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54063723373104 = 2434142616447173
BaseRepresentation
bin11000100101011101100010…
…00001101110001000110000
321002102102220211121201111210
430102232301001232020300
524041240001140414404
6310552310500240120
714246655315234144
oct1422566101561060
9232372824551453
1054063723373104
1116254329451075
126091ab36a0040
132422258494033
14d4c9abb03224
1563b4c519e689
hex312bb106e230

54063723373104 has 80 divisors (see below), whose sum is σ = 143104671902304. Its totient is φ = 17577569740800.

The previous prime is 54063723373097. The next prime is 54063723373123. The reversal of 54063723373104 is 40137332736045.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 5162062 + ... + 11609234.

Almost surely, 254063723373104 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 54063723373104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71552335951152).

54063723373104 is an abundant number, since it is smaller than the sum of its proper divisors (89040948529200).

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

54063723373104 is a wasteful number, since it uses less digits than its factorization.

54063723373104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451486 (or 6451480 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 48.

The spelling of 54063723373104 in words is "fifty-four trillion, sixty-three billion, seven hundred twenty-three million, three hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 4261 8522 12783 17044 25566 34088 51132 68176 102264 174701 204528 349402 524103 698804 1048206 1397608 2096412 2795216 4192824 6447173 8385648 12894346 19341519 25788692 38683038 51577384 77366076 103154768 154732152 264334093 309464304 528668186 793002279 1057336372 1586004558 2114672744 3172009116 4229345488 6344018232 12688036464 27471404153 54942808306 82414212459 109885616612 164828424918 219771233224 329656849836 439542466448 659313699672 1126327570273 1318627399344 2252655140546 3378982710819 4505310281092 6757965421638 9010620562184 13515930843276 18021241124368 27031861686552 54063723373104