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61027156375272 = 23335412161241667
BaseRepresentation
bin11011110000000111111011…
…11110100011011011101000
322000002010202110022202001000
431320003331332203123220
530444332104013002042
6333443253312155000
715566031553162263
oct1570037576433350
9260063673282030
1061027156375272
111849952088774a
126a1757b238a60
132808ab4049529
14110da31689cda
1570c6ca48c74c
hex3780fdfa36e8

61027156375272 has 128 divisors (see below), whose sum is σ = 169912517443200. Its totient is φ = 20295304012800.

The previous prime is 61027156375223. The next prime is 61027156375291. The reversal of 61027156375272 is 27257365172016.

61027156375272 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 7 + 1 + 563 + 7 + 5 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252404983 + ... + 252646649.

It is an arithmetic number, because the mean of its divisors is an integer number (1327441542525).

Almost surely, 261027156375272 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 61027156375272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84956258721600).

61027156375272 is an abundant number, since it is smaller than the sum of its proper divisors (108885361067928).

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

61027156375272 is a wasteful number, since it uses less digits than its factorization.

61027156375272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244384 (or 244374 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 61027156375272 in words is "sixty-one trillion, twenty-seven billion, one hundred fifty-six million, three hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 541 1082 1623 2161 2164 3246 4322 4328 4869 6483 6492 8644 9738 12966 12984 14607 17288 19449 19476 25932 29214 38898 38952 51864 58347 58428 77796 116694 116856 155592 233388 241667 466776 483334 725001 966668 1169101 1450002 1933336 2175003 2338202 2900004 3507303 4350006 4676404 5800008 6525009 7014606 8700012 9352808 10521909 13050018 14029212 17400024 21043818 26100036 28058424 31565727 42087636 52200072 63131454 84175272 126262908 130741847 252525816 261483694 392225541 522242387 522967388 784451082 1044484774 1045934776 1176676623 1566727161 1568902164 2088969548 2353353246 3133454322 3137804328 3530029869 4177939096 4700181483 4706706492 6266908644 7060059738 9400362966 9413412984 12533817288 14100544449 14120119476 18800725932 28201088898 28240238952 37601451864 56402177796 112804355592 282533131367 565066262734 847599394101 1130132525468 1695198788202 2260265050936 2542798182303 3390397576404 5085596364606 6780795152808 7628394546909 10171192729212 15256789093818 20342385458424 30513578187636 61027156375272