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63567340340 = 22572532934177
BaseRepresentation
bin111011001100111010…
…001010001100110100
320002002010011110201112
4323030322022030310
52020141214342330
645111420414152
74410154322600
oct731472121464
9202063143645
1063567340340
1124a60119719
12103a06a7358
135cc084386a
143110580500
1519c0a12795
hexecce8a334

63567340340 has 144 divisors (see below), whose sum is σ = 158793847632. Its totient is φ = 21305217024.

The previous prime is 63567340327. The next prime is 63567340411. The reversal of 63567340340 is 4304376536.

63567340340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18628428196 + 44938912144 = 136486^2 + 211988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15216332 + ... + 15220508.

It is an arithmetic number, because the mean of its divisors is an integer number (1102735053).

Almost surely, 263567340340 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 63567340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79396923816).

63567340340 is an abundant number, since it is smaller than the sum of its proper divisors (95226507292).

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

63567340340 is a wasteful number, since it uses less digits than its factorization.

63567340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 41.

The spelling of 63567340340 in words is "sixty-three billion, five hundred sixty-seven million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 293 371 490 530 586 742 980 1060 1172 1465 1484 1855 2051 2597 2930 3710 4102 4177 5194 5860 7420 8204 8354 10255 10388 12985 14357 15529 16708 20510 20885 25970 28714 29239 31058 41020 41770 51940 57428 58478 62116 71785 77645 83540 108703 116956 143570 146195 155290 204673 217406 221381 287140 292390 310580 409346 434812 442762 543515 584780 760921 818692 885524 1023365 1087030 1106905 1223861 1521842 1549667 2046730 2174060 2213810 2447722 3043684 3099334 3804605 4093460 4427620 4895444 6119305 6198668 7609210 7748335 8567027 10847669 12238610 15218420 15496670 17134054 21695338 24477220 30993340 34268108 42835135 43390676 54238345 59969189 64864633 85670270 108476690 119938378 129729266 171340540 216953380 239876756 259458532 299845945 324323165 454052431 599691890 648646330 908104862 1199383780 1297292660 1816209724 2270262155 3178367017 4540524310 6356734034 9081048620 12713468068 15891835085 31783670170 63567340340