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64248905106 = 23331411635743
BaseRepresentation
bin111011110101100010…
…000111110110010010
320010211121122112211000
4323311202013312102
52023040204430411
645303205002430
74433101453101
oct736542076622
9203747575730
1064248905106
112527a917391
12105509b3416
13609bac9b19
143176cba038
151a10792956
hexef5887d92

64248905106 has 128 divisors (see below), whose sum is σ = 151928340480. Its totient is φ = 20092406400.

The previous prime is 64248905093. The next prime is 64248905141. The reversal of 64248905106 is 60150984246.

64248905106 is a `hidden beast` number, since 6 + 4 + 2 + 48 + 90 + 510 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11184471 + ... + 11190213.

It is an arithmetic number, because the mean of its divisors is an integer number (1186940160).

Almost surely, 264248905106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64248905106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75964170240).

64248905106 is an abundant number, since it is smaller than the sum of its proper divisors (87679435374).

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

64248905106 is a wasteful number, since it uses less digits than its factorization.

64248905106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 64248905106 in words is "sixty-four billion, two hundred forty-eight million, nine hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 163 186 246 279 326 369 489 558 738 837 978 1107 1271 1467 1674 2214 2542 2934 3813 4401 5053 5743 6683 7626 8802 10106 11439 11486 13366 15159 17229 20049 22878 30318 34317 34458 40098 45477 51687 60147 68634 90954 103374 120294 136431 155061 178033 180441 207173 235463 272862 310122 356066 360882 414346 470926 534099 621519 706389 936109 1068198 1243038 1412778 1602297 1864557 1872218 2119167 2808327 3204594 3729114 4238334 4806891 5593671 5616654 6357501 7299353 8424981 9613782 11187342 12715002 14598706 16849962 21898059 25274943 29019379 38380469 43796118 50549886 58038758 65694177 76760938 87058137 115141407 131388354 174116274 197082531 230282814 261174411 345424221 394165062 522348822 690848442 783523233 1036272663 1189794539 1567046466 2072545326 2379589078 3569383617 7138767234 10708150851 21416301702 32124452553 64248905106