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75140447752881 = 34721375932
BaseRepresentation
bin10001000101011011111111…
…101100100101001010110001
3100212001100121222221222110000
4101011123333230211022301
534322100114111043011
6423451013430500213
721553501225424400
oct2105337754451261
9325040558858400
1075140447752881
1121a3a980938125
12851687bb04669
1332c0938350b94
14147ab620b1637
158a48973d1356
hex4456ffb252b1

75140447752881 has 45 divisors (see below), whose sum is σ = 130573805662971. Its totient is φ = 42937086655008.

The previous prime is 75140447752831. The next prime is 75140447752907. The reversal of 75140447752881 is 18825774404157.

It is a happy number.

The square root of 75140447752881 is 8668359.

It is a perfect power (a square), and thus also a powerful number.

75140447752881 is a `hidden beast` number, since 7 + 5 + 1 + 40 + 447 + 75 + 2 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48212817167025 + 26927630585856 = 6943545^2 + 5189184^2 .

It is not a de Polignac number, because 75140447752881 - 211 = 75140447750833 is a prime.

It is a super-2 number, since 2×751404477528812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (75140447752831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 546037821 + ... + 546175413.

Almost surely, 275140447752881 is an apocalyptic number.

75140447752881 is the 8668359-th square number.

75140447752881 is the 4334180-th centered octagonal number.

It is an amenable number.

75140447752881 is a deficient number, since it is larger than the sum of its proper divisors (55433357910090).

75140447752881 is an frugal number, since it uses more digits than its factorization.

75140447752881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275212 (or 137603 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 75140447752881 in words is "seventy-five trillion, one hundred forty billion, four hundred forty-seven million, seven hundred fifty-two thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 137593 412779 963151 1238337 2889453 3715011 6742057 8668359 11145033 20226171 26005077 60678513 78015231 182035539 546106617 18931833649 56795500947 132522835543 170386502841 397568506629 511159508523 927659848801 1192705519887 1533478525569 2782979546403 3578116559661 8348938639209 10734349678983 25046815917627 75140447752881