Search a number
-
+
54652790016 = 283311718813
BaseRepresentation
bin110010111001100011…
…110110010100000000
312020001211212101122000
4302321203312110000
51343412103240031
641035050544000
73643230023136
oct627143662400
9166054771560
1054652790016
11211a6091060
12a713138000
1351cc9b1306
14290664d756
15164d0b43e6
hexcb98f6500

54652790016 has 144 divisors (see below), whose sum is σ = 176310697920. Its totient is φ = 16561428480.

The previous prime is 54652789999. The next prime is 54652790041. The reversal of 54652790016 is 61009725645.

54652790016 is a `hidden beast` number, since 546 + 5 + 2 + 7 + 90 + 0 + 16 = 666.

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

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, 283375 + ... + 435438.

Almost surely, 254652790016 is an apocalyptic number.

It is an amenable number.

54652790016 is an abundant number, since it is smaller than the sum of its proper divisors (121657907904).

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

54652790016 is a wasteful number, since it uses less digits than its factorization.

54652790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718849 (or 718829 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54652790016 in words is "fifty-four billion, six hundred fifty-two million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 718813 1437626 2156439 2875252 4312878 5750504 6469317 7906943 8625756 11501008 12938634 15813886 17251512 19407951 23002016 23720829 25877268 31627772 34503024 38815902 46004032 47441658 51754536 63255544 69006048 71162487 77631804 92008064 94883316 103509072 126511088 138012096 142324974 155263608 184016128 189766632 207018144 213487461 253022176 276024192 284649948 310527216 379533264 414036288 426974922 506044352 552048384 569299896 621054432 759066528 828072576 853949844 1012088704 1138599792 1242108864 1518133056 1656145152 1707899688 2024177408 2277199584 2484217728 3036266112 3415799376 4554399168 4968435456 6072532224 6831598752 9108798336 13663197504 18217596672 27326395008 54652790016