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83421035929 = 72116312
BaseRepresentation
bin100110110110001000…
…1111111110110011001
321222022202101201001101
41031230101333312121
52331321241122204
6102153442151401
76012152051200
oct1155421776631
9258282351041
1083421035929
1132419000000
1214201652561
137b35b1472a
144075260237
1522839cdea4
hex136c47fd99

83421035929 has 63 divisors (see below), whose sum is σ = 110299330917. Its totient is φ = 62906520600.

The previous prime is 83421035899. The next prime is 83421035939. The reversal of 83421035929 is 92953012438.

The square root of 83421035929 is 288827.

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

It is not a de Polignac number, because 83421035929 - 211 = 83421033881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83421035939) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2691001144 + ... + 2691001174.

Almost surely, 283421035929 is an apocalyptic number.

83421035929 is the 288827-th square number.

83421035929 is the 144414-th centered octagonal number.

It is an amenable number.

83421035929 is a deficient number, since it is larger than the sum of its proper divisors (26878294988).

83421035929 is an frugal number, since it uses more digits than its factorization.

83421035929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 83421035929 in words is "eighty-three billion, four hundred twenty-one million, thirty-five thousand, nine hundred twenty-nine".

Divisors: 1 7 11 31 49 77 121 217 341 539 847 961 1331 1519 2387 3751 5929 6727 9317 10571 14641 16709 26257 41261 47089 65219 73997 102487 116281 161051 183799 288827 453871 517979 717409 813967 1127357 1279091 1771561 2021789 3177097 4992581 5697769 7891499 8953637 12400927 14070001 22239679 34948067 54918391 62675459 86806489 98490007 154770011 244636469 384428737 689430049 1083390077 1702470121 2691001159 7583730539 11917290847 83421035929