Search a number
-
+
193371510852 = 22321317227107071
BaseRepresentation
bin1011010000010111010…
…1110001100001000100
3200111010101121112210100
42310011311301201010
511132011101321402
6224500022324100
716653632502522
oct2640565614104
9614111545710
10193371510852
11750101a41a3
1231587889630
1315308c91450
149505a31312
15506b59271c
hex2d05d71844

193371510852 has 144 divisors (see below), whose sum is σ = 559825523712. Its totient is φ = 55751777280.

The previous prime is 193371510847. The next prime is 193371510877. The reversal of 193371510852 is 258015173391.

193371510852 is a `hidden beast` number, since 19 + 3 + 3 + 71 + 510 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 193371510798 and 193371510807.

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, 1752477 + ... + 1859547.

It is an arithmetic number, because the mean of its divisors is an integer number (3887677248).

Almost surely, 2193371510852 is an apocalyptic number.

193371510852 is a gapful number since it is divisible by the number (12) 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 193371510852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279912761856).

193371510852 is an abundant number, since it is smaller than the sum of its proper divisors (366454012860).

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

193371510852 is a wasteful number, since it uses less digits than its factorization.

193371510852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107338 (or 107333 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 193371510852 in words is "one hundred ninety-three billion, three hundred seventy-one million, five hundred ten thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 227 234 306 442 454 468 612 663 681 884 908 1326 1362 1989 2043 2652 2724 2951 3859 3978 4086 5902 7718 7956 8172 8853 11577 11804 15436 17706 23154 26559 34731 35412 46308 50167 53118 69462 100334 106236 107071 138924 150501 200668 214142 301002 321213 428284 451503 602004 642426 903006 963639 1284852 1391923 1806012 1820207 1927278 2783846 3640414 3854556 4175769 5460621 5567692 7280828 8351538 10921242 12527307 16381863 16703076 21842484 23662691 24305117 25054614 32763726 47325382 48610234 50109228 65527452 70988073 72915351 94650764 97220468 141976146 145830702 212964219 218746053 283952292 291661404 315966521 413186989 425928438 437492106 631933042 826373978 851856876 874984212 947899563 1239560967 1263866084 1652747956 1895799126 2479121934 2843698689 3718682901 3791598252 4958243868 5371430857 5687397378 7437365802 10742861714 11374794756 14874731604 16114292571 21485723428 32228585142 48342877713 64457170284 96685755426 193371510852