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428671620351 = 321319238384119
BaseRepresentation
bin1100011110011101101…
…00011101010011111111
31111222110212021121001200
412033032310131103333
524010404413322401
6524532400310543
742653611436622
oct6171664352377
91458425247050
10428671620351
11155886a55107
126b0b5312453
133156773cb80
1416a6801ddb9
15b23dac8686
hex63ced1d4ff

428671620351 has 48 divisors (see below), whose sum is σ = 732436723200. Its totient is φ = 239047972416.

The previous prime is 428671620347. The next prime is 428671620437. The reversal of 428671620351 is 153026176824.

428671620351 is a `hidden beast` number, since 4 + 286 + 7 + 16 + 2 + 0 + 351 = 666.

It is not a de Polignac number, because 428671620351 - 22 = 428671620347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428671620297 and 428671620306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428671620301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140931 + ... + 4243188.

It is an arithmetic number, because the mean of its divisors is an integer number (15259098400).

Almost surely, 2428671620351 is an apocalyptic number.

428671620351 is a deficient number, since it is larger than the sum of its proper divisors (303765102849).

428671620351 is a wasteful number, since it uses less digits than its factorization.

428671620351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384180 (or 8384177 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 428671620351 in words is "four hundred twenty-eight billion, six hundred seventy-one million, six hundred twenty thousand, three hundred fifty-one".

Divisors: 1 3 9 13 19 23 39 57 69 117 171 207 247 299 437 741 897 1311 2223 2691 3933 5681 17043 51129 8384119 25152357 75457071 108993547 159298261 192834737 326980641 477894783 578504211 980941923 1433684349 1735512633 2070877393 2506851581 3663860003 6212632179 7520554743 10991580009 18637896537 22561664229 32974740027 47630180039 142890540117 428671620351