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202159144919824 = 242572138312
BaseRepresentation
bin101101111101110011011000…
…000001010110001100010000
3222111210020002101201111001021
4231331303120001112030100
5202444133412044413244
61553542343514245224
760403342032315631
oct5575633001261420
9874706071644037
10202159144919824
1159461237035964
121a80b968726814
1388a56aa893461
1437cc7aa601888
151858953902284
hexb7dcd8056310

202159144919824 has 45 divisors (see below), whose sum is σ = 393241765088181. Its totient is φ = 100678986977280.

The previous prime is 202159144919813. The next prime is 202159144919843. The reversal of 202159144919824 is 428919441951202.

The square root of 202159144919824 is 14218268.

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., 199024942064400 + 3134202855424 = 14107620^2 + 1770368^2 .

It is a Duffinian number.

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, 14616372589 + ... + 14616386419.

Almost surely, 2202159144919824 is an apocalyptic number.

202159144919824 is the 14218268-th square number.

It is an amenable number.

202159144919824 is a deficient number, since it is larger than the sum of its proper divisors (191082620168357).

202159144919824 is an frugal number, since it uses more digits than its factorization.

202159144919824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28184 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 202159144919824 in words is "two hundred two trillion, one hundred fifty-nine billion, one hundred forty-four million, nine hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 257 514 1028 2056 4112 13831 27662 55324 66049 110648 132098 221296 264196 528392 1056784 3554567 7109134 14218268 28436536 56873072 191296561 382593122 765186244 913523719 1530372488 1827047438 3060744976 3654094876 7308189752 14616379504 49163216177 98326432354 196652864708 393305729416 786611458832 12634946557489 25269893114978 50539786229956 101079572459912 202159144919824