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214872375049460 = 22550993712252407
BaseRepresentation
bin110000110110110011011111…
…100101100011110011110100
31001011210121011021010012112222
4300312303133211203303310
5211130432111003040320
62040555001213301512
763155005522365332
oct6066633745436364
91034717137105488
10214872375049460
1162512954005597
1220123857794898
1392b84bb697c3b
143b0bc42636b52
1519c94cc138825
hexc36cdf963cf4

214872375049460 has 48 divisors (see below), whose sum is σ = 452166941761920. Its totient is φ = 85770899710080.

The previous prime is 214872375049459. The next prime is 214872375049463. The reversal of 214872375049460 is 64940573278412.

It is a junction number, because it is equal to n+sod(n) for n = 214872375049393 and 214872375049402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214872375049463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94270577 + ... + 96522983.

It is an arithmetic number, because the mean of its divisors is an integer number (9420144620040).

It is a 1-persistent number, because it is pandigital, but 2⋅214872375049460 = 429744750098920 is not.

Almost surely, 2214872375049460 is an apocalyptic number.

214872375049460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214872375049460 is an abundant number, since it is smaller than the sum of its proper divisors (237294566712460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214872375049460 is a wasteful number, since it uses less digits than its factorization.

214872375049460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262296 (or 2262294 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 214872375049460 in words is "two hundred fourteen trillion, eight hundred seventy-two billion, three hundred seventy-five million, forty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 5090 9371 10180 18742 37484 46855 93710 187420 2252407 4504814 4769839 9009628 9539678 11262035 19079356 22524070 23849195 45048140 47698390 95396780 1146475163 2292950326 4585900652 5732375815 11464751630 21107305997 22929503260 42214611994 84429223988 105536529985 211073059970 422146119940 10743618752473 21487237504946 42974475009892 53718093762365 107436187524730 214872375049460