Search a number
-
+
85227370407744 = 26313910193133927
BaseRepresentation
bin10011011000001110001011…
…001000110110011101000000
3102011202122201222111121110220
4103120032023020312131000
542132331123311021434
6501132525150023040
723644321455344565
oct2330161310663500
9364678658447426
1085227370407744
11251797a77a4294
129685775aa7a80
133872ba28a6296
14170905352086c
159cbe5d42ed49
hex4d838b236740

85227370407744 has 112 divisors (see below), whose sum is σ = 227342658547200. Its totient is φ = 28177053451776.

The previous prime is 85227370407727. The next prime is 85227370407749. The reversal of 85227370407744 is 44770407372258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85227370407749) 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, 25628109 + ... + 28762035.

It is an arithmetic number, because the mean of its divisors is an integer number (2029845165600).

Almost surely, 285227370407744 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 85227370407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113671329273600).

85227370407744 is an abundant number, since it is smaller than the sum of its proper divisors (142115288139456).

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

85227370407744 is a wasteful number, since it uses less digits than its factorization.

85227370407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135100 (or 3135090 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 60.

The spelling of 85227370407744 in words is "eighty-five trillion, two hundred twenty-seven billion, three hundred seventy million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1019 1112 1668 2038 2224 3057 3336 4076 4448 6114 6672 8152 8896 12228 13344 16304 24456 26688 32608 48912 65216 97824 141641 195648 283282 424923 566564 849846 1133128 1699692 2266256 3133927 3399384 4532512 6267854 6798768 9065024 9401781 12535708 13597536 18803562 25071416 27195072 37607124 50142832 75214248 100285664 150428496 200571328 300856992 435615853 601713984 871231706 1306847559 1742463412 2613695118 3193471613 3484926824 5227390236 6386943226 6969853648 9580414839 10454780472 12773886452 13939707296 19160829678 20909560944 25547772904 27879414592 38321659356 41819121888 51095545808 76643318712 83638243776 102191091616 153286637424 204382183232 306573274848 443892554207 613146549696 887785108414 1331677662621 1775570216828 2663355325242 3551140433656 5326710650484 7102280867312 10653421300968 14204561734624 21306842601936 28409123469248 42613685203872 85227370407744