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202010145145216 = 2789151111735693
BaseRepresentation
bin101101111011101000100110…
…111100010100000110000000
3222111020222111100100200110121
4231323220212330110012000
5202434213234124121331
61553350102440110024
760356515500164452
oct5573504674240600
9874228440320417
10202010145145216
11594040265a4971
121a7a6b04a65314
1388946235cc955
1437c54b3a1a2d2
151854b32a4ac11
hexb7ba26f14180

202010145145216 has 64 divisors (see below), whose sum is σ = 407233276077600. Its totient is φ = 99804080189440.

The previous prime is 202010145145189. The next prime is 202010145145241. The reversal of 202010145145216 is 612541541010202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11345466 + ... + 23081158.

Almost surely, 2202010145145216 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 202010145145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203616638038800).

202010145145216 is an abundant number, since it is smaller than the sum of its proper divisors (205223130932384).

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

202010145145216 is a wasteful number, since it uses less digits than its factorization.

202010145145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737307 (or 11737295 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 202010145145216 its reverse (612541541010202), we get a palindrome (814551686155418).

The spelling of 202010145145216 in words is "two hundred two trillion, ten billion, one hundred forty-five million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 1511 2848 3022 5696 6044 11392 12088 24176 48352 96704 134479 193408 268958 537916 1075832 2151664 4303328 8606656 11735693 17213312 23471386 46942772 93885544 187771088 375542176 751084352 1044476677 1502168704 2088953354 4177906708 8355813416 16711626832 17732632123 33423253664 35465264246 66846507328 70930528492 133693014656 141861056984 283722113968 567444227936 1134888455872 1578204258947 2269776911744 3156408517894 6312817035788 12625634071576 25251268143152 50502536286304 101005072572608 202010145145216