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61030115072 = 2823412411049
BaseRepresentation
bin111000110101101011…
…011010011100000000
312211112021221001222022
4320311223122130000
51444442202140242
644011543101012
74260245263433
oct706553323400
9184467831868
1061030115072
11239789aa833
12b9b2a41768
1359a7cac834
142d4d5dd81a
1518c2dd20d2
hexe35ada700

61030115072 has 144 divisors (see below), whose sum is σ = 130883860800. Its totient is φ = 28331212800.

The previous prime is 61030115033. The next prime is 61030115077. The reversal of 61030115072 is 27051103016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61030115077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58178804 + ... + 58179852.

It is an arithmetic number, because the mean of its divisors is an integer number (908915700).

Almost surely, 261030115072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61030115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65441930400).

61030115072 is an abundant number, since it is smaller than the sum of its proper divisors (69853745728).

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

61030115072 is a wasteful number, since it uses less digits than its factorization.

61030115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 61030115072 its reverse (27051103016), we get a palindrome (88081218088).

The spelling of 61030115072 in words is "sixty-one billion, thirty million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 241 256 328 368 482 656 736 943 964 1049 1312 1472 1886 1928 2098 2624 2944 3772 3856 4196 5248 5543 5888 7544 7712 8392 9881 10496 11086 15088 15424 16784 19762 22172 24127 30176 30848 33568 39524 43009 44344 48254 60352 61696 67136 79048 86018 88688 96508 120704 134272 158096 172036 177376 193016 227263 241408 252809 268544 316192 344072 354752 386032 454526 505618 632384 688144 709504 772064 909052 989207 1011236 1264768 1376288 1419008 1544128 1818104 1978414 2022472 2529536 2752576 3088256 3636208 3956828 4044944 5505152 5814607 6176512 7272416 7913656 8089888 10365169 11010304 11629214 14544832 15827312 16179776 20730338 23258428 29089664 31654624 32359552 41460676 46516856 58179328 63309248 64719104 82921352 93033712 126618496 165842704 186067424 238398887 253236992 331685408 372134848 476797774 663370816 744269696 953595548 1326741632 1488539392 1907191096 2653483264 3814382192 7628764384 15257528768 30515057536 61030115072