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202989895936 = 282929712
BaseRepresentation
bin1011110100001100100…
…1000000000100000000
3201101221201022010122221
42331003021000010000
511311210403132221
6233130253540424
720444164434532
oct2750311000400
9641851263587
10202989895936
11790a6560283
1233410aa4714
13161ac8a6679
149b79217852
155430bbe541
hex2f43240100

202989895936 has 81 divisors (see below), whose sum is σ = 420073233853. Its totient is φ = 97894200320.

The previous prime is 202989895919. The next prime is 202989895981. The reversal of 202989895936 is 639598989202.

The square root of 202989895936 is 450544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106442977536 + 96546918400 = 326256^2 + 310720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 209051931 + ... + 209052901.

Almost surely, 2202989895936 is an apocalyptic number.

202989895936 is the 450544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202989895936

202989895936 is an abundant number, since it is smaller than the sum of its proper divisors (217083337917).

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

202989895936 is an frugal number, since it uses more digits than its factorization.

202989895936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 70.

The spelling of 202989895936 in words is "two hundred two billion, nine hundred eighty-nine million, eight hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 971 1682 1856 1942 3364 3712 3884 6728 7424 7768 13456 15536 26912 28159 31072 53824 56318 62144 107648 112636 124288 215296 225272 248576 450544 816611 901088 942841 1633222 1802176 1885682 3266444 3604352 3771364 6532888 7208704 7542728 13065776 15085456 26131552 27342389 30170912 52263104 54684778 60341824 104526208 109369556 120683648 209052416 218739112 241367296 437478224 792929281 874956448 1585858562 1749912896 3171717124 3499825792 6343434248 6999651584 12686868496 25373736992 50747473984 101494947968 202989895936