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83410657480 = 23541472813851
BaseRepresentation
bin100110110101110101…
…0011010000011001000
321222022000212102111101
41031223222122003020
52331311112014410
6102152431511144
76011664614263
oct1155352320310
9258260772441
1083410657480
1132413161577
12141ba0884b4
137b3391c837
144073b1bcda
152282b2dd3a
hex136ba9a0c8

83410657480 has 128 divisors (see below), whose sum is σ = 197091740160. Its totient is φ = 31736320000.

The previous prime is 83410657469. The next prime is 83410657489. The reversal of 83410657480 is 8475601438.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83410657480.

It is not an unprimeable number, because it can be changed into a prime (83410657489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21657555 + ... + 21661405.

It is an arithmetic number, because the mean of its divisors is an integer number (1539779220).

Almost surely, 283410657480 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 83410657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98545870080).

83410657480 is an abundant number, since it is smaller than the sum of its proper divisors (113681082680).

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

83410657480 is a wasteful number, since it uses less digits than its factorization.

83410657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 83410657480 in words is "eighty-three billion, four hundred ten million, six hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 281 328 376 410 470 562 820 940 1124 1405 1640 1880 1927 2248 2810 3851 3854 5620 7702 7708 9635 11240 11521 13207 15404 15416 19255 19270 23042 26414 30808 38510 38540 46084 52828 57605 66035 77020 77080 92168 105656 115210 132070 154040 157891 180997 230420 264140 315782 361994 460840 528280 541487 631564 723988 789455 904985 1082131 1082974 1263128 1447976 1578910 1809970 2164262 2165948 2707435 3157820 3619940 4328524 4331896 5410655 5414870 6315640 7239880 7420877 8657048 10821310 10829740 14841754 21642620 21659480 29683508 37104385 43285240 44367371 50860157 59367016 74208770 88734742 101720314 148417540 177469484 203440628 221836855 254300785 296835080 354938968 406881256 443673710 508601570 887347420 1017203140 1774694840 2034406280 2085266437 4170532874 8341065748 10426332185 16682131496 20852664370 41705328740 83410657480