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84742324416 = 2634127912781
BaseRepresentation
bin100111011101100001…
…0010100000011000000
322002201211122010010000
41032323002110003000
52342023013340131
6102532522040000
76056664605211
oct1167302240300
9262654563100
1084742324416
1132a36918662
1214510049000
137cb6794439
14415c923408
15230e9c6ce6
hex13bb0940c0

84742324416 has 140 divisors (see below), whose sum is σ = 251418872320. Its totient is φ = 28223147520.

The previous prime is 84742324411. The next prime is 84742324423. The reversal of 84742324416 is 61442324748.

It is not an unprimeable number, because it can be changed into a prime (84742324411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6623946 + ... + 6636726.

It is an arithmetic number, because the mean of its divisors is an integer number (1795849088).

Almost surely, 284742324416 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 84742324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125709436160).

84742324416 is an abundant number, since it is smaller than the sum of its proper divisors (166676547904).

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

84742324416 is a wasteful number, since it uses less digits than its factorization.

84742324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14065 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 84742324416 in words is "eighty-four billion, seven hundred forty-two million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1279 1296 1728 2558 2592 3837 5116 5184 7674 10232 11511 12781 15348 20464 23022 25562 30696 34533 38343 40928 46044 51124 61392 69066 76686 81856 92088 102248 103599 115029 122784 138132 153372 184176 204496 207198 230058 245568 276264 306744 345087 368352 408992 414396 460116 552528 613488 690174 736704 817984 828792 920232 1035261 1105056 1226976 1380348 1657584 1840464 2070522 2210112 2453952 2760696 3315168 3680928 4141044 5521392 6630336 7361856 8282088 11042784 16346899 16564176 22085568 32693798 33128352 49040697 65387596 66256704 98081394 130775192 147122091 196162788 261550384 294244182 392325576 441366273 523100768 588488364 784651152 882732546 1046201536 1176976728 1324098819 1569302304 1765465092 2353953456 2648197638 3138604608 3530930184 4707906912 5296395276 7061860368 9415813824 10592790552 14123720736 21185581104 28247441472 42371162208 84742324416