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58193953056 = 2532239479277
BaseRepresentation
bin110110001100101000…
…010100000100100000
312120012122012010002200
4312030220110010200
51423140122444211
642422310213200
74130046303501
oct661450240440
9176178163080
1058193953056
1122752a73288
12b341054200
135645530965
142b60a84ba8
1517a8e02b56
hexd8ca14120

58193953056 has 144 divisors (see below), whose sum is σ = 172885212864. Its totient is φ = 18533002752.

The previous prime is 58193953031. The next prime is 58193953061. The reversal of 58193953056 is 65035939185.

It is a happy number.

58193953056 is a `hidden beast` number, since 58 + 1 + 9 + 3 + 9 + 530 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 58193952993 and 58193953011.

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, 6268290 + ... + 6277566.

It is an arithmetic number, because the mean of its divisors is an integer number (1200591756).

Almost surely, 258193953056 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 58193953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86442606432).

58193953056 is an abundant number, since it is smaller than the sum of its proper divisors (114691259808).

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

58193953056 is a wasteful number, since it uses less digits than its factorization.

58193953056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 58193953056 in words is "fifty-eight billion, one hundred ninety-three million, nine hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 947 1104 1656 1894 2208 2841 3312 3788 5682 6624 7576 8523 9277 11364 15152 17046 18554 21781 22728 27831 30304 34092 37108 43562 45456 55662 65343 68184 74216 83493 87124 90912 111324 130686 136368 148432 166986 174248 196029 213371 222648 261372 272736 296864 333972 348496 392058 426742 445296 522744 640113 667944 696992 784116 853484 890592 1045488 1280226 1335888 1568232 1706968 1920339 2090976 2560452 2671776 3136464 3413936 3840678 5120904 6272928 6827872 7681356 8785319 10241808 15362712 17570638 20483616 26355957 30725424 35141276 52711914 61450848 70282552 79067871 105423828 140565104 158135742 202062337 210847656 281130208 316271484 404124674 421695312 606187011 632542968 808249348 843390624 1212374022 1265085936 1616498696 1818561033 2424748044 2530171872 3232997392 3637122066 4849496088 6465994784 7274244132 9698992176 14548488264 19397984352 29096976528 58193953056