Search a number
-
+
78483185380752 = 24319331571455321
BaseRepresentation
bin10001110110000101001010…
…011000101010110110010000
3101021212220211010112201120120
4101312011022120222312100
540241332030424141002
6434530402211110240
722350136332436245
oct2166051230526620
9337786733481516
1078483185380752
1123009594105509
128976697ba2380
1334a3c17c91589
14155486c1035cc
159117db2d4cbc
hex47614a62ad90

78483185380752 has 160 divisors (see below), whose sum is σ = 214439323338240. Its totient is φ = 24665959296000.

The previous prime is 78483185380723. The next prime is 78483185380759. The reversal of 78483185380752 is 25708358138487.

It is a super-2 number, since 2×784831853807522 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78483185380759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172141252 + ... + 172596572.

It is an arithmetic number, because the mean of its divisors is an integer number (1340245770864).

Almost surely, 278483185380752 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 78483185380752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107219661669120).

78483185380752 is an abundant number, since it is smaller than the sum of its proper divisors (135956137957488).

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

78483185380752 is a wasteful number, since it uses less digits than its factorization.

78483185380752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456253 (or 456247 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 78483185380752 in words is "seventy-eight trillion, four hundred eighty-three billion, one hundred eighty-five million, three hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 331 456 571 662 912 993 1142 1324 1713 1986 2284 2648 3426 3972 4568 5296 6289 6852 7944 9136 10849 12578 13704 15888 18867 21698 25156 27408 32547 37734 43396 50312 65094 75468 86792 100624 130188 150936 173584 189001 260376 301872 378002 455321 520752 567003 756004 910642 1134006 1365963 1512008 1821284 2268012 2731926 3024016 3591019 3642568 4536024 5463852 7182038 7285136 8651099 9072048 10773057 10927704 14364076 17302198 21546114 21855408 25953297 28728152 34604396 43092228 51906594 57456304 69208792 86184456 103813188 138417584 150711251 172368912 207626376 259988291 301422502 415252752 452133753 519976582 602845004 779964873 904267506 1039953164 1205690008 1559929746 1808535012 2079906328 2411380016 2863513769 3119859492 3617070024 4159812656 4939777529 5727027538 6239718984 7234140048 8590541307 9879555058 11454055076 12479437968 14819332587 17181082614 19759110116 22908110152 29638665174 34362165228 39518220232 45816220304 59277330348 68724330456 79036440464 86056124321 118554660696 137448660912 172112248642 237109321392 258168372963 344224497284 516336745926 688448994568 1032673491852 1376897989136 1635066362099 2065346983704 3270132724198 4130693967408 4905199086297 6540265448396 9810398172594 13080530896792 19620796345188 26161061793584 39241592690376 78483185380752