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54382130784 = 253371886511
BaseRepresentation
bin110010101001011011…
…010111011001100000
312012100222120110222000
4302221123113121200
51342333311141114
640552141444000
73633432325152
oct625133273140
9165328513860
1054382130784
1121077327843
12a658570600
1351888b7417
1428bc716ad2
15163444de09
hexca96d7660

54382130784 has 96 divisors (see below), whose sum is σ = 160848737280. Its totient is φ = 17872041600.

The previous prime is 54382130783. The next prime is 54382130849. The reversal of 54382130784 is 48703128345.

54382130784 is a `hidden beast` number, since 5 + 438 + 2 + 130 + 7 + 84 = 666.

54382130784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×543821307842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54382130783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381912 + ... + 504599.

It is an arithmetic number, because the mean of its divisors is an integer number (1675507680).

Almost surely, 254382130784 is an apocalyptic number.

54382130784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54382130784 is an abundant number, since it is smaller than the sum of its proper divisors (106466606496).

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

54382130784 is a wasteful number, since it uses less digits than its factorization.

54382130784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886601 (or 886587 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54382130784 in words is "fifty-four billion, three hundred eighty-two million, one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 886511 1773022 2659533 3546044 5319066 7092088 7978599 10638132 14184176 15957198 21276264 23935797 28368352 31914396 42552528 47871594 62942281 63828792 85105056 95743188 125884562 127657584 188826843 191486376 251769124 255315168 377653686 382972752 503538248 566480529 755307372 765945504 1007076496 1132961058 1510614744 1699441587 2014152992 2265922116 3021229488 3398883174 4531844232 6042458976 6797766348 9063688464 13595532696 18127376928 27191065392 54382130784