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381246536304 = 243247279120183
BaseRepresentation
bin1011000110001000001…
…00000111101001110000
31100110001201121201002100
411203010010013221300
522221243103130204
6451050420220400
736354434042514
oct5430404075160
91313051551070
10381246536304
1113775a804577
1261a7a83a700
1329c4a29c86a
1414649682144
159db530ba39
hex58c4107a70

381246536304 has 120 divisors (see below), whose sum is σ = 1090106514432. Its totient is φ = 124327578240.

The previous prime is 381246536227. The next prime is 381246536309. The reversal of 381246536304 is 403635642183.

381246536304 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 4 + 6 + 5 + 3 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 381246536304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381246536309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18879397 + ... + 18899579.

Almost surely, 2381246536304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381246536304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545053257216).

381246536304 is an abundant number, since it is smaller than the sum of its proper divisors (708859978128).

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

381246536304 is a wasteful number, since it uses less digits than its factorization.

381246536304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 381246536304 in words is "three hundred eighty-one billion, two hundred forty-six million, five hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 2791 3384 5582 6768 8373 11164 16746 20183 22328 25119 33492 40366 44656 50238 60549 66984 80732 100476 121098 131177 133968 161464 181647 200952 242196 262354 322928 363294 393531 401904 484392 524708 726588 787062 948601 968784 1049416 1180593 1453176 1574124 1897202 2098832 2361186 2845803 2906352 3148248 3794404 4722372 5691606 6296496 7588808 8537409 9444744 11383212 15177616 17074818 18889488 22766424 34149636 45532848 56330753 68299272 112661506 136598544 168992259 225323012 337984518 450646024 506976777 675969036 901292048 1013953554 1351938072 2027907108 2647545391 2703876144 4055814216 5295090782 7942636173 8111628432 10590181564 15885272346 21180363128 23827908519 31770544692 42360726256 47655817038 63541089384 95311634076 127082178768 190623268152 381246536304