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381600216003636 = 22337504762190481
BaseRepresentation
bin101011011000100000011100…
…1010100100011010000110100
31212001010121212011112012202000
41112301000321110203100310
5400004114220244104021
63431332415155215300
7143243464042324620
oct12661007124432064
91761117764465660
10381600216003636
11100653819700853
12369708182a7530
13134c0990b5b766
146a33798664180
152e1b46d7e7b26
hex15b1039523434

381600216003636 has 48 divisors (see below), whose sum is σ = 1130667306679680. Its totient is φ = 109028633143680.

The previous prime is 381600216003631. The next prime is 381600216003649. The reversal of 381600216003636 is 636300612006183.

381600216003636 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 0 + 0 + 2 + 1 + 6 + 0 + 0 + 3 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381600216003591 and 381600216003600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381600216003631) 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, 252381094485 + ... + 252381095996.

It is an arithmetic number, because the mean of its divisors is an integer number (23555568889160).

Almost surely, 2381600216003636 is an apocalyptic number.

381600216003636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381600216003636 is an abundant number, since it is smaller than the sum of its proper divisors (749067090676044).

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

381600216003636 is a wasteful number, since it uses less digits than its factorization.

381600216003636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504762190501 (or 504762190493 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 381600216003636 in words is "three hundred eighty-one trillion, six hundred billion, two hundred sixteen million, three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 504762190481 1009524380962 1514286571443 2019048761924 3028573142886 3533335333367 4542859714329 6057146285772 7066670666734 9085719428658 10600006000101 13628579142987 14133341333468 18171438857316 21200012000202 27257158285974 31800018000303 42400024000404 54514316571948 63600036000606 95400054000909 127200072001212 190800108001818 381600216003636