Search a number
-
+
61283149725 = 352732519491
BaseRepresentation
bin111001000100110000…
…101010011110011101
312212011221001120021010
4321010300222132131
52001001441242400
644053022325433
74266440115000
oct710460523635
9185157046233
1061283149725
1123a98816486
12ba63729879
135a18545595
142d75069537
1518da215450
hexe44c2a79d

61283149725 has 96 divisors (see below), whose sum is σ = 118642406400. Its totient is φ = 27900600000.

The previous prime is 61283149723. The next prime is 61283149777. The reversal of 61283149725 is 52794138216.

61283149725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61283149725 - 21 = 61283149723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61283149721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6452230 + ... + 6461720.

It is an arithmetic number, because the mean of its divisors is an integer number (1235858400).

Almost surely, 261283149725 is an apocalyptic number.

It is an amenable number.

61283149725 is a deficient number, since it is larger than the sum of its proper divisors (57359256675).

61283149725 is a wasteful number, since it uses less digits than its factorization.

61283149725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9757 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 61283149725 in words is "sixty-one billion, two hundred eighty-three million, one hundred forty-nine thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 251 343 525 735 753 1029 1225 1255 1715 1757 3675 3765 5145 5271 6275 8575 8785 9491 12299 18825 25725 26355 28473 36897 43925 47455 61495 66437 86093 131775 142365 184485 199311 237275 258279 307475 332185 430465 465059 711825 922425 996555 1291395 1395177 1660925 2152325 2325295 2382241 3255413 4982775 6456975 6975885 7146723 9766239 11626475 11911205 16277065 16675687 34879425 35733615 48831195 50027061 59556025 81385325 83378435 116729809 178668075 244155975 250135305 350189427 416892175 583649045 817108663 1250676525 1750947135 2451325989 2918245225 4085543315 8754735675 12256629945 20427716575 61283149725