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54071935488 = 293215177711
BaseRepresentation
bin110010010110111100…
…000100001000000000
312011120100212221000100
4302112330010020000
51341214403413423
640501301122400
73622644603534
oct622674041000
9164510787010
1054071935488
1120a2821a49a
12a5906b9400
135139559bcc
14288d44bbc4
1516170c9343
hexc96f04200

54071935488 has 120 divisors (see below), whose sum is σ = 157090766976. Its totient is φ = 17904384000.

The previous prime is 54071935487. The next prime is 54071935499. The reversal of 54071935488 is 88453917045.

54071935488 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 1 + 93 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54071935487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656953 + ... + 734663.

Almost surely, 254071935488 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 54071935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78545383488).

54071935488 is an abundant number, since it is smaller than the sum of its proper divisors (103018831488).

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

54071935488 is a wasteful number, since it uses less digits than its factorization.

54071935488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77886 (or 77867 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 54071935488 in words is "fifty-four billion, seventy-one million, nine hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 512 576 604 768 906 1152 1208 1359 1536 1812 2304 2416 2718 3624 4608 4832 5436 7248 9664 10872 14496 19328 21744 28992 38656 43488 57984 77312 77711 86976 115968 155422 173952 231936 233133 310844 347904 466266 621688 695808 699399 932532 1243376 1398798 1865064 2486752 2797596 3730128 4973504 5595192 7460256 9947008 11190384 11734361 14920512 19894016 22380768 23468722 29841024 35203083 39788032 44761536 46937444 59682048 70406166 89523072 93874888 105609249 119364096 140812332 179046144 187749776 211218498 281624664 358092288 375499552 422436996 563249328 750999104 844873992 1126498656 1501998208 1689747984 2252997312 3003996416 3379495968 4505994624 6007992832 6758991936 9011989248 13517983872 18023978496 27035967744 54071935488