Search a number
-
+
204940828152 = 23322846400391
BaseRepresentation
bin1011111011011101101…
…1001101110111111000
3201120222200022202112200
42332313123031313320
511324204323000102
6234052025110200
720543424203544
oct2766733156770
9646880282480
10204940828152
1179a07833555
1233876328360
1316430b30a28
149cc237ca24
1554e70dd51c
hex2fb76cddf8

204940828152 has 24 divisors (see below), whose sum is σ = 555048076440. Its totient is φ = 68313609360.

The previous prime is 204940828123. The next prime is 204940828231. The reversal of 204940828152 is 251828049402.

204940828152 is a `hidden beast` number, since 2 + 0 + 494 + 0 + 8 + 2 + 8 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 204940828098 and 204940828107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1423200124 + ... + 1423200267.

It is an arithmetic number, because the mean of its divisors is an integer number (23127003185).

Almost surely, 2204940828152 is an apocalyptic number.

It is an amenable number.

204940828152 is an abundant number, since it is smaller than the sum of its proper divisors (350107248288).

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

204940828152 is a wasteful number, since it uses less digits than its factorization.

204940828152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846400403 (or 2846400396 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 204940828152 in words is "two hundred four billion, nine hundred forty million, eight hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2846400391 5692800782 8539201173 11385601564 17078402346 22771203128 25617603519 34156804692 51235207038 68313609384 102470414076 204940828152