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1010485377 = 321192910987
BaseRepresentation
bin111100001110101…
…100100010000001
32121102101222100100
4330032230202001
54032141013002
6244134113013
734016661336
oct7416544201
92542358310
101010485377
11479435690
122424ab769
1313146b955
14982ba98d
155daa311c
hex3c3ac881

1010485377 has 24 divisors (see below), whose sum is σ = 1594139040. Its totient is φ = 611700480.

The previous prime is 1010485363. The next prime is 1010485387. The reversal of 1010485377 is 7735840101.

1010485377 is a `hidden beast` number, since 10 + 104 + 8 + 537 + 7 = 666.

It is not a de Polignac number, because 1010485377 - 27 = 1010485249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010485327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86478 + ... + 97464.

It is an arithmetic number, because the mean of its divisors is an integer number (66422460).

Almost surely, 21010485377 is an apocalyptic number.

It is an amenable number.

1010485377 is a deficient number, since it is larger than the sum of its proper divisors (583653663).

1010485377 is a wasteful number, since it uses less digits than its factorization.

1010485377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1010485377 is about 31788.1326441174. The cubic root of 1010485377 is about 1003.4829804298.

It can be divided in two parts, 10104 and 85377, that added together give a square (95481 = 3092).

The spelling of 1010485377 in words is "one billion, ten million, four hundred eighty-five thousand, three hundred seventy-seven".

Divisors: 1 3 9 11 33 99 929 2787 8361 10219 10987 30657 32961 91971 98883 120857 362571 1087713 10206923 30620769 91862307 112276153 336828459 1010485377