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386021145636 = 22347249312
BaseRepresentation
bin1011001111000001010…
…01110011110000100100
31100220101110212222210000
411213200221303300210
522311032403130021
6453200300501300
736613651412400
oct5474051636044
91326343788700
10386021145636
1113978a9671a5
126299184a830
132a52b524199
141497d832100
15a094590b26
hex59e0a73c24

386021145636 has 135 divisors (see below), whose sum is σ = 1174130458347. Its totient is φ = 110269388880.

The previous prime is 386021145617. The next prime is 386021145637. The reversal of 386021145636 is 636541120683.

The square root of 386021145636 is 621306.

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

386021145636 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 2 + 1 + 1 + 4 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 386021145591 and 386021145600.

It is not an unprimeable number, because it can be changed into a prime (386021145637) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78282091 + ... + 78287021.

Almost surely, 2386021145636 is an apocalyptic number.

386021145636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

386021145636 is the 621306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386021145636

386021145636 is an abundant number, since it is smaller than the sum of its proper divisors (788109312711).

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

386021145636 is an frugal number, since it uses more digits than its factorization.

386021145636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 386021145636 in words is "three hundred eighty-six billion, twenty-one million, one hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 4931 5292 7938 9862 14793 15876 19724 29586 34517 44379 59172 69034 88758 103551 133137 138068 177516 207102 241619 266274 310653 399411 414204 483238 532548 621306 724857 798822 931959 966476 1242612 1449714 1597644 1863918 2174571 2795877 2899428 3727836 4349142 5591754 6523713 8698284 11183508 13047426 19571139 24314761 26094852 39142278 48629522 72944283 78284556 97259044 145888566 170203327 218832849 291777132 340406654 437665698 510609981 656498547 680813308 875331396 1021219962 1191423289 1312997094 1531829943 1969495641 2042439924 2382846578 2625994188 3063659886 3574269867 3938991282 4595489829 4765693156 6127319772 7148539734 7877982564 9190979658 10722809601 13786469487 14297079468 18381959316 21445619202 27572938974 32168428803 42891238404 55145877948 64336857606 96505286409 128673715212 193010572818 386021145636