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55427586432 = 2734110933221
BaseRepresentation
bin110011100111101111…
…011101100110000000
312022001211210010111120
4303213233131212000
51402003430231212
641244005312240
74001355465621
oct634757354600
9168054703446
1055427586432
1121563478079
12a8aa705680
1352c437b42a
14297b4d7a48
15169610d88c
hexce7bdd980

55427586432 has 128 divisors (see below), whose sum is σ = 151005345120. Its totient is φ = 18003148800.

The previous prime is 55427586427. The next prime is 55427586443. The reversal of 55427586432 is 23468572455.

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

It is a congruent number.

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, 17206582 + ... + 17209802.

Almost surely, 255427586432 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 55427586432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75502672560).

55427586432 is an abundant number, since it is smaller than the sum of its proper divisors (95577758688).

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

55427586432 is a wasteful number, since it uses less digits than its factorization.

55427586432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4360 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 51.

The spelling of 55427586432 in words is "fifty-five billion, four hundred twenty-seven million, five hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1093 1312 1968 2186 2624 3221 3279 3936 4372 5248 6442 6558 7872 8744 9663 12884 13116 15744 17488 19326 25768 26232 34976 38652 44813 51536 52464 69952 77304 89626 103072 104928 132061 134439 139904 154608 179252 206144 209856 264122 268878 309216 358504 396183 412288 419712 528244 537756 618432 717008 792366 1056488 1075512 1236864 1434016 1584732 2112976 2151024 2868032 3169464 3520553 4225952 4302048 5736064 6338928 7041106 8451904 8604096 10561659 12677856 14082212 16903808 17208192 21123318 25355712 28164424 42246636 50711424 56328848 84493272 112657696 144342673 168986544 225315392 288685346 337973088 433028019 450630784 577370692 675946176 866056038 1154741384 1351892352 1732112076 2309482768 3464224152 4618965536 6928448304 9237931072 13856896608 18475862144 27713793216 55427586432