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428431955491 = 193110933120161
BaseRepresentation
bin1100011110000001000…
…10001101011000100011
31111221212011022100200101
412033000202031120203
524004412040033431
6524452515403231
742644641351351
oct6170042153043
91457764270611
10428431955491
11155773740381
126b048bb3517
1331529ba8747
1416a442747d1
15b227a36961
hex63c088d623

428431955491 has 32 divisors (see below), whose sum is σ = 471242393600. Its totient is φ = 387991296000.

The previous prime is 428431955489. The next prime is 428431955509. The reversal of 428431955491 is 194559134824.

428431955491 = T534434 + T534435 + T534436.

It is a 11-Lehmer number, since φ(428431955491) divides (428431955491-1)11.

It is a cyclic number.

It is not a de Polignac number, because 428431955491 - 21 = 428431955489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428431955191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21240451 + ... + 21260611.

It is an arithmetic number, because the mean of its divisors is an integer number (14726324800).

Almost surely, 2428431955491 is an apocalyptic number.

428431955491 is the 534436-th centered triangular number.

428431955491 is a deficient number, since it is larger than the sum of its proper divisors (42810438109).

428431955491 is a wasteful number, since it uses less digits than its factorization.

428431955491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20651.

The product of its digits is 6220800, while the sum is 55.

The spelling of 428431955491 in words is "four hundred twenty-eight billion, four hundred thirty-one million, nine hundred fifty-five thousand, four hundred ninety-one".

Divisors: 1 19 31 109 331 589 2071 3379 6289 10261 20161 36079 64201 194959 383059 624991 685501 1118449 2197549 6673291 11874829 21250531 41753431 68124019 126792529 206872021 727388719 1294356361 3930568399 13820385661 22549050289 428431955491