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54496019808 = 253517412249
BaseRepresentation
bin110010110000001101…
…110100010101100000
312012122220212122100000
4302300031310111200
51343101440113213
641011330500000
73636314345136
oct626015642540
9165586778300
1054496019808
11211256452aa
12a68a734600
1351a6381989
1428cd8c1756
15163e448c73
hexcb0374560

54496019808 has 144 divisors (see below), whose sum is σ = 170166906000. Its totient is φ = 17096749056.

The previous prime is 54496019783. The next prime is 54496019861. The reversal of 54496019808 is 80891069445.

54496019808 is a `hidden beast` number, since 5 + 449 + 6 + 0 + 198 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73933 + ... + 338316.

It is an arithmetic number, because the mean of its divisors is an integer number (1181714625).

Almost surely, 254496019808 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 54496019808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85083453000).

54496019808 is an abundant number, since it is smaller than the sum of its proper divisors (115670886192).

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

54496019808 is a wasteful number, since it uses less digits than its factorization.

54496019808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412291 (or 412271 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 54496019808 in words is "fifty-four billion, four hundred ninety-six million, nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 33048 44064 66096 132192 412249 824498 1236747 1648996 2473494 3297992 3710241 4946988 6595984 7008233 7420482 9893976 11130723 13191968 14016466 14840964 19787952 21024699 22261446 28032932 29681928 33392169 39575904 42049398 44522892 56065864 59363856 63074097 66784338 84098796 89045784 100176507 112131728 118727712 126148194 133568676 168197592 178091568 189222291 200353014 224263456 252296388 267137352 336395184 356183136 378444582 400706028 504592776 534274704 567666873 672790368 756889164 801412056 1009185552 1068549408 1135333746 1513778328 1602824112 1703000619 2018371104 2270667492 3027556656 3205648224 3406001238 4541334984 6055113312 6812002476 9082669968 13624004952 18165339936 27248009904 54496019808