) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 190286545 + ... + 190286837.

It is an arithmetic number, because the mean of its divisors is an integer number (731001600).

Almost surely, 255754000463 is an apocalyptic number.

55754000463 is a deficient number, since it is larger than the sum of its proper divisors (37814204337).

55754000463 is a wasteful number, since it uses less digits than its factorization.

55754000463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 55754000463 in words is "fifty-five billion, seven hundred fifty-four million, four hundred sixty-three", and thus it is an aban number.

Divisors: 1 3 7 19 21 47 57 73 133 139 141 219 293 329 399 417 511 879 893 973 987 1387 1533 2051 2641 2679 2919 3431 4161 5567 6153 6251 6533 7923 9709 10147 10293 13771 16701 18487 18753 19599 21389 24017 29127 30441 38969 40727 41313 45731 55461 64167 65189 71029 72051 96397 116907 122181 124127 137193 149723 192793 195567 213087 261649 285089 289191 372381 406391 449169 456323 476909 578379 773813 784947 855267 868889 1005283 1219173 1349551 1368969 1430727 1831543 1914169 2321439 2606667 2844737 2973071 3015849 3338363 4048653 5416691 5494629 5742507 7036981 8534211 8919213 9061271 10015089 13399183 16250073 19100377 20811497 21110943 27183813 36369211 40197549 56488349 57301131 62434491 63428897 109107633 133702639 139734337 169465047 190286691 254584477 395418443 401107917 419203011 763753431 978140359 1186255329 2654952403 2934421077 7964857209 18584666821 55754000463