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199035070592 = 274728392
BaseRepresentation
bin1011100101011101101…
…0100010100010000000
3201000202002121012012012
42321113122202202000
511230110434224332
6231234020152052
720244163120511
oct2712732424200
9630662535165
10199035070592
1177457121486
12326a8538628
13159cc440c27
1498c1ca2a08
15529d8be3b2
hex2e576a2880

199035070592 has 72 divisors (see below), whose sum is σ = 405614622135. Its totient is φ = 97284050176.

The previous prime is 199035070579. The next prime is 199035070601. The reversal of 199035070592 is 295070530991.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 99517535296 + 99517535296 = 315464^2 + 315464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=315464.

It is a super-3 number, since 3×1990350705923 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 199035070592.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 237228509 + ... + 237229347.

Almost surely, 2199035070592 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 199035070592

199035070592 is an abundant number, since it is smaller than the sum of its proper divisors (206579551543).

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

199035070592 is an frugal number, since it uses more digits than its factorization.

199035070592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 50.

Multiplying 199035070592 by its sum of digits (50), we get a square (9951753529600 = 31546402).

The spelling of 199035070592 in words is "one hundred ninety-nine billion, thirty-five million, seventy thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 839 1504 1678 2209 3008 3356 4418 6016 6712 8836 13424 17672 26848 35344 39433 53696 70688 78866 107392 141376 157732 282752 315464 630928 703921 1261856 1407842 1853351 2523712 2815684 3706702 5047424 5631368 7413404 11262736 14826808 22525472 29653616 33084287 45050944 59307232 66168574 90101888 118614464 132337148 237228928 264674296 529348592 1058697184 1554961489 2117394368 3109922978 4234788736 6219845956 12439691912 24879383824 49758767648 99517535296 199035070592