Search a number
-
+
553119247098 = 2321131268333587
BaseRepresentation
bin10000000110010000111…
…10011110101011111010
31221212200211110001110200
420003020132132223322
533030242011401343
61102033253023030
754650545012065
oct10031036365372
91855624401420
10553119247098
111a3638439010
128b246624a76
134020b1c4332
141cab1d1b8dc
15e5c42744d3
hex80c879eafa

553119247098 has 96 divisors (see below), whose sum is σ = 1350089275392. Its totient is φ = 162139773600.

The previous prime is 553119247081. The next prime is 553119247111. The reversal of 553119247098 is 890742911355.

It is a happy number.

553119247098 is a `hidden beast` number, since 5 + 53 + 119 + 2 + 470 + 9 + 8 = 666.

553119247098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16451461 + ... + 16485047.

It is an arithmetic number, because the mean of its divisors is an integer number (14063429952).

Almost surely, 2553119247098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553119247098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675044637696).

553119247098 is an abundant number, since it is smaller than the sum of its proper divisors (796970028294).

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

553119247098 is a wasteful number, since it uses less digits than its factorization.

553119247098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36320 (or 36317 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 553119247098 in words is "five hundred fifty-three billion, one hundred nineteen million, two hundred forty-seven thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 2683 3069 5366 6138 8049 16098 24147 29513 33587 48294 59026 67174 83173 88539 100761 166346 177078 201522 249519 265617 302283 369457 499038 531234 604566 738914 748557 914903 1041197 1108371 1497114 1829806 2082394 2216742 2744709 3123591 3325113 5489418 6247182 6650226 8234127 9370773 11453167 16468254 18741546 22906334 34359501 68719002 90113921 103078503 180227842 206157006 270341763 540683526 811025289 991253131 1622050578 1982506262 2793531551 2973759393 5587063102 5947518786 8380594653 8921278179 16761189306 17842556358 25141783959 30728847061 50283567918 61457694122 92186541183 184373082366 276559623549 553119247098