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53952147392 = 26111336716063
BaseRepresentation
bin110010001111110011…
…000110111111000000
312011021000111001122012
4302033303012333000
51340443222204032
640441341432052
73616661454233
oct621763067700
9164230431565
1053952147392
1120976642970
12a55856b628
13511a7a8590
14287b58941a
15160b8166b2
hexc8fcc6fc0

53952147392 has 112 divisors (see below), whose sum is σ = 126128873472. Its totient is φ = 22574177280.

The previous prime is 53952147341. The next prime is 53952147419. The reversal of 53952147392 is 29374125935.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53952147392.

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 15 ways as a sum of consecutive naturals, for example, 3350753 + ... + 3366815.

It is an arithmetic number, because the mean of its divisors is an integer number (1126150656).

Almost surely, 253952147392 is an apocalyptic number.

53952147392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53952147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63064436736).

53952147392 is an abundant number, since it is smaller than the sum of its proper divisors (72176726080).

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

53952147392 is a wasteful number, since it uses less digits than its factorization.

53952147392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16456 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 50.

The spelling of 53952147392 in words is "fifty-three billion, nine hundred fifty-two million, one hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 367 416 572 704 734 832 1144 1468 2288 2936 4037 4576 4771 5872 8074 9152 9542 11744 16063 16148 19084 23488 32126 32296 38168 52481 64252 64592 76336 104962 128504 129184 152672 176693 208819 209924 257008 258368 305344 353386 417638 419848 514016 706772 835276 839696 1028032 1413544 1670552 1679392 2297009 2827088 3341104 3358784 4594018 5654176 5895121 6682208 9188036 11308352 11790242 13364416 18376072 23580484 36752144 47160968 64846331 73504288 76636573 94321936 129692662 147008576 153273146 188643872 259385324 306546292 377287744 518770648 613092584 843002303 1037541296 1226185168 1686004606 2075082592 2452370336 3372009212 4150165184 4904740672 6744018424 13488036848 26976073696 53952147392