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202052043444352 = 27174314914492711
BaseRepresentation
bin101101111100001111101000…
…010001101001000010000000
3222111101222122022101210211111
4231330033220101221002000
5202440410041110204402
61553421232150053104
760362530664642203
oct5574175021510200
9874358568353744
10202052043444352
115941a877047172
121a7b305864a194
13889856ca3b82a
1437c752a36b93a
151855c860069d7
hexb7c3e8469080

202052043444352 has 128 divisors (see below), whose sum is σ = 439042217328000. Its totient is φ = 92248765808640.

The previous prime is 202052043444287. The next prime is 202052043444413. The reversal of 202052043444352 is 253444340250202.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6695277 + ... + 21187987.

It is an arithmetic number, because the mean of its divisors is an integer number (3430017322875).

Almost surely, 2202052043444352 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 202052043444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219521108664000).

202052043444352 is an abundant number, since it is smaller than the sum of its proper divisors (236990173883648).

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

202052043444352 is a wasteful number, since it uses less digits than its factorization.

202052043444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492934 (or 14492922 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 202052043444352 its reverse (253444340250202), we get a palindrome (455496383694554).

The spelling of 202052043444352 in words is "two hundred two trillion, fifty-two billion, forty-three million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 149 172 272 298 344 544 596 688 731 1088 1192 1376 1462 2176 2384 2533 2752 2924 4768 5066 5504 5848 6407 9536 10132 11696 12814 19072 20264 23392 25628 40528 46784 51256 81056 93568 102512 108919 162112 205024 217838 324224 410048 435676 820096 871352 1742704 3485408 6970816 13941632 14492711 28985422 57970844 115941688 231883376 246376087 463766752 492752174 623186573 927533504 985504348 1246373146 1855067008 1971008696 2159413939 2492746292 3942017392 4318827878 4985492584 7884034784 8637655756 9970985168 10594171741 15768069568 17275311512 19941970336 21188343482 31536139136 34550623024 36710036963 39883940672 42376686964 69101246048 73420073926 79767881344 84753373928 92854799377 138202492096 146840147852 169506747856 185709598754 276404984192 293680295704 339013495712 371419197508 587360591408 678026991424 742838395016 1174721182816 1356053982848 1485676790032 1578531589409 2349442365632 2971353580064 3157063178818 4698884731264 5942707160128 6314126357636 11885414320256 12628252715272 25256505430544 50513010861088 101026021722176 202052043444352