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11382455907 = 343135389
BaseRepresentation
bin10101001100111001…
…00111111001100011
31002101021002200010000
422212130213321203
5141302402042112
65121245311043
7552032164434
oct124634477143
932337080100
1011382455907
114911110659
122257b65483
1310c5235614
1479d9c948b
154694397dc
hex2a6727e63

11382455907 has 80 divisors (see below), whose sum is σ = 18102839040. Its totient is φ = 7124008320.

The previous prime is 11382455897. The next prime is 11382455921. The reversal of 11382455907 is 70955428311.

11382455907 is a `hidden beast` number, since 1 + 1 + 38 + 24 + 5 + 590 + 7 = 666.

It is not a de Polignac number, because 11382455907 - 215 = 11382423139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11382455807) 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 79 ways as a sum of consecutive naturals, for example, 127892719 + ... + 127892807.

It is an arithmetic number, because the mean of its divisors is an integer number (226285488).

Almost surely, 211382455907 is an apocalyptic number.

11382455907 is a deficient number, since it is larger than the sum of its proper divisors (6720383133).

11382455907 is an frugal number, since it uses more digits than its factorization.

11382455907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11382455907 in words is "eleven billion, three hundred eighty-two million, four hundred fifty-five thousand, nine hundred seven".

Divisors: 1 3 9 27 31 53 81 89 93 159 267 279 477 801 837 961 1431 1643 2403 2511 2759 2883 4293 4717 4929 7209 8277 8649 14151 14787 24831 25947 29791 42453 44361 50933 74493 77841 85529 89373 127359 133083 146227 152799 223479 256587 268119 382077 438681 458397 769761 804357 1316043 1375191 1578923 2309283 2413071 2651399 3948129 4125573 4533037 4736769 6927849 7954197 11844387 13599111 14210307 23862591 40797333 42630921 71587773 122391999 127892763 140524147 214763319 367175997 421572441 1264717323 3794151969 11382455907