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378230690646 = 23371727135697
BaseRepresentation
bin1011000000100000100…
…11100101001101010110
31100011021112202212121000
411200100103211031112
522144104024100041
6445431244204130
736216623552544
oct5402023451526
91304245685530
10378230690646
11136452401046
1261378839646
132988952aac3
1414440d12d94
159c8a687bb6
hex58104e5356

378230690646 has 64 divisors (see below), whose sum is σ = 853529564160. Its totient is φ = 124129272960.

The previous prime is 378230690587. The next prime is 378230690647. The reversal of 378230690646 is 646096032873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 378230690592 and 378230690601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378230690647) 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, 2719470 + ... + 2855166.

It is an arithmetic number, because the mean of its divisors is an integer number (13336399440).

Almost surely, 2378230690646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378230690646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426764782080).

378230690646 is an abundant number, since it is smaller than the sum of its proper divisors (475298873514).

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

378230690646 is a wasteful number, since it uses less digits than its factorization.

378230690646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136506 (or 136500 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 378230690646 in words is "three hundred seventy-eight billion, two hundred thirty million, six hundred ninety thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 727 1278 1454 1917 2181 3834 4362 6543 13086 19629 39258 51617 103234 135697 154851 271394 309702 407091 464553 814182 929106 1221273 1393659 2442546 2787318 3663819 7327638 9634487 19268974 28903461 57806922 86710383 98651719 173420766 197303438 260131149 295955157 520262298 591910314 887865471 1775730942 2663596413 5327192826 7004272049 14008544098 21012816147 42025632294 63038448441 126076896882 189115345323 378230690646