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54543533440 = 2751154114321
BaseRepresentation
bin110010110011000011…
…000100010110000000
312012210020021120210011
4302303003010112000
51343201121032230
641020145114304
73640432245634
oct626303042600
9165706246704
1054543533440
112114a447a70
12a6a2628994
1351b3179456
1428d5d2cdc4
1516436d1e2a
hexcb30c4580

54543533440 has 128 divisors (see below), whose sum is σ = 142519940640. Its totient is φ = 19795968000.

The previous prime is 54543533423. The next prime is 54543533449. The reversal of 54543533440 is 4433534545.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54543533393 and 54543533402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54543533449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3801480 + ... + 3815800.

Almost surely, 254543533440 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 54543533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71259970320).

54543533440 is an abundant number, since it is smaller than the sum of its proper divisors (87976407200).

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

54543533440 is a wasteful number, since it uses less digits than its factorization.

54543533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

It can be divided in two parts, 545435 and 33440, that added together give a palindrome (578875).

The spelling of 54543533440 in words is "fifty-four billion, five hundred forty-three million, five hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 541 640 704 880 1082 1408 1760 2164 2705 3520 4328 5410 5951 7040 8656 10820 11902 14321 17312 21640 23804 28642 29755 34624 43280 47608 57284 59510 69248 71605 86560 95216 114568 119020 143210 157531 173120 190432 229136 238040 286420 315062 346240 380864 458272 476080 572840 630124 761728 787655 916544 952160 1145680 1260248 1575310 1833088 1904320 2291360 2520496 3150620 3808640 4582720 5040992 6301240 7747661 9165440 10081984 12602480 15495322 20163968 25204960 30990644 38738305 50409920 61981288 77476610 85224271 100819840 123962576 154953220 170448542 247925152 309906440 340897084 426121355 495850304 619812880 681794168 852242710 991700608 1239625760 1363588336 1704485420 2479251520 2727176672 3408970840 4958503040 5454353344 6817941680 10908706688 13635883360 27271766720 54543533440