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146057705721 = 3237537432337
BaseRepresentation
bin1000100000000110110…
…1111011100011111001
3111222000000100012210100
42020001231323203321
54343111233040341
6151033055310013
713360306004634
oct2100155734371
9458000305710
10146057705721
1156a40849104
122438251b309
1310a088b3655
1470d7d7cc1b
153bec9573b6
hex2201b7b8f9

146057705721 has 12 divisors (see below), whose sum is σ = 210978349972. Its totient is φ = 97368984576.

The previous prime is 146057705669. The next prime is 146057705737. The reversal of 146057705721 is 127507750641.

146057705721 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 5 + 7 + 70 + 572 + 1 = 666.

146057705721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43378475625 + 102679230096 = 208275^2 + 320436^2 .

It is not a de Polignac number, because 146057705721 - 219 = 146057181433 is a prime.

It is a super-2 number, since 2×1460577057212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146057705771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121665 + ... + 554001.

Almost surely, 2146057705721 is an apocalyptic number.

It is an amenable number.

146057705721 is a deficient number, since it is larger than the sum of its proper divisors (64920644251).

146057705721 is a wasteful number, since it uses less digits than its factorization.

146057705721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469880 (or 469877 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 146057705721 in words is "one hundred forty-six billion, fifty-seven million, seven hundred five thousand, seven hundred twenty-one".

Divisors: 1 3 9 37537 112611 337833 432337 1297011 3891033 16228633969 48685901907 146057705721