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63369696336 = 243731011371307
BaseRepresentation
bin111011000001001000…
…001101010001010000
320001120100021010010020
4323001020031101100
52014240120240321
645040040303440
74402234350162
oct730110152120
9201510233106
1063369696336
11249695a5871
1210346471b80
135c8b902a4b
1430d2212932
1519ad4c14c6
hexec120d450

63369696336 has 160 divisors (see below), whose sum is σ = 168943079808. Its totient is φ = 20461363200.

The previous prime is 63369696329. The next prime is 63369696361.

63369696336 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 63369696336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48484195 + ... + 48485501.

Almost surely, 263369696336 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 63369696336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84471539904).

63369696336 is an abundant number, since it is smaller than the sum of its proper divisors (105573383472).

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

63369696336 is a wasteful number, since it uses less digits than its factorization.

63369696336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its digits is 51018336, while the sum is 60.

The spelling of 63369696336 in words is "sixty-three billion, three hundred sixty-nine million, six hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 101 137 146 202 219 274 292 303 404 411 438 548 584 606 808 822 876 1096 1168 1212 1307 1616 1644 1752 2192 2424 2614 3288 3504 3921 4848 5228 6576 7373 7842 10001 10456 13837 14746 15684 20002 20912 22119 27674 29492 30003 31368 40004 41511 44238 55348 58984 60006 62736 80008 83022 88476 95411 110696 117968 120012 132007 160016 166044 176952 179059 190822 221392 240024 264014 286233 332088 353904 358118 381644 396021 480048 528028 537177 572466 664176 716236 763288 792042 1010101 1056056 1074354 1144932 1432472 1526576 1584084 2020202 2112112 2148708 2289864 2864944 3030303 3168168 4040404 4297416 4579728 6060606 6336336 8080808 8594832 9636511 12121212 13071307 16161616 18084959 19273022 24242424 26142614 28909533 36169918 38546044 39213921 48484848 52285228 54254877 57819066 72339836 77092088 78427842 104570456 108509754 115638132 144679672 154184176 156855684 209140912 217019508 231276264 289359344 313711368 434039016 462552528 627422736 868078032 1320202007 2640404014 3960606021 5280808028 7921212042 10561616056 15842424084 21123232112 31684848168 63369696336