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54064406256 = 2437292754973
BaseRepresentation
bin110010010110011111…
…010101111011110000
312011112211201101211220
4302112133111323300
51341210442000011
640500431505040
73622523604450
oct622637257360
9164484641756
1054064406256
1120a23a47693
12a58a088180
135137b21b43
14288c44bd60
1516165dd506
hexc967d5ef0

54064406256 has 80 divisors (see below), whose sum is σ = 159676161024. Its totient is φ = 15441414912.

The previous prime is 54064406203. The next prime is 54064406293. The reversal of 54064406256 is 65260446045.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 955986 + ... + 1010958.

Almost surely, 254064406256 is an apocalyptic number.

54064406256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54064406256 is an abundant number, since it is smaller than the sum of its proper divisors (105611754768).

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

54064406256 is a wasteful number, since it uses less digits than its factorization.

54064406256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57918 (or 57912 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

It can be divided in two parts, 54064 and 406256, that added together give a triangular number (460320 = T959).

The spelling of 54064406256 in words is "fifty-four billion, sixty-four million, four hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2927 5854 8781 11708 17562 20489 23416 35124 40978 46832 54973 61467 70248 81956 109946 122934 140496 163912 164919 219892 245868 327824 329838 384811 439784 491736 659676 769622 879568 983472 1154433 1319352 1539244 2308866 2638704 3078488 4617732 6156976 9235464 18470928 160905971 321811942 482717913 643623884 965435826 1126341797 1287247768 1930871652 2252683594 2574495536 3379025391 3861743304 4505367188 6758050782 7723486608 9010734376 13516101564 18021468752 27032203128 54064406256