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63098928016 = 24172961711847
BaseRepresentation
bin111010110000111111…
…010011101110010000
320000212110202122210221
4322300333103232100
52013211311144031
644553125002424
74362436016155
oct726077235620
9200773678727
1063098928016
112483a7775a3
121028b853414
135c4779b2c7
1430a828c22c
151994838a11
hexeb0fd3b90

63098928016 has 160 divisors (see below), whose sum is σ = 138096161280. Its totient is φ = 27787468800.

The previous prime is 63098928007. The next prime is 63098928017. The reversal of 63098928016 is 61082989036.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (63098928017) 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, 34162005 + ... + 34163851.

It is an arithmetic number, because the mean of its divisors is an integer number (863101008).

Almost surely, 263098928016 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 63098928016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048080640).

63098928016 is an abundant number, since it is smaller than the sum of its proper divisors (74997233264).

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

63098928016 is a wasteful number, since it uses less digits than its factorization.

63098928016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 63098928016 in words is "sixty-three billion, ninety-eight million, nine hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 29 34 58 61 68 71 116 122 136 142 232 244 272 284 464 488 493 568 976 986 1037 1136 1207 1769 1847 1972 2059 2074 2414 3538 3694 3944 4118 4148 4331 4828 7076 7388 7888 8236 8296 8662 9656 14152 14776 16472 16592 17324 19312 28304 29552 30073 31399 32944 34648 35003 53563 60146 62798 69296 70006 73627 107126 112667 120292 125596 125599 131137 140012 147254 214252 225334 240584 251192 251198 262274 280024 294508 428504 450668 481168 502384 502396 524548 560048 589016 857008 901336 910571 1004792 1049096 1178032 1802672 1821142 1915339 2009584 2098192 2135183 2229329 3267343 3642284 3802973 3830678 4270366 4458658 6534686 7284568 7605946 7661356 7999357 8540732 8917316 13069372 14569136 15211892 15322712 15998714 17081464 17834632 26138744 30423784 30645424 31997428 34162928 35669264 52277488 55544831 60847568 63994856 64650541 111089662 127989712 129301082 135989069 222179324 231981353 258602164 271978138 444358648 463962706 517204328 543956276 888717296 927925412 1034408656 1087912552 1855850824 2175825104 3711701648 3943683001 7887366002 15774732004 31549464008 63098928016