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55819748448 = 25322912495351
BaseRepresentation
bin110011111111000111…
…011100010001100000
312100002011201000122200
4303333013130101200
51403304323422243
641350534533200
74014160014252
oct637707342140
9170064630580
1055819748448
112174487a212
12a999b07200
1353576a7269
1429b761bcd2
1516ba774ad3
hexcff1dc460

55819748448 has 144 divisors (see below), whose sum is σ = 164373300000. Its totient is φ = 17947238400.

The previous prime is 55819748437. The next prime is 55819748449. The reversal of 55819748448 is 84484791855.

55819748448 is a `hidden beast` number, since 5 + 581 + 9 + 7 + 4 + 8 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55819748449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10428973 + ... + 10434323.

It is an arithmetic number, because the mean of its divisors is an integer number (1141481250).

Almost surely, 255819748448 is an apocalyptic number.

55819748448 is a gapful number since it is divisible by the number (58) 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 55819748448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82186650000).

55819748448 is an abundant number, since it is smaller than the sum of its proper divisors (108553551552).

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

55819748448 is a wasteful number, since it uses less digits than its factorization.

55819748448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6634 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 55819748448 in words is "fifty-five billion, eight hundred nineteen million, seven hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1249 1392 2088 2498 2784 3747 4176 4996 5351 7494 8352 9992 10702 11241 14988 16053 19984 21404 22482 29976 32106 36221 39968 42808 44964 48159 59952 64212 72442 85616 89928 96318 108663 119904 128424 144884 155179 171232 179856 192636 217326 256848 289768 310358 325989 359712 385272 434652 465537 513696 579536 620716 651978 770544 869304 931074 1159072 1241432 1303956 1396611 1541088 1738608 1862148 2482864 2607912 2793222 3477216 3724296 4965728 5215824 5586444 6683399 7448592 10431648 11172888 13366798 14897184 20050197 22345776 26733596 40100394 44691552 53467192 60150591 80200788 106934384 120301182 160401576 193818571 213868768 240602364 320803152 387637142 481204728 581455713 641606304 775274284 962409456 1162911426 1550548568 1744367139 1924818912 2325822852 3101097136 3488734278 4651645704 6202194272 6977468556 9303291408 13954937112 18606582816 27909874224 55819748448