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54919462428 = 22331078775419
BaseRepresentation
bin110011001001011101…
…000111111000011100
312020202102122202102000
4303021131013320130
51344433340244203
641121334402300
73652645504545
oct631135077034
9166672582360
1054919462428
1121322671a86
12a788500390
13524301063c
14292dc294cc
1516666dd4a3
hexcc9747e1c

54919462428 has 96 divisors (see below), whose sum is σ = 143904902400. Its totient is φ = 18111377088.

The previous prime is 54919462373. The next prime is 54919462441. The reversal of 54919462428 is 82426491945.

54919462428 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 9 + 4 + 624 + 2 + 8 = 666.

It is a super-2 number, since 2×549194624282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 10131903 + ... + 10137321.

It is an arithmetic number, because the mean of its divisors is an integer number (1499009400).

Almost surely, 254919462428 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 54919462428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71952451200).

54919462428 is an abundant number, since it is smaller than the sum of its proper divisors (88985439972).

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

54919462428 is a wasteful number, since it uses less digits than its factorization.

54919462428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6408 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 54919462428 in words is "fifty-four billion, nine hundred nineteen million, four hundred sixty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 877 963 1284 1754 1926 2631 2889 3508 3852 5262 5419 5778 7893 10524 10838 11556 15786 16257 21676 23679 31572 32514 47358 48771 65028 93839 94716 97542 146313 187678 195084 281517 292626 375356 563034 579833 585252 844551 1126068 1159666 1689102 1739499 2319332 2533653 3378204 3478998 4752463 5067306 5218497 6957996 9504926 10134612 10436994 14257389 15655491 19009852 20873988 28514778 31310982 42772167 57029556 62621964 85544334 128316501 171088668 256633002 508513541 513266004 1017027082 1525540623 2034054164 3051081246 4576621869 6102162492 9153243738 13729865607 18306487476 27459731214 54919462428