Search a number
-
+
202066357590 = 2345419595381
BaseRepresentation
bin1011110000110000010…
…1111110110101010110
3201022120100111112020000
42330030011332311112
511302312441420330
6232454503152130
720412251462106
oct2741405766526
9638510445200
10202066357590
1178772211249
12331b3745646
131609345b186
149acc6d1206
1553c9a93560
hex2f0c17ed56

202066357590 has 80 divisors (see below), whose sum is σ = 544631638320. Its totient is φ = 53755669440.

The previous prime is 202066357543. The next prime is 202066357613. The reversal of 202066357590 is 95753660202.

202066357590 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 6 + 6 + 3 + 57 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41700 + ... + 637080.

It is an arithmetic number, because the mean of its divisors is an integer number (6807895479).

Almost surely, 2202066357590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202066357590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272315819160).

202066357590 is an abundant number, since it is smaller than the sum of its proper divisors (342565280730).

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

202066357590 is a wasteful number, since it uses less digits than its factorization.

202066357590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595819 (or 595810 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 202066357590 in words is "two hundred two billion, sixty-six million, three hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 419 810 838 1257 2095 2514 3771 4190 6285 7542 11313 12570 18855 22626 33939 37710 56565 67878 113130 169695 339390 595381 1190762 1786143 2976905 3572286 5358429 5953810 8930715 10716858 16075287 17861430 26792145 32150574 48225861 53584290 80376435 96451722 160752870 241129305 249464639 482258610 498929278 748393917 1247323195 1496787834 2245181751 2494646390 3741969585 4490363502 6735545253 7483939170 11225908755 13471090506 20206635759 22451817510 33677726265 40413271518 67355452530 101033178795 202066357590