Search a number
-
+
204745435557 = 313223295931021
BaseRepresentation
bin1011111010101111000…
…1110110100110100101
3201120111001122210021220
42332223301312212211
511323304312414212
6234020405130553
720535532326045
oct2765361664645
9646431583256
10204745435557
1179917508173
12338209b9a59
13163cc4ca900
149ca4439725
1554d4d9438c
hex2fabc769a5

204745435557 has 96 divisors (see below), whose sum is σ = 319949118720. Its totient is φ = 116053217280.

The previous prime is 204745435523. The next prime is 204745435579. The reversal of 204745435557 is 755534547402.

It is not a de Polignac number, because 204745435557 - 212 = 204745431461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204745435157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200533707 + ... + 200534727.

It is an arithmetic number, because the mean of its divisors is an integer number (3332803320).

Almost surely, 2204745435557 is an apocalyptic number.

It is an amenable number.

204745435557 is a deficient number, since it is larger than the sum of its proper divisors (115203683163).

204745435557 is a wasteful number, since it uses less digits than its factorization.

204745435557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 51.

The spelling of 204745435557 in words is "two hundred four billion, seven hundred forty-five million, four hundred thirty-five thousand, five hundred fifty-seven".

Divisors: 1 3 13 23 29 39 69 87 169 299 377 507 593 667 897 1021 1131 1779 2001 3063 3887 4901 7709 8671 11661 13273 13639 14703 17197 23127 23483 26013 29609 39819 40917 51591 70449 88827 100217 112723 172549 177307 223561 300651 305279 338169 384917 395531 517647 531921 605453 670683 681007 915837 1154751 1186593 1816359 2043021 2304991 2906293 3968627 5003921 5141903 6914973 7870889 8718879 8853091 11905881 13925419 15011763 15425709 17558137 23612667 26559273 41776257 52674411 66844739 102321557 115090183 181030447 200534217 228255781 306964671 345270549 403837151 543091341 684767343 1211511453 2353395811 2967325153 5249882963 7060187433 8901975459 15749648889 68248478519 204745435557