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204891855633936 = 243211928372
BaseRepresentation
bin101110100101100100011010…
…010001011011111000010000
3222212110110200201001011211100
4232211210122101123320100
5203323422010020241221
62003434004040544400
761104643121164662
oct5645443221337020
9885413621034740
10204891855633936
115a315169a92a69
121ab914b7a82100
138a432b0424ba3
143884b66822532
1518a4a92560926
hexba591a45be10

204891855633936 has 45 divisors (see below), whose sum is σ = 573413104467021. Its totient is φ = 68297227955136.

The previous prime is 204891855633919. The next prime is 204891855633953. The reversal of 204891855633936 is 639336558198402.

The square root of 204891855633936 is 14314044.

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

204891855633936 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 9 + 1 + 8 + 556 + 3 + 39 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (204891855633919) and next prime (204891855633953).

It can be written as a sum of positive squares in only one way, i.e., 174634639203600 + 30257216430336 = 13214940^2 + 5500656^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 171172110 + ... + 172364946.

Almost surely, 2204891855633936 is an apocalyptic number.

204891855633936 is the 14314044-th square number.

It is an amenable number.

204891855633936 is an abundant number, since it is smaller than the sum of its proper divisors (368521248833085).

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

204891855633936 is an frugal number, since it uses more digits than its factorization.

204891855633936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385688 (or 1192842 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 204891855633936 in words is "two hundred four trillion, eight hundred ninety-one billion, eight hundred fifty-five million, six hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1192837 2385674 3578511 4771348 7157022 9542696 10735533 14314044 19085392 21471066 28628088 42942132 57256176 85884264 171768528 1422860108569 2845720217138 4268580325707 5691440434276 8537160651414 11382880868552 12805740977121 17074321302828 22765761737104 25611481954242 34148642605656 51222963908484 68297285211312 102445927816968 204891855633936