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5014532864 = 281123139557
BaseRepresentation
bin1001010101110001…
…11011001100000000
3110221110201122220102
410222320323030000
540232210022424
62145330501532
7235156553225
oct45270731400
913843648812
105014532864
112143633840
12b7b4348a8
1361bb79713
14357da594c
151e53777ae
hex12ae3b300

5014532864 has 144 divisors (see below), whose sum is σ = 11496764160. Its totient is φ = 2160660480.

The previous prime is 5014532837. The next prime is 5014532869. The reversal of 5014532864 is 4682354105.

It is not an unprimeable number, because it can be changed into a prime (5014532869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9002474 + ... + 9003030.

It is an arithmetic number, because the mean of its divisors is an integer number (79838640).

Almost surely, 25014532864 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 5014532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748382080).

5014532864 is an abundant number, since it is smaller than the sum of its proper divisors (6482231296).

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

5014532864 is a wasteful number, since it uses less digits than its factorization.

5014532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 5014532864 is about 70813.3664218839. The cubic root of 5014532864 is about 1711.6310673265.

Adding to 5014532864 its reverse (4682354105), we get a palindrome (9696886969).

The spelling of 5014532864 in words is "five billion, fourteen million, five hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 139 176 184 253 256 278 352 368 506 556 557 704 736 1012 1112 1114 1408 1472 1529 2024 2224 2228 2816 2944 3058 3197 4048 4448 4456 5888 6116 6127 6394 8096 8896 8912 12232 12254 12788 12811 16192 17792 17824 24464 24508 25576 25622 32384 35167 35584 35648 48928 49016 51152 51244 64768 70334 71296 77423 97856 98032 102304 102488 140668 140921 142592 154846 195712 196064 204608 204976 281336 281842 309692 391424 392128 409216 409952 562672 563684 619384 784256 818432 819904 851653 1125344 1127368 1238768 1568512 1639808 1703306 1780729 2250688 2254736 2477536 3279616 3406612 3561458 4501376 4509472 4955072 6813224 7122916 9002752 9018944 9910144 13626448 14245832 18037888 19588019 19820288 27252896 28491664 36075776 39176038 54505792 56983328 78352076 109011584 113966656 156704152 218023168 227933312 313408304 455866624 626816608 1253633216 2507266432 5014532864