Search a number
-
+
61828073032710 = 23512726993601187
BaseRepresentation
bin11100000111011011110000…
…10101001000110000000110
322002220201001201022111122010
432003231320111020300012
531100442343144021320
6335255231415515050
716010634200351055
oct1603557025106006
9262821051274563
1061828073032710
1118778158410776
126b26840688a86
132866492ba244a
14113a6cd66639c
15723453e9bae0
hex383b78548c06

61828073032710 has 64 divisors (see below), whose sum is σ = 149561569124352. Its totient is φ = 16357030212096.

The previous prime is 61828073032709. The next prime is 61828073032711. The reversal of 61828073032710 is 1723037082816.

It is an interprime number because it is at equal distance from previous prime (61828073032709) and next prime (61828073032711).

It is a super-2 number, since 2×618280730327102 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61828073032710.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61828073032711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102542737 + ... + 103143923.

It is an arithmetic number, because the mean of its divisors is an integer number (2336899517568).

Almost surely, 261828073032710 is an apocalyptic number.

61828073032710 is an abundant number, since it is smaller than the sum of its proper divisors (87733496091642).

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

61828073032710 is a wasteful number, since it uses less digits than its factorization.

61828073032710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628317.

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 61828073032710 in words is "sixty-one trillion, eight hundred twenty-eight billion, seventy-three million, thirty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 3810 26993 53986 80979 134965 161958 269930 404895 601187 809790 1202374 1803561 3005935 3428111 3607122 6011870 6856222 9017805 10284333 17140555 18035610 20568666 34281110 51421665 76350749 102843330 152701498 229052247 381753745 458104494 763507490 1145261235 2290522470 16227840691 32455681382 48683522073 81139203455 97367044146 162278406910 243417610365 486835220730 2060935767757 4121871535514 6182807303271 10304678838785 12365614606542 20609357677570 30914036516355 61828073032710