Search a number
-
+
399800163996 = 223247320373771
BaseRepresentation
bin1011101000101011111…
…00100101111010011100
31102012221202112122112100
411310111330211322130
523022242320221441
6503355441005100
740612264215522
oct5642574457234
91365852478470
10399800163996
11144610851682
1265598323790
132b91611089c
14154c9824312
15a5ee0c2cb6
hex5d15f25e9c

399800163996 has 72 divisors (see below), whose sum is σ = 1032444451584. Its totient is φ = 130388770080.

The previous prime is 399800163991. The next prime is 399800164031. The reversal of 399800163996 is 699361008993.

399800163996 is a `hidden beast` number, since 399 + 80 + 0 + 163 + 9 + 9 + 6 = 666.

It is a super-2 number, since 2×3998001639962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399800163991) 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, 5382591 + ... + 5456361.

It is an arithmetic number, because the mean of its divisors is an integer number (14339506272).

Almost surely, 2399800163996 is an apocalyptic number.

399800163996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399800163996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516222225792).

399800163996 is an abundant number, since it is smaller than the sum of its proper divisors (632644287588).

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

399800163996 is a wasteful number, since it uses less digits than its factorization.

399800163996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77031 (or 77026 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 399800163996 in words is "three hundred ninety-nine billion, eight hundred million, one hundred sixty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 3203 6406 9609 12812 19218 28827 38436 57654 73771 115308 147542 150541 221313 295084 301082 442626 451623 602164 663939 885252 903246 1327878 1354869 1806492 2655756 2709738 3467237 5419476 6934474 10401711 13868948 20803422 31205133 41606844 62410266 124820532 236288513 472577026 708865539 945154052 1417731078 2126596617 2835462156 4253193234 8506386468 11105560111 22211120222 33316680333 44422240444 66633360666 99950040999 133266721332 199900081998 399800163996