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54221360885888 = 2771391492921873
BaseRepresentation
bin11000101010000011001001…
…11101000111000010000000
321002222111210212102002022012
430111001210331013002000
524101330321341322023
6311152541015232052
714264235604052420
oct1425014475070200
9232874725362265
1054221360885888
1116305171743659
1260b8568078628
13243408b14a711
14d56483960480
1564064e525978
hex315064f47080

54221360885888 has 128 divisors (see below), whose sum is σ = 125173082160000. Its totient is φ = 22915704471552.

The previous prime is 54221360885873. The next prime is 54221360885897. The reversal of 54221360885888 is 88858806312245.

It is a happy number.

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

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 17096120 + ... + 20017992.

It is an arithmetic number, because the mean of its divisors is an integer number (977914704375).

Almost surely, 254221360885888 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 54221360885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586541080000).

54221360885888 is an abundant number, since it is smaller than the sum of its proper divisors (70951721274112).

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

54221360885888 is a wasteful number, since it uses less digits than its factorization.

54221360885888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922182 (or 2922170 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 68.

The spelling of 54221360885888 in words is "fifty-four trillion, two hundred twenty-one billion, three hundred sixty million, eight hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 149 224 278 298 448 556 596 896 973 1043 1112 1192 1946 2086 2224 2384 3892 4172 4448 4768 7784 8344 8896 9536 15568 16688 17792 19072 20711 31136 33376 41422 62272 66752 82844 124544 133504 144977 165688 289954 331376 579908 662752 1159816 1325504 2319632 2651008 2921873 4639264 5843746 9278528 11687492 18557056 20453111 23374984 40906222 46749968 81812444 93499936 163624888 186999872 327249776 373999744 406140347 435359077 654499552 812280694 870718154 1308999104 1624561388 1741436308 2617998208 2842982429 3047513539 3249122776 3482872616 5685964858 6095027078 6498245552 6965745232 11371929716 12190054156 12996491104 13931490464 22743859432 24380108312 25992982208 27862980928 45487718864 48760216624 51985964416 55725961856 60514911703 90975437728 97520433248 121029823406 181950875456 195040866496 242059646812 363901750912 390081732992 423604381921 484119293624 847208763842 968238587248 1694417527684 1936477174496 3388835055368 3872954348992 6777670110736 7745908697984 13555340221472 27110680442944 54221360885888