Search a number
-
+
78516532992 = 283232193261
BaseRepresentation
bin100100100011111110…
…0110011011100000000
321111122221201010211110
41021013330303130000
52241300213023432
6100023041443320
75446466342622
oct1110774633400
9244587633743
1078516532992
1130331599397
1213273040540
1375339b0ba1
143b2bb3ac12
15209813cdcc
hex1247f33700

78516532992 has 108 divisors (see below), whose sum is σ = 218450222984. Its totient is φ = 25034127360.

The previous prime is 78516532933. The next prime is 78516532993. The reversal of 78516532992 is 29923561587.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78516532993) 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 11 ways as a sum of consecutive naturals, for example, 309642 + ... + 502902.

Almost surely, 278516532992 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 78516532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109225111492).

78516532992 is an abundant number, since it is smaller than the sum of its proper divisors (139933689992).

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

78516532992 is a wasteful number, since it uses less digits than its factorization.

78516532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193326 (or 193289 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The spelling of 78516532992 in words is "seventy-eight billion, five hundred sixteen million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 529 552 736 768 1058 1104 1472 1587 2116 2208 2944 3174 4232 4416 5888 6348 8464 8832 12696 16928 17664 25392 33856 50784 67712 101568 135424 193261 203136 386522 406272 579783 773044 1159566 1546088 2319132 3092176 4445003 4638264 6184352 8890006 9276528 12368704 13335009 17780012 18553056 24737408 26670018 35560024 37106112 49474816 53340036 71120048 74212224 102235069 106680072 142240096 148424448 204470138 213360144 284480192 306705207 408940276 426720288 568960384 613410414 817880552 853440576 1137920768 1226820828 1635761104 1706881152 2453641656 3271522208 3413762304 4907283312 6543044416 9814566624 13086088832 19629133248 26172177664 39258266496 78516532992