Search a number
-
+
63037138864 = 24717234633109
BaseRepresentation
bin111010101101010011…
…100110011110110000
320000201011111110000211
4322231103212132300
52013100001420424
644543040353504
74361055560650
oct725523463660
9200634443024
1063037138864
1124808904487
1210273015894
135c37a45b8b
14309dda6360
15198e1d0b94
hexead4e67b0

63037138864 has 160 divisors (see below), whose sum is σ = 154601533440. Its totient is φ = 24260898816.

The previous prime is 63037138811. The next prime is 63037138877. The reversal of 63037138864 is 46883173036.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20274142 + ... + 20277250.

It is an arithmetic number, because the mean of its divisors is an integer number (966259584).

Almost surely, 263037138864 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 63037138864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77300766720).

63037138864 is an abundant number, since it is smaller than the sum of its proper divisors (91564394576).

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

63037138864 is a wasteful number, since it uses less digits than its factorization.

63037138864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 63037138864 in words is "sixty-three billion, thirty-seven million, one hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 463 476 644 782 926 952 1288 1564 1852 1904 2576 2737 3109 3128 3241 3704 5474 6218 6256 6482 7408 7871 10649 10948 12436 12964 15742 21298 21763 21896 24872 25928 31484 42596 43526 43792 49744 51856 52853 55097 62968 71507 74543 85192 87052 105706 110194 125936 143014 149086 170384 174104 181033 211412 220388 286028 298172 348208 362066 369971 422824 440776 500549 572056 596344 724132 739942 845648 881552 1001098 1144112 1192688 1215619 1267231 1439467 1448264 1479884 2002196 2431238 2534462 2878934 2896528 2959768 4004392 4862476 5068924 5757868 5919536 8008784 8509333 9724952 10076269 10137848 11515736 17018666 19449904 20152538 20275696 23031472 24470939 33107741 34037332 40305076 48941878 66215482 68074664 80610152 97883756 132430964 136149328 161220304 171296573 195767512 231754187 264861928 342593146 391535024 463508374 529723856 562831597 685186292 927016748 1125663194 1370372584 1854033496 2251326388 2740745168 3708066992 3939821179 4502652776 7879642358 9005305552 15759284716 31518569432 63037138864